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All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 22 /mu put dup 25 /pi put dup 60 /less put dup 62 /greater put dup 69 /E put dup 71 /G put dup 75 /K put dup 79 /O put dup 86 /V put dup 101 /e put dup 112 /p put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueXX 5087385 def currentdict end currentfile eexec 80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f 15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff da43f2d20c8fb08aa27ab2015b774db10dacfdcd33e60f178c461553146ab427 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24daf7aea7ce8a63047b245822930d517df7baaafa69d2d17f7d93cebd45416d f3459365434123a76ccf883a4973bab19807e1f0c4bab03a45f7ed69ff2660ff 3963e4def11001eec4238c368a39d874fd30b3c14f4186ec7700fbce22abe468 eb32baf7b0164f8f21a9b5e706b91411faaa44467cb2180ab03de375c1ab93e9 76e11ab92fdd4a7280a6d1a8dc65c4c89d04c8ed6988045a2a3de9a4c7b1efd3 75b461e461b810759d04d2fe4d0ebf05ba01c6d109c2996ebc5866334402f70d 8c20df16e3ce4ef2e470877bcae01557e132199dcc67a5de3ee9d4dc4722dcfe c22f156451f8b742cba4460e43a44efbc6192f514b8e595450954f2e74cad8f6 de6fd696c0f8e356a2f9c323214330ff06854ff15571c282a234d7785161ccf2 dae39695cb1d663bede389c67b5d2a11ee79c23043d5fd079114f718a8859456 ae3ca96cb967be2e3b1780543e45e7c6396c1ee46257f1498a9828a1b519336d 890a2cf45ef9072c887248fd9cf74dffbc7b7eb6ce5ea07c12f44e7ed72b01ad afa002a831256c508a6f10d50f8ea3fb37cc3a7023becd610b790e671f24c67e 8e97254186f9e58da548f2b5954b000e3a2e8ff0bff6ab5904f9de1edc1c4529 1cde7b8db3f87879e6774ed1e73ff949d192b7953d64ca2ae69d78d17a886db1 f9ff3c4cfa6ea66f0ad2598070a69250b5ab3c3d5e9355fc5cea0c32f27982f7 92b8b05dcd9b3f25027016ca4454434c0bfeb368e2de0033e5b8addd5f40c7a2 d68a014d0f4c9f0e1cf580f0b8f0fd56303739e29b8d5a667daff73ce82ea704 3270f10c215ba91118f05acadc2fb55a057f191305c948bda0ef0b395fbec0fa 5eb5adfb1c8bc5ca57e1fba5aba4fdc1b660ff800fc964adde73cd40dba231bb 59762ef1815992cfdc2240073c6f7669c872d6c20acb634326a5a6ca5e0c99d6 1f1dbebe4fa26e5ea7dc1f39e6fdf12dcf07101f225b821eac39a45dde98d455 a5ec68aac18ff96915e98a42d51ae62e34276990f5461ee7ed06e1eb11b1d651 731399c5d248cc833d26dad65e3e2ea8dfc2a12293a0f924d2d5ef030b2e1a6b 5db8cb6b26c0e60e71f134367985020a4045c0ee5f7354280685376d1eecf780 31377250cf0a560089e8c6445f27115d196bbf7dfb88694106804bfebaaf17a2 1c22f5e5fca4839709a44e8e8fd84bf772d1bcd8e1cfd823c8dae2d666e156fd ef1236f8979985ccae5863aa637ce46e0683ca986a6419037ca24c8e89f59920 ff47d30514dc698617b5eceeb2f1d7ffe2e4ccbf23545fa2bf27265e9e483094 a2129728e19c600b432429c7561ca1c012b5a62f99250315cf25a29d6ba339db 1cda953c2d9145f736ba8a1bb71af8196cbf0f3e73cad748b9a51a1e90c62638 9674000e86d784f1b21591cc55da319861a584886b7793409463452728478a29 1749c84aab712342e3c813e79b35e841004e9a31a936ad27afdeb787912f2fdb ddca03040cdb7bb5010b112488a41aa1de8ac3cd0df29ef802cda2f5789b1485 e79d7247367eaf07fe541b9bae588c9686e86bc95ac473ed783d74d7883d4c6b 3931acb0b581aacfcfb1653d3d95a072f745af44c6bc5cd8ef34592f522ebab4 007ef315f5ad3d8f5981054ff412f63499c800e73f0d9f5435ce1563d84d819a 2760a267380709fe84e8f418ae277cb1b36a5c2590ed6d2f4945ee1698d60811 bca1f4172d6d5bd7be04efbab3df2ad8d2e85d891b844ecaa2850894c4c99754 6bb76d7c0015ba123a78c458eb7398f3f452e45e0a0078b69e2ee2961be170ad 32d234b149c148500c6b34e7bfc7b2b7278a2722da95f4bdd6794ca824172ae2 8769ac50e6e8b6a5c1c1589d364db897e063a177d2f3571ded4ae044f6f8b929 ea024645ee1a73fc676792286ec323e6186a6266b843c8b16b61a7ee8e8e0b67 9cfdf7266657c27cfbbf7c84f3c96d86dcd6c6d70820ea569af75c35901739b3 b020eecd57605ccc7e791bdad7b73ce608b45a5ae021147d38055d18ed6bd5b8 eb8b8313206c4f3a6f5096d32d4349c0c43cc79066e9301e0118f9a04a4c9965 f211e18b51591eef58279b28103b80e11e4fab504adf1449e1e3d8c308fa5925 ba501c44e1c49e10ce928e24fc463bbeee37e3e5df88561e60d3c9138dae37e6 df9c4c585977b20a3bc23a31bdc9108e6a5a2c54ec5cd8e32fc2c415de0003a3 fd51bfbbc81cab5180033688ac8618d133d11701c2ca773e0c0622fbb4c461e9 b5eca875c9843f8dd8f5e3fa67e5c07ec005ac5061a931b5429f56980c40b185 6658d83c41b4e84ddcc9ae0fc7d82eb8ed2f66e40b16cbc585a506aaed887581 360015dfc07e3c7250c619d898b25095aa7026d0f0d4bd5b50c31f328021cba9 ace49af38ba9b92d6d33c5bd9124f948c7af2615adc9344ac0b1ef70bf94dfcc dd8912abf1d1b32cb0d0736e1df4fe246451c1e452a821dabf60aba239212cc3 6cccfc37a37e2edd695374f915a4c62257a51f721f32048783e17c8c536e6676 14acb859863f4637f3fc9d886d22f1e58c52b3278983520ed8eee7648cdc1f1d 1fa4794ebe652f6cf21a9345539f283efe2738891a656c1fb72088fcd703f96b 79b64482fdd448558acb5f91d88d9a2567f979d1b0aefd4ce805e1753f5c93b2 3312866b819e9585a0eff3a08a1edcb3a4d39cc25566558372f6246394c58be2 a8c61a48dc8ecb5927c95ba79522600883964d7b55a9e2330f2abe4682b293e2 84b9ad2ead0fa08f0a41f8659d67b1c56f75acf6b9cd739960f8ed0b4754d6e4 9ba56adfae80637f7939ef681d349f359074fadfc0caae0d86285e4d037e5720 bd519331d3412818b5d3ba7775029e069c65579541430266cc755a13022f31c3 f79dbdf1ab1fb9308192cb32e3d4154f3339f6ffdc45d4fc767c3f57f2260cf8 f9ee6b4de00c6d87fd7352389cb86a98d030f9d74f7e4169848e67c1b14ce1b5 7de35790ba852ef4669f41d248ecb86d4c05b2bcd945242c1f834a9b20a50c53 23623c81e15ab61b221303e230a4e0baa13e458a9627fd5c1107e15dfdad970c c70ee2049938c6cb807a982da405e5b6dd4ef4a19792e9849ed269c7d4ee96c3 a61e5fccf9d955ad832caf31fb7136829a00dc4bd893afd2b92c5a2b7bc762ba 4ed09fb223b2049bad784bb6f0f6f1787fc5f9bb39e2da14e4a2d9417a20ba9d bb8f96a69e057a687093c6d70e9df065afa421fb9a2380d7235ab73ea6187b8f 04b6b23e8ad5276b410a81b4f17292713a90c6ce07246b454c28b7d3752e09de aab3328da221ad1a3c97c6d7b4fe8b96eecbfb561c5629da283f09bd69f33370 03f7d3cd7bef84bd6bfa7557fbe6909128edd49cad8e695d405d68514bc8c453 b2866e35c27e64c75574486a81a15ed3a32ac84108590ed6069174c00d64c3d1 9621eaf3d9bb39fda8b8e3428d1e333c200b5fdadc7a3233f68f3a330530aa40 66ae1fbc520cece630441beb438eb1c16c8342fe1ed708904b5cd1a818c26898 c226df5170 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueXX 5000790 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b448685940729e6e22f4be0e08c6505cba868f7950 93f556b64b808dd710eb936d3ac83e5783b5f7e56d363a59a026a5619a357d21 c4e77bea121eb24b09027d1aad93158edf912940e91cd2f17922b35885894644 7773730bb19af9e70453e1b78d5edc123b273a979891d6d5e624f4a388f3897e 13b045e34b4ee2f5e4fc5e996d3549640010c671de14d18b0b3cd300e57dac03 22e59bfbf7b29422230870f5897fcfaad4b50c7c1c58edcd119218163d6f6e56 25ccb882db7b6d09a1586508e8cb642a11c29a46915e4a96e282079cb21922c1 c2e360b487a45302fd22ec8c5fab63e54b5e844d4b17ca2fff37c69c366dd72a d02922c14c0932f65ed03e4219c117962edbad2dcdeaa9c10ce8af38a4ae52e2 b377245b0be19a77d6c936e7530cc4d0b78d0cc4a92698fa2870fa54f2d8503e 2d17b3d52fb2febb09f2b2af0c2a1892039ebe19a690098799a858e3d39631bd 6925a154d161df3918074ada6bd52baddd0adc3f07e2d9f15e27cbf7fe8b98c4 07205c811121fa91e059f2f99322fed63f359ac9da97aec383f067f23e5de331 51e80f0a88ab50fe8fdae4a5de93c1ae2fdca06150b37246140c0e87cb2325a6 0d2349162ae3ac93144eee1e665a1289105318fdfe86b6e76251cb25adc967d3 d0b97fe5e279e1161736ab22b4ca510b964342383a840defd38f96a7280e6ac1 34e48d740607ff2e7804164a16d47735864db847c97335e6d4215cb99911a1ec 015a3edaac1f28fedd56d2467130d07bae9416c15f0827d27c6c79f59054282a 418c12c157c91223a829947f47592f7cafd93ca182b25a73a9419127e3b12a9e 5167ac3963f2b019b338ac46d63880f94dda4b538835884d2a5538c85528d6bd 977f844d32b43b0e48caed5a4bdabcefe71695d69ca784df9e0534b6b46e66a0 cf2fff3b9f9ebc955ffcb67277f7810ca1ba5be246c53a4cb97684ead524ba2e 3f16e73e8bfae82c35c6cf8675e01b9f4001e0919583538809b4f08f241c0f8b 8cd97518b733bf907e314b14b8bf192b462d5767efa68460b3b18692bae2b231 e53b068d269d4bc957754daa09e8b5a6f619e69dd73c989bfebb39ecc762e2d2 c29652b88b8ee44d20a31a6d4e276ec08e67101c94c804ccfee7661ded6912d9 332fdd5e8cbd8899f9b2380e5d0117bf8a4d0e6b69b5e55f891c4051e1505ca0 94b760d9a600697143d23fae65c6631792d7d329027dc9669757a259baeb5541 ffa46c74928f95333a82e0d65138743698b755fb579e01d7d148666460f0b19c e62f85bcd780acdc50c6ddea9a099a14a81192d316ec0cd76de2ca35fad8c81e fe546dd00cd7fd3c55be2786264778464b3071cc3e6b9581e630aaf3ec5cb4fe c4b810cf98aa42eee5aff85a313520b001344a29e75671d8a2f17cdbe45733ef c961a73f6aae95f1d7817aee87131653664808067b1f521d7bf3ae05d4b4b6f8 42a69ace3667d322a1784cc0c71a692a5248db47c61d90a0d634233053f6e10b 1159c39d5618fd3023b06bd432187c3a820eab125e31f825f143044f83d5a534 95146a4551dcbfc89ac4274aefbb7de9c826447005f41c0da5d1e9ed3bead775 ee7fbc0c84c250783e716f9321cafe63e83367734aa648d589528e2eb472af83 5aa9997bae6c4df5305f33b88077e20636271b5fdd5175588256a871702b23e1 831bd2f24eb25590d17f225d78e2da86197700185a135f79f1b876ec436015e5 6d00e53170629481addc9532cecc40eb964c0f3994e7b771933449233845d6b4 f2230c4eb1ca7ba46222b5ca13968c005e7832a0ac561604f871a9ab00ed74e6 9f3f0628037b533b1620101716cf7fada166362f873bab8734e70bd0dfcb5323 bd33ecf2d6ad5fdd9f00dc8609c79115ee7dba32dc6f0221c9131d66d542cc60 53ae6c74328c1dadf35d44f13a86c7520b34455458f5dc2a614a14553e9da539 81c47b22acac7cb00d66b01b5b8fa79a96a2e15b225b7f23cd96317cd288aa19 c4b4f35072a627f57a4289cffc003a56030e207baa63e51ecb4fc5ff676680ab 7bd2a749c5718b42fe7c5a34ad99679e76bddbf301b19c43ff08eaebd0c5a015 82a8748a4d798a0bbacbe3e4b0995dc9a6a9f6dca958a37b77cb9f57c3e4fc65 c1e24f38c4f52d7dba1e1ee23f081c3f5b4e6f06bd899b511b31cda3ca8f8ac5 dbec40456ecf25e9742312c48833ebe7fc29e998c61266527680d25ff1c1f09b 726635b9f12c00f240b693a1e07346d333de37c660bd36fe00913c4a7e876494 e8e38aa8fcb42e3732e74b4c6826af5038daf986ec68823acb95f727beb80f5b 148b56e37844d1b560a7c4357c2cf495653be25fbb3a236f15df847586bb2c05 794ea5a975aebf7c208fb1decdfb7f930adccbab537248856e5ee7658f00b30e 50ee48ec8b587a2ffbfecfc6cba48a9af33a362e9b4fb9730a3e587216c08ac8 e5c90ea88e917a6d29a361dd7ba94313041cb1eced69a2351278ea4c71d4da5f ca65590376e7fff4d621d39c06c541c94144e3b6fee2aeca7cfcc3aad469428f 5996038704cb97185ee203450958cba23290c0b3d1b556d40d790cf2ee57e4dc 7928011af03dfa442d5df5e57e0c77c08c3d56980bbb4f418be451f244e29a23 930759743c9998c94ef8797f6197cd0bbac6f19135ed7c976c9914d441ef65cf e03eac53b7e0272fe54a8fbc5699b45998c86717dbf121dd62cb7a8a05885802 c045ef8e809f0804f50d8f2fe4d6da846f772d00489f2283dd53f4bea2c5205e 2cafbea1338c30d46755f541c92483b8f8e92317ff63baea7432111633525a23 d42d1255bc02697ba7a87a1eb9abfdb366e25ebe1a6eb021d281d83b69e8390b 44cfba7075e77e45ba9dbdce24db97c6646952ed496a651756b5e180f5029477 1b0bde1432bff9534387b05f5e551bfd8a262d04f6d785b82ae8cd0bff01586c d1c6901c8af6275f89f4316d11a35709a2ae79d870a38f62053ef7a8a08d5672 ad198a8ede6316aa7240c747d035c85481f166d94099981128ecb1720aed0b61 130163364384558456ec23dbe3a158d10a19a7fd8fe2da2ef13eb724d5b50a7f 4e4ae0c681f23103e6e8d738e83276e15e7422f0f844833745340c2a040bd6eb 952c987a50dfa7db0d1cc9bfa2385f2b30d09c026c0775ac005159b9d82a2ab6 e2e4f2917e69ad8ba5ba4d45af5d1c2f98b59778f9af9214cf956c324225194b d46e04144e971d67b1b8d8f7f7e3ca9e7f1fe493d3fb8a167ebc9f439e45337a 2228a68fdf3961f2bb9523cc078fc5908bd87d0696d7a406785cb1ce61eed61b 4070500e53143b6e0d18dfe693f863378e13ee700f23d37451ecad1b74f37052 881167554e62e20aa19d69e4cd44c97a5ca01fc851aec425659c545aac108101 a7079a41190d6ce7bb8c97aa60da0beed09e0aba1b2c07e1aa717481e07e361a 0f63cf8659924bf379b129ad7eb31f76d9 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 49 /one put dup 50 /two put dup 51 /three put dup 57 /nine put dup 58 /colon put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 73 /I put dup 74 /J put dup 76 /L put dup 78 /N put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 121 /y put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueXX 5000828 def currentdict end currentfile eexec 8053514d28ec28da1630165fab262882d3ffd20326947b1065649b533eb5e9e3 a88a87fe987918a687950b26f647d6e08bf14d983ed1d4a8ca1e2da8d985f944 2eb916f5b6ed0697ac7c33e1e36a3bf460d34ce45f1631871097cb04f18e3889 4cf4ac1538eb19481311d24fe3be7beaa4a3730e8b4831fe59d6d9ce2e46116b 629c7ba2f9ce3ecba2f43bc162a5a077ca1b2882a42afdcec3f4b75b5d63e0bc 8e5dc95257766d8ea467ad9cbaf47be60f797580cced6884b3a68f70c91f4fdf 80fd00ed9139e7f480dc3a76af72ad9b434187730bdfaefe4cbfe5c7edcaaf24 9204fd703011932e5a3c27be468b7dab69daa18dbbb6335ab8ddfdc607961c7c 02582763fa069d43563ba17704029945cf42fcb19cf78c51df0ec4d851086d43 c1ab38e865ef36865fff3a08b01cbcb070ba4893f7482dc7819ad03d337e520e 7d8cd83bb8ac7aff4df36751f4f12aaaea2b6d7260c09a26e987c904003e0723 7dbcc4a8e4e85cd3259f40d3caf55c742cbb40ad0db1044c20a4f122a63f7b81 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4b4939a48ccb91689e0eea133f7abe334f30afd7710498403162cec2edab70ae 7ee658962bfd594ec6636350d72c91e1b3f9c3894cc929e077c0aee20ee095bb 5e22b5aaf40c5f628306064828e45ae47c59cb2f0804261556bb557b3e04fa31 4f2a11793f13666743d8f78b05cc4a982147ea4c925a89c8c71f20a56a70c48c 87ad4bf67e1a52cee830fa8f4fee49b63c6851cb99d4cc510723d1ce194fcad1 c91c6a844cf9942d0a6154c198ca7d066b7f5d3b9e95761d46de990c92a172c1 c4bb8d1fc6d3adc324b56c4bff1dc1edb834da690d1e3f7306c1e365c3c99c1a 799031149850a65e7211826a10f3e39bf527ce8df4a95b217a16214ccfb46435 336730b87ac15250861fe5e118d9b336034ee194cad1c73ebf0a522ad9cc1c99 107248bcbf0eba4bf1e1136736657620c333beaebcf0638ac6bdb25d0bac4630 962d591d6759479b17b6942fe3c22d05d77da4b2afaf77425e93578e46963ac0 648502df05e019d8c4de3ab1d3482d6885320a8fa4510c443b5be96c5ec9b86d e6deb980107ecca842f75e10d6353ab214b850f28c95acd625cc2d1628b8978c 53450c6bcc019b75a58e9b04978fe16263ce17ac966c0edc8b6af116b85877a4 ba62c557749483bb2639a1a084b0506dfe101f51f134ce17db502172ff6ddfa0 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841ab11224cb281f321f6540e3d58815bb9a2c346277033e1506b2eb7b2a0240 ea6e2e22e5f9feb740e9ca7edfb4212debc22e02175ab503c4cd17d7a7b0fd27 b38e0bde71cd38739002496e0ec670e98b29fd2efea26bd769da2b901fe346d2 27a775f67f8405e26cda9d6e3c25f4b3ae3da4353475b39ec48ba3c65af77278 39353f0a5f667cf904b5e1fa14b42155be94a63dfaa5222633692e1ddbe5d42d 7adf39f31f3004ce5961478738960adbc146e9169db928ce7e7900c86be79634 040dd4559b9389d41c5c060bfc0cc7aa0d6df9fc09f3aebdbbc2c3f2a6599675 3e20946f0ee72e64e57c8ad2fdb292dba768188c1d5120d609151b04dadd4f15 e4cac6bf51f072d639ce7ce4c42fdd26bc061e25c416ec7bcc426546e62a918b 4159f9b869f4bf4c3da631a576aeb130118924de62390ca001114e840d8ba6e4 bc3af23ac1f457c63fd424509cf4d3d0cbfd592ab4360a7d4770092bef6be5f7 a414f8de7671cfdd99ee5a40753fc966ec4511b09cede30a96b9a9d0883f92fe f517215339f60d36883f235dafaf649aaa30987864f4abff6effbb12ac4016be 60ea08a1c3b971b3a3e11cde26a1238c55dfc4ad0b4a79e03df7ba14b5240fcc 3943dfcf733745839629a3caa7e1657eb7609a86d3ff3ff4a2f39046342697fe ca2e7c58c46e202ce537210ff86efc54fd6ffb1a031696b7f33c3b8b9449ed1e 498317f13e32df59d9027f987f991338922f8c25eec49ac66200f452cb963f29 93dec18dc59dfb2031198059be888b82a4b29c985554c1fea06bb59cdf5dfa0c 7d028102ef21903a48e89f45e0f797fce2b6d51df90c3bc4a576c0364d69a9ab 90d1f72b5fe24807d84f6328e03f69db02f92451f3c8103e210bd695cae8d743 a76b5168b7e88356d6d1b3db5d3390d8f2c90b3ef6bbecc264811db93e699411 e3a276873b3e58f69f6d1a57624ca6a183def2a637850a66577d34db13f22a50 a156fd6d19bf1d6594c4eb5c1384fc6b1c8bc84fc9a320e9609ceb671d1411d7 ad501a40a9cc15f79dc3e5873edab23c9a8dfe547f0e8b1527eb81997a65c448 c99c9d93a95df1967d62658ebb5d77016bb6d2c4bac0f21aeece8e0feb1315c3 a8c1ddb007c5f8b2aa22b69d00ecfaf4fd87ea57ef9dbbeba20dd8c9c1cf7f9c fdd6ce4b9ef74dcf06324bfb60bf6e3d58a5cc9d46ae5bb7ad83cdf64e63508e 2fdac57341c24acf485ce0d3085b7ac03d77d02db2670e12647c89fd666c1df6 455f79602bcf2b397fc01f1c020fa8b06d2871ad9d7a0766e40380ae27ace2dc ac4c0d9a738f483dcd45cd3a1f6a9c68f7a6199ee8f77bbe2430a6674a1da7e8 2406de70930a2913d928b8a8a3e1fc219dac74ce6e1868ffe9cfdf39122e94aa 7e69f4834744095dcc2ac200ae12a754f7f4beca71169e90c7cdaa28877c1784 b9d08fc2c3919e99878e3d53c313307af8cbf31a34cc142b2dc59995d45d19f1 79d16c2db976d4c88ce99993213c6a2c6347f37a8111c29f88995e5f7121c6bb 4f0dc4188b782ba93ba0de703e303acd52eb537bb508ba8a5065f7bf769bc6ee 3b197876b95bc36276be8a8f69b2501f79baf0a3c049b0e9c8e38b3fea9a7cee 5cee83b5c69e0c98acdc178a6e0288da83bfc49a4b6cf41a9f1405156f6b1b96 58aa6f9b07cdae6239cdf7337c7c2ca98283bb90cc403e5c828b981a89b3cb89 b6e070e61c972a388a58e99a432c8aa14d8d6cca5d63c4d9a329344c93d6b9ba 9e564d1c8525d934da02d6ecc399139b6906cb5ff88efd8dd06653af95893681 61a5505c452c7e2f6452ec75f1604de5ac3bb9b0a4e7eac708d812b50c521d24 42ab9a3272f86543a915789e6f38c8c1ee1540d79c5208920c47abde4c481d23 9a9df6d37cf5e069346981fa82fed9ed1becb435556366862d9458bc4a9c0ea8 e090781ad07ed8e85372771cd4e07d092a69f1c59c57fc104398a2641a228fcc c80b9830d0f9c988720aa08cab9e02242396a124afc251a53f7cb9fe107c0ac0 0c9a0fbc7ae54388336666e5f19fd6ab9114c97513ddbf35da7a97443dbb90bd b1517d00e8d4a5c7afd23b203f99c53284b0e6e72a712aa8f2f9b8738dd803c6 f4150b8e0654647cb705ff4aa8985f47aae0a9f2996271ea8244ebed1603a0be b0d7b0456eaba3d5d3568783b417dd79db5729cd7ff4efac6a47b5479e60a7f2 58c1faae3880be4c87a9dd17508076a68cbef3c8eac1ca894a4c197d6fee81ce 1d153f29fd836809a27b77bd7f5f1742bedb6d39822b0940d1c165cd44807475 d489a8fa56e29e1d12a5b18dda6ed7b67c14ed6e71b61d47ceda673e005f0bfb 308968f6287c4eaf3f1134f43cbc83c664670ca407719b5c2c5b3bcf173dd2ec 7a06f15c92a3a75726e8cafe5051900558a5ec26ed65a136bed0cd8dc68ad873 121846c4f1ef187359b631688dce687480fdb20960832473138ea369421322ba ec59b5744b2f400aa5fb462c209673217abe1e8abe9450e05e6babff44461ae8 5953921af9261842bd82282ea1ca712b28b16b413b82774004c5812b0da048fc a29bc649d82ab6ae76fe403e8a5b47f5df95e78080a00f48fcea67350732fc2a 7dffe26746125d1e4fc89a6c45febe3e34687a40ae711a9b7752921124d8aa00 75c455c31874a322088f921e1686a7f09e38706668f2fd04cad93f45f68dd4ba 33ba3a4fb8c293440feb325f68931b83b35b3f78d00cd81b74ca0d81abf35f95 74180e8e1ff37004100cceec359ab1762a221a838a790878b9ac266756055fa1 81afeacea5991b1063b0434256875ae909e575006ad77d4f3d2f494a78606365 620b238e48ef0d7494f8e8f6d0efe98a9c417289504bedc83046aab6f5047bc0 8942c2d5479a9afcb46dfb2ccad46ec28734ca829e7996b3d161b847f7e5898f 8c2b29b8e3a1214f00f154e76789b12eb98b9a76a37ab205d6abd75cd3028cd7 2c1b46797e528861edae88479e4188792715f18f7d9090a0a7ca5252fc2005a1 9b7f4744754b10b2a6b05a3ec76e6996c9facb44c7e2aa3b4192c955767c045d 1feb613b0951092ed1c997ae06be1a12c1673f32308e41fdbc67e5deba7408e2 261853f2b4c3d532c774e59af07f3841496b99cfe6e04df5518657010141d91c 285cfe90457f7763719b89627737e32bc2e4b186bff234b7f8bb09f08b17d558 f5ad29eba0d8a2f5bc5d884159645ba07c14c789771efd0014e35883ccb23b21 48c8e129f04f45cd4687e6554006d798ce4f4405e4013f5b54f2a5098a2c4045 de1cba16f9c06bf03a9a1c75f8fe3036fefd83b43ca2956df659d8e9450e7018 6b26ea1b0d3a54d6e2d2e0492da0a0d806d368cca957bfa5895c44282a26772a 278c4b234e19a415affd9a1f214b3b335424e031d55ad6a4caf82780896e0d57 5c28b3bb3a2caa9c00afdc5b53fec1825bf727fa4ee6a371fd55be282a0517f7 b42fcf5451f33893e717e6e8eaf9f38aa9249d26b1efb042c665faeb805c1b24 f59b47ee7a9048f30e15841293bb21823cc58e0c571757f0716b5e0267b6e726 c4f81a853b0ce6e6597d1c1cf61697ec323c5a75b219511fcf6b9de445b65cd9 d67e2b800db111fd12ce52b6d7df4082c1418c15ecac5886d072ddc4fb8d9121 42006df49f23a06dfd7180844a2cd33621aa982a814c7d16c6eed1e03ac8e3a6 aba6b4a69d570ce4707abcc7c1b3ce36f0c62f86145f6ae8f06cb246657b3d6d fd0a0fce4409a59c5c60ee7f56d089eb57e98d4ba64a32c864c8b55ad35c8769 24e355c998fc87b6a00904efaf400232 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 15 /bullet put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueXX 5000820 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bac8ced9b09a275ab231194ecf829352 05826f4e975dcecec72b2cf3a18899ccde1fd935d09d813b096cc6b83cdf4f23 b9a60db41f9976ac333263c908dcefcdbd4c8402ed00a36e7487634d089fd45a f4a38a56a4412c3b0baffaeb717bf0de9ffb7a8460bf475a6718b0c73c571145 d026957276530530a2fbefc6c8f67052788e6703bb5ee49533870bca1f113ad8 3750d597b842d8d96c423ba1273ddd32f3a54a912a443fcd44f7c3a6fe3956b0 aa1e784aaec6fce08dae0c76da9d0a3eba57b98a6233d9e9f0c3f00fcc6b2c6a 9ba23af389e6dfff4efec3de05d6276c6be417703ce508377f25960ef4ed83b4 9b01b873f3a639ce00f356229b6477a081933fef3bb80e2b9dffa7f75567b1fa 4d739b772f8d674e567534c6c5bbf1cf615372be20b18472f7aa58be8c216dbd df81cc0a86b6d8318ca68fe22c8af13b54d7576fe4ca5a7af9005ea5cc4edb79 c0ab668e4fec4b7f5a9eb5f0e4c088cd818ecc4feb4b40ec8bd2981bf2336074 b64c4301c39221774c4482ad2518015bc80e2e96dabb4bdf5fbde00562af1aa6 90336bfc814e8312dd70402bf02d57a3ffe05e732cdfddafc00d318f83a79439 5eb8460eed2f5f1e7a2726c02f81b69917baaf163033a49dc10f61f35c72d3c9 33039c21bc71a9b4b25bc7573429924340b16d1cdfe6a6b93450c50f15b6229f be901e24b3d21bf434b7f60802dfa0bb3462a12bff97ca01cf591cba483a1699 da979b8e79d363c1849565820b5d62eb82d4e481b26944bdb6f0f02642252a86 35e29f2f3f5faa4444aa607bfd3bf4ac98653fed 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 22 /macron put dup 34 /quotedblright put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueXX 5000793 def currentdict end currentfile eexec 8053514d28ec28da1630165fab262882d3fca78881823c5537fe6c3dda8ee5b8 97e17cb027f5c73fdbb56b0a7c25fc3512b55fe8f3acfbffcc7f4a382d8299cc 8fd37d3cea49dabdca92847af0560b404ef71134b0f3d99934fc9d0b4e602011 b9cfb856c23f958f3c5a2fbe0ef8587d1f5774879c324e51fcb22888b74f2415 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5611d699931d33f9733125137177fe77030092996345ae1bc5251bffbdbe0384 6cd99ffe54faa06c55f47b3232e01403e890c09d73f84f304a72fb1b24d27f95 ec4fab6517f01011268aa23cb9d5dc23691570397677ff396ebf01769d43fb87 505f3b18a4392fa6dd1559fed2702d17564c7f5e2496aff7e57ddad58d9c4d2d 149ac890652eb1b80922cc2adc557cb69cc5d1f4e1e081be3fe2fa1980422ba5 805022d21ee5d15e728c7eeaa175598733cbcc8961fe 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 44 /comma put dup 46 /period put dup 49 /one put dup 52 /four put dup 59 /semicolon put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 72 /H put dup 76 /L put dup 77 /M put dup 79 /O put dup 80 /P put dup 84 /T put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueXX 5000791 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b4486858b2a4b5a0cc2e1bf4e2a4a0e748483c3bcf 5de47cc5260a3a967cac70a7a35b88b54315191d0423b4065c7a432987938c6b edad3b72ad63c2918b6e5a2017457e0d4ebc204b094541f345ec367ae85ca9bd 24568a01d3b9f8095f7420e6c423c414b3dcce6da48dd1c89a56d078e0d0e2f2 62a13640a06d17e44ee3866c3471fb58fedf5a3b77294517651c16bdd7267d39 a54e7171752dbde63ac19bb4b3021ce95eb5fe67390b09ae4d9ed4d704a67443 f55dce17acd996c1f5e023c9e5a18cbeecc3097f23763acb86cdd7cd13381ae7 4e48495ec7fa520539d87f8a8dcb3c826275469b6800876a457e7d1e5be867c7 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI9 %!PS-AdobeFont-1.1: CMTI9 1.0 %%CreationDate: 1991 Aug 18 21:08:07 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 58 /colon put dup 64 /at put dup 67 /C put dup 69 /E put dup 71 /G put dup 72 /H put dup 78 /N put dup 80 /P put dup 82 /R put dup 83 /S put dup 87 /W put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 114 /r put dup 115 /s put dup 116 /t put dup 118 /v put dup 119 /w put dup 122 /z put readonly def /FontBBox{-35 -250 1148 750}readonly def /UniqueXX 5000827 def currentdict end currentfile eexec 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88d5d759c7dc28081539f215bd5a8477e8e333ff15e6961a247b9a05e7529a4e 93e4cd88287cd16a52e5184ade072a0f6af711cc42b0f0f6945c30fd20c0d40f 827ec9153a48aa9367bb6c2d3d04a7b63a40ed1d26932801c3750dc7bcbc0f24 35f5862f6b11b8401c6467415aa36068cab1a9daaf42ad650f804f487fb91e6f 780f7fdcf6391aa5af4038f3dc37caa0d11462fbdb4b50ee1f3ef16eb0a5d6ae e1c827eb8147fa7bab0214838651779093ec6e90fef96a6eed404f0e2160290e 98cc1900547dfd922e48ec46d94a56d5d149f298e2e52d02670a3d88ac5b8219 76c4a2ad1db45d0be09df5bc31afb11758c848fcc4daf6bfc080ec9a74d46e28 b5132bd271419b31ea2a564b1360be92fc10d6f8aced7076399cee055e501d83 048284e713e1abc67bb439ea9a614050e7f45b93b6de262607245616ae69517f cef1d33f02d213627b30a8c816a94a5c905aa75ec6b7906e7c51b2b523688cc2 09bbfe435a7cf345c7a5bdfbdddc5a9fe21a4d7c3aa6aea76f251cbc099a67eb d7f75fefcfa61308964e33c215ed5d88ae9505b0eef2f3b1bb6fc4606ec58cd7 8e1d66121626915df7caf78ca06f7bd7844fe9a3220fd4b1b40f1e735f01e89c d91fe4ab054ab829b68e642150a92cbcf023f4887eb393ff85e0af40a9a58a31 be7ea9aa27feb54ce3145ca1bbb48c15f69f9c4a3001ed9f81be667dacc02d68 56819c34eab41c1ed2fcf5932e95bfa9fd3d57fda4eac835978f2e570de053c0 26fe86f005ba8897ece8f8e7a7b3d047fd461233273657d3475e65fdf7274680 844ebe3667d91e181b2e64ec4fbf462068afd7569645bfec88a612bc30d12b47 9c1c993713a05bbe92bb1eb502af38e4471ee093d85b4e3da32b34a58d147a06 808f929e1bf024db3b00cf6045f1574b26c849016f22be01f902c3399779089c 8b85702cbb61b91f0ee551c09342242cd1cc889fd3181118de4b34fc8da5f499 112599786f1ec080e782b6a5408af884451570f6b6664e061dfa6fc1f0cbd18b 9efb9726a7e79dc4b0bd5868c124f9f992309c4a8d8da956a5ac58f0ed3cc116 9837e01c2f80967c6dde846a0424434d99f0fd65e0ff8065a11e2c7a2e88f8b9 4662cc055a6b9af860982caccaeaec1f744fcd7980a65ed983eeaeeff3246953 223a7f79a18a1c394f930cc2aadf2ed5cd5023cf893f96fe0b6d112404842e3f e5d8b2c397ef5fc8e7a997e1ea8bc1f9aa014a1138f7791edf31acadeb20dac0 6f4fd09c8f97296e0845456fc03d2bf55a9706ad0413a8b6b99b9665987b4f2b a5e127060f3db48a1e1ea0e1a5e06ab4e7b67e84a699ddb46f029aa34d305151 2ae68677ed0444ed37edbb576fc119de8efa40390b8cf1a5d90c5c4a0b4974d2 a7ab62628ffcb7c2f2def3259ec5cae6a3af03260d7cd2c5b47f95aaf2808453 d8afbf780a2d21862140e6a94542dfab7cdbc796cbb0add3eddf282d1a612d08 ecef6af5 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.1: CMR9 1.0 %%CreationDate: 1991 Aug 20 16:39:59 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put dup 67 /C put dup 69 /E put dup 72 /H put dup 73 /I put dup 74 /J put dup 76 /L put dup 80 /P put dup 83 /S put dup 87 /W put readonly def /FontBBox{-39 -250 1036 750}readonly def /UniqueXX 5000792 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b448685bdd20eb05d5e7c2126132e33a59a7170609 dcf4871a5d023c9ef57d3362d9f2d7a440bb69bf653364105f16f4d0f03582f9 aced3d05cc76489b16e3fa8a446094d30038b06ecceda269f2eab9d19a99c7f9 39f9548f206c5a457a19270b2b82c43b091dfc5573468eaa3e7a4a32f8042891 d85e4b180fcbcb3091d2800e54c87d84ce9cad6869b5aabbbe47f40c68799893 d22b765295e1e69e33aa048b7ed98ba480ceca91f3ebf8ef85fe9a3976909626 b95ac5940d53f9b02215d84a44837ba25ed15cce0d504f1d335065594f3bc824 5405407591cccb11cfd4645da60d960c0b93f187b0cf7b105543c0b70f89af5d 264b6c026e3ae646acf145950202ec73282111e3e601cf2bcde22ce3edf6db23 516481420f26552ff4472d749811f27768150450d0d0ebe3c79f999e99b5c0f2 2eaebb12d97782b1bd91b2a1f62a76412548ad53c0dd411d4a08c0f071c2c218 63d9adb75a4621803ecb84c2bb235b620b658984b2d8e0c4637e2811bc8f0d04 6c8935afc70141e1b2d9c23bdb251d304b3378faf8928bd09686aa0340fb0cb1 dc48c996ef91530ff078666fad227a3589f50b605267212d3a65ebc1019a8eec 9a0739a00279471a01e1505c17658c10030fae32f274fdc8c8774b0d5406c384 a1d17068dcb0c2575c562fdc5a2176609bad9a2c255e426a4325a4fc3053c7b3 2f35f7bbc9aa50135f30223360fa2fbf019294b3af98224c5c05d6038db08bc1 4103010094dc215ef9ccfb96b237851332c8ed81a9184cced4edbda26b381f0c 73a2bc4a92533b0e667e82ce49ddd8ac9e34d9d40fd4b5b9910eab3b1234bbf3 af6608d66eaa424c158eddb75fbe39462708da8f5c18d92fbdb2f534598a844a e076f96a741f8002af3b38d7e4bfa363f5f5d1193014f7187ae358ab5e53cd35 08ae0d5b6523ad9caa521a38d1fb5189b58ed8f78ebf05e3a8f5bee9bc259870 8c14c6d65b42b53f71736c8ce8588ec8559c670dad4bf2da64b231b46c7e48b5 e930e611437396cf79ba6fcfa64b6585bcedb4b5fb1045b20ac61f75891262f6 f0f66fe00eaa19cbfa8ad467a7632eff0a2ad6b43641f2d232cac5ab3579cc46 72ad4bae56fd4949cead219bd8f90bb661629f422ca064dfd851ef96b3159573 cc44045eda1cb923723568dae80177e8ba9721e5241e32788feca11c4ae780fe 4cefd559dd9fc361d7c9e226490fa4f85d267f98495b5a1f486d3b8776108dde 8f9c57fdd2f11d1be5a81d815abb15f2400b828bb4dc238915e07cd1bfbe3f29 832d1bfc3c49dac2acd3cd9eb6fc0b277a519c6c98c3f1dd1733a9c720072ce7 984d2e24526b66a59b9f200c22be290f0db0d640775a59c55cc591382458715a 48163490ab8209297154329511aed2d8c33ef6f6ba074ed1c39ba9f9f313b184 f762f945a07f688bcdd83f8b9b5795422cb3987c35d229b7c525ecf882847dd7 3b4afd2fd9916be2745250c1b58d00f6e09b229c9a9f20fbef6ed57ff33988e3 8ba93da15eb79c8aa20f1064c84f542e2e07eafccf4c0d997f1fcd18df073d7f 48bb103666af00d2131de5e9d96b0bbf77bbbc60b9fb85f82a4438365e7278be 222863a21c75f72d0ae3b82bcad8e06676b8fe3889bb2680f2930a03059bf2be 6fac28b287fa539bde84c28d83bfc9c7c63cd58a0bb72ec67a66378b5b33c2eb 8a4dcf51b1ab41b427d8b4f598b9b3ce6dd20e905c563d39f5ae37af6bdd17b1 72f613a7195ead46830993fb531ccf64978b5c6ea32a5ff1610a1aa13f41b3d0 262bba820e0befefbbc45bf4250d86d6a40b14b05d6b941e8344074c78ac1b1b a15b3d7fd4d431b8fa6d69221cfe8eb4f83d0e47e56bcc3662356fca1f096b73 70eec932bae68bba4dce375513108d05b0b463ffcb85fc9bc7c839a93ee1f084 98bebc610f95153a332f87b53e58804290c5449221fd50c18f01a0e6c9a7165e d0236bc59279e9762843bd87079273460195b664f97dbf919d65b4644b960da4 0fefd4bff6403c171aed8e4d3788640e6e5159f75e13753e267b8f8d0bb94e7f f11f21af320df6b25bf618baf24f1d4fe4c0932fd0a35cae7d92531904b36b9f 057a6b82421f14207a0fc649c2f7dc09498bbe1514d61071b064c0e73d412c9c 65df8180a16e3e66aad6ec686725e95d9899cd4688c5f56d12b9ba11fafc17ef 88a9e82b4b662a82b6765ae5aa4dd6655ea4e4cef6f5be223867c2d37ceeef2f 2edd043a6c6c7b90dcb9d8db735ea5dedf7b0bbe0f8ab2c2b133d4b1bd9adf6a 2f5e521b04de5d54732adcdfbc10fadeb3d449e03bc51a80ede1fbab39a729a9 3c76428e8ddc486005eb907b4b4e649466a80629a2f0f4da1d2181b43c0f9aad f41904b8517ed881c29f62ca9b787e4ec24662363d801b342bd68bb2064d377b 6c5f492350131ea4ef81e5ffd1ce78f0272c09659afa1df781eff976a97ac533 f4d753860780c084087a10baab7d96d3035221068532756f568be93af7f00578 5986be96a15a5a96b1db7ad016cde9768a00472ead85c8e5ad3b921ceae04d29 bd72d233be3e091e114ea96d03e93e889b5cbeea83bff4157ab6e6db41075f6d a078d2d415aafc36d2f45659977bae8aba907074a895b9cf1c049c2e695d8c69 23df73b29583d2df0d97650ad63d29141c014bbdb30ee9b1ba73d4117589e155 a1e2f616f844240dcf1bcd66ed33224c069299fbbdb5deca199dd5e0db6dd8b5 030fba9c0083f867377005a00fb24b497cbae6fcd04ac855fb60fd257a5324e5 9943727d8e632323773856e9e252703caae1fe609290c2c297f12338415736ee d14e83b1d4a430f30bc5617ee8b2404590899eac1f60fee65f520d2bd8408f15 63e571781b899a15cea125d45e79a9810be14514919bb2aeea202e2643b740d5 f1dcd18f0685c89caab9cbfa8faa8713b45fd049c6413f56829d236b99d5e86c 49b4b099e6083719cb0779290e3646a886af3d722a47f547171ec0affbbfa567 beb253dcc3f6090bd2f38575175e4df7d454b00b05477e776c0ea1057443bcdf cb3e3917fdac227834e249eb2f850b187d2358d547d60b6dae3b07804a996059 3f2fd22ed709b0034c34f4d747782335e39dd3d04b983a10bbba2b18c7666e7e ab821d30efc04643a6fa241f89531bb3fca441e200ac091b760a26031b3f247a a0001a233c5c8698a8202fe3c23b9bd9011a2f04c2f60d73f5217e6d0c7953ee b1015a4e539d53d936de37c96b4056edba0036df9a5f86a27e2c2858285b634e 55f4 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 40 /parenleft put dup 41 /parenright put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 72 /H put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 121 /y put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueXX 5000768 def currentdict end currentfile eexec 8053514d28ec28da1630165fab262882d3fca78881823c5537fe6c3dda8ee5b8 97e17cb027f5c73fdbb56b0a7c25fc3512b55fe8f3acfbffcc7f4a382d8299cc 8fd37d3cea49dabdca92847af0560b404ef71134b0f3d99934fc9d0b4e602011 b9cfb856c23f958f3c5a2fbe0ef8587d1f5774879c324e51fcb22888b74f2415 50d7401eb990d4f3a7af635198422283cac1b6cd446ddbcbd915db9bff88844e 784c6bf7389803d9450b0c21756a017306462c563d51ece66fcc9c831843ecae 1fefc1a232e2724f7baee428ae03aadb95c3035345c15e9922fe49e1f2cfc980 237316572dbc57064edac9b0db8913a5e2d45e97e19a91435ccf8adfc835b585 48e74b291446d689c7f2f8c4325e8356e974ae30c3e2977477baeaa33d141fb7 80f59351e84bfc88c87b3a4a1d25e168b9d134554f6a581378c7d2d6eca8ac09 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450 4865 4 124 v 478 4824 a Fe(Pap)l(er:)40 b(submitte)l(d)29 b(to)h Fk(W)-8 b(orld)31 b(Scien)m(ti\014c)f Fe(on)g(Septemb)l(er)g(1,)g(1999)521 b Fk(1)p 3293 4865 V 450 4868 2846 4 v eop %%Page: 2 2 2 1 bop 533 533 a Ff(\017)41 b Fg(The)28 b(hadronic)e(sho)n(w)n(er)g (sim)n(ulation)h(shall)h(pro)n(vide)e(the)i(p)r(ossibilit)n(y)f(to)h (extrap)r(o-)616 633 y(late)f(b)r(ey)n(ond)g(test)g(b)r(eam)g(energies) f(in)h(a)g(manner)f(that)i(is)f(consisten)n(t)f(with)i(state)616 732 y(of)g(the)g(art)f(theory)-7 b(.)533 907 y Ff(\017)41 b Fg(The)32 b(hadronic)f(sho)n(w)n(er)f(sim)n(ulation)i(shall)g(allo)n (w)f(to)h(use)f(detailed)i(trac)n(king)d(for)616 1007 y(lo)n(w)23 b(and)h(v)n(ery)f(lo)n(w)g(energy)g(neutrons,)i(taking)e (the)h(neutron-n)n(uclear)f(resonances)616 1106 y(in)n(to)k(accoun)n (t.)533 1281 y Ff(\017)41 b Fg(The)28 b(sim)n(ulation)f(shall)g(allo)n (w)f(for)h(the)h(use)g(of)f(ev)n(en)n(t)h(biasing.)533 1455 y Ff(\017)41 b Fg(The)21 b(hadronic)f(sho)n(w)n(er)f(sim)n (ulation)h(shall)h(pro)n(vide)f(the)h(means)g(to)f(customise)h(and)616 1555 y(tailor,)37 b(as)e(w)n(ell)h(as)f(extend)h(the)g(ph)n(ysics)f(mo) r(dels)h(used)g(to)f(sim)n(ulate)h(hadronic)616 1655 y(in)n(teractions.)450 1889 y Fk(2)95 b(Ov)m(erview)32 b(of)g(Ph)m(ysics)g(Mo)s(deling)e(T)-8 b(ec)m(hniques)450 2072 y Fg(There)34 b(are)g(three)g(basic)h(p)r(ossibilities)f(of)h(mo)r (deling)f(in)n(teractions)g(of)h(hadrons)e(with)450 2172 y(n)n(uclei.)i(W)-7 b(e)24 b(can)e(use)h(a)f(fully)i(data)e(based)g (description,)i(w)n(e)e(can)h(parametrise)e(existing)450 2272 y(data)31 b(and)h(use)f(the)h(parametrisations)d(and)j(n-b)r(o)r (dy)g(phase-space)e(distributions)h(for)450 2371 y(generating)24 b(the)i(\014nal)f(state)g(where)g(detailed)h(data)f(on)g(\014nal)g (states)g(are)f(not)i(a)n(v)-5 b(ailable)450 2471 y(with)25 b(su\016cien)n(t)f(co)n(v)n(erage,)e(and)i(w)n(e)g(can)g(describ)r(e)f (the)i(hadronic)e(\014nal)h(state)g(b)n(y)g(using)450 2570 y(theory)-7 b(,)27 b(or)g(theory)g(based)g(mo)r(dels.)600 2670 y(Note)f(that)g(the)h(transition)e(b)r(et)n(w)n(een)h(data)f(driv) n(en)h(and)f(parametrisation)f(driv)n(en)450 2770 y(mo)r(deling)34 b(is)g(not)g(rigid,)h(and)f(that)g(the)h(same)e(is)h(true)g(for)f (parametrisation)f(driv)n(en)450 2869 y(and)38 b(theory)f(driv)n(en)h (mo)r(dels.)68 b(Most)38 b(transp)r(ort)f(ev)-5 b(aluations)37 b(of)h(neutron)g(scatter-)450 2969 y(ing)29 b(data)g(for)g(example)f (include)i(cross-sections)d(that)i(are)g(based)f(on)h(calculations)g (or)450 3069 y(extrap)r(olation)h(of)i(measured)e(data,)i(while)g (string)f(mo)r(dels)g(will)h(use)f(largely)f(empiri-)450 3168 y(cal)d(parametrisations)e(of)i(parton)g(densit)n(y)g(functions)h (or)e(the)i(string)f(excitation,)g(and)450 3268 y(quan)n(tum)h (molecular)e(dynamics)h(will)h(use)g(tuned)g(v)-5 b(alues)27 b(for)h(the)g(n)n(uclear)e(resonance)450 3367 y(masses)h(and)g(width.) 450 3593 y Fe(2.1)86 b(Data)30 b(driven)h(mo)l(deling)450 3748 y Fg(When)i(exp)r(erimen)n(tal)e(or)h(ev)-5 b(aluated)32 b(data)f(are)h(a)n(v)-5 b(ailable)31 b(with)h(su\016cien)n(t)h(co)n(v)n (erage,)450 3847 y(the)28 b(data)f(driv)n(en)g(approac)n(h)f(is)h(the)h (optimal)g(w)n(a)n(y)e(of)h(mo)r(delling.)600 3947 y(Data)d(driv)n(en)g (mo)r(deling)g(is)g(used)h(in)g(the)f(con)n(text)g(of)h(neutron)f (transp)r(ort,)g(photon)450 4047 y(ev)-5 b(ap)r(oration,)40 b(absorption)d(at)h(rest,)j(calculation)c(of)h(inclusiv)n(e)g (cross-sections,)h(and)450 4146 y(isotop)r(e)27 b(pro)r(duction.)600 4246 y(Most)c(Mon)n(te)g(Carlo)f(programs)f(\(ex.:)34 b(GEANT3)2184 4216 y Fd(1)2245 4246 y Fg(or)22 b(MCNP)2597 4216 y Fd(4)2634 4246 y Fg(\))i(use)f(data)f(driv)n(en)450 4345 y(mo)r(deling)d(in)h(the)g(calculation)f(of)g(the)h(inclusiv)n(e)f (scattering)g(cross-sections)e(for)i(hadron)450 4445 y(n)n(uclear)35 b(scattering)h(as)g(far)f(as)h(data)g(allo)n(w)g(to)g (do)g(so.)63 b(Limitations)36 b(exist)g(at)h(high)p 450 4742 2846 4 v 450 4865 4 124 v 478 4824 a Fe(Pap)l(er:)j(submitte)l(d) 29 b(to)h Fk(W)-8 b(orld)31 b(Scien)m(ti\014c)f Fe(on)g(Septemb)l(er)g (1,)g(1999)521 b Fk(2)p 3293 4865 V 450 4868 2846 4 v eop %%Page: 3 3 3 2 bop 450 533 a Fg(incoming)34 b(paricle)g(energies,)i(for)e (particles)g(with)i(rather)d(short)h(life-times,)j(and)e(for)450 633 y(strange)k(bary)n(ons)g(as)g(w)n(ell)i(as)e(the)i Fc(K)1720 603 y Fd(0)1797 633 y Fg(system.)75 b(Theory)40 b(based)f(approac)n(hes)g(are)450 732 y(emplo)n(y)n(ed)24 b(to)g(extract)g(the)h(missing)f(cross-sections)f(from)h(the)h (measured)f(ones,)g(or,)h(at)450 832 y(high)i(energies)g(b)n(y)g(using) g(regge)f(theory)-7 b(,)27 b(to)h(predict)f(the)h(cross-sections.)600 932 y(The)37 b(main)f(use)h(of)f(the)h(data)f(driv)n(en)g(approac)n(h)f (is)h(in)h(sim)n(ulating)f(lo)n(w)g(energy)450 1031 y(neutron)44 b(n)n(uclear)f(scattering)g(\(ex.:)70 b(MICAP)1995 1001 y Fd(2)2032 1031 y Fg(,)49 b(MARS)2349 1001 y Fd(3)2386 1031 y Fg(,)g(Morse)2679 1001 y Fd(8)2715 1031 y Fg(,)f(gean)n(t4)3025 1001 y Fd(24)3094 1031 y Fg(,)h(or)450 1131 y(MCNP)705 1101 y Fd(4)742 1131 y Fg(\).)57 b(All)35 b(co)r(des)e(are)g(based)h (on)g(ev)-5 b(aluated)34 b(neutron)f(data)h(libraries,)g(suc)n(h)g(as) 450 1230 y(ENDF/B)787 1200 y Fd(5)824 1230 y Fg(,)i(JENDL)1160 1200 y Fd(6)1197 1230 y Fg(,)f(and)f(FENDL)1711 1200 y Fd(7)1749 1230 y Fg(.)56 b(The)34 b(results)f(are)g(v)n(ery)g(go)r(o) r(d)g(in)h(all)g(co)r(des)450 1330 y(that)28 b(conserv)n(e)e(energy)g (and)h(momen)n(tum)h(on)f(a)n(v)-5 b(arage.)35 b(The)27 b(approac)n(h)f(is)h(limited)i(to)450 1430 y(neutron)34 b(energies)f(up)h(to)g(around)f(20)g(MeV,)i(with)f(the)h(p)r(ossibilit) n(y)f(to)g(reac)n(h)e(up)j(to)450 1529 y(150)c(MeV)h(for)g(some)f (isotop)r(es.)50 b(T)-7 b(ec)n(hniques)31 b(to)h(conserv)n(e)f(energy)f (and)i(momen)n(tum)450 1629 y(ev)n(en)n(t)k(b)n(y)h(ev)n(en)n(t)g (exist)f(and)h(are)f(emplo)n(y)n(ed)g(in)h(some)g(co)r(des.)64 b(They)37 b(lead)g(in)g(\014nite)450 1729 y(sim)n(ulation)e(runs)h(to)f (a)h(bias)f(in)h(the)h(distributions)e(sampled,)j(though.)61 b(In)36 b(runs)g(of)450 1828 y(in\014nite)28 b(length,)g(the)g(v)-5 b(ariance)26 b(of)i(the)g(distributions)f(is)h(still)g(biased.)600 1928 y(The)37 b(data)f(driv)n(en)g(approac)n(h)f(is)h(also)g(used)h(to) f(sim)n(ulate)h(photon)f(ev)-5 b(ap)r(oration)450 2027 y(at)30 b(mo)r(derate)g(and)g(lo)n(w)g(excitation)g(energies.)43 b(The)31 b(co)r(des)f(using)g(this)g(approac)n(h)f(are)450 2127 y(based)k(on)g(the)g(ENSDF)1238 2097 y Fd(26)1342 2127 y Fg(data)g(and)g(similar)f(ev)-5 b(aluated)33 b(data)g(libraries) f(of)h(n)n(uclear)450 2227 y(lev)n(els,)28 b(and)h(transition)f(and)g (con)n(v)n(ersion)f(probabilities.)39 b(Examples)28 b(for)g(co)r(des)g (using)450 2326 y(this)36 b(approac)n(h)e(are)g(gean)n(t4)1371 2296 y Fd(24)1440 2326 y Fg(,)k(HERMES-KF)-9 b(A\(NDEM\))2382 2296 y Fd(25)2452 2326 y Fg(,)38 b(EV)-9 b(A)2685 2296 y Fd(10)2755 2326 y Fg(,)38 b(and)e(P)-7 b(A)n(CE-)450 2426 y(2)492 2396 y Fd(11)562 2426 y Fg(.)600 2526 y(Finally)g(,)28 b(data)f(driv)n(en)g(mo)r(deling)h(is)g(used)g(in)g(the)g(sim)n (ulation)f(of)h(the)g(absorption)450 2625 y(of)39 b(particles)e(coming) i(to)f(a)g(rest,)j(mainly)e(for)f Fc(\026)2062 2595 y Fb(\000)2118 2625 y Fg(,)k Fc(\031)2233 2595 y Fb(\000)2289 2625 y Fg(,)g Fc(K)2431 2595 y Fb(\000)2486 2625 y Fg(,)g(and)j(\026) -49 b Fc(p)p Fg(,)41 b(in)e(order)f(to)450 2725 y(describ)r(e)28 b(the)g(fast,)g(direct)f(part)h(of)g(the)g(sp)r(ectrum)g(of)g (secondaries)e(\(as)h(in)h(gean)n(t4)3115 2695 y Fd(24)3184 2725 y Fg(\),)450 2824 y(and)e(in)g(the)g(lo)n(w)f(energy)g(part)g(of)h (the)g(mo)r(deling)g(of)g(elastic)f(scattering)g(\014nal)h(states)f(in) 450 2924 y(scattering)h(o\013)h(Hydrogen.)35 b(In)27 b(all)g(other)f(cases,)g(the)h(data)f(co)n(v)n(erage)e(is)j(normally)f (not)450 3024 y(su\016cien)n(t,)i(and)f(parametrisation)f(driv)n(en)h (or)f(theory)h(driv)n(en)g(approac)n(hes)e(are)i(used.)450 3275 y Fe(2.2)86 b(Par)l(ametrisation)32 b(driven)e(mo)l(deling)450 3435 y Fg(P)n(arametrisations)17 b(and)j(extrap)r(olations)f(of)h (cross-sections)e(and)i(in)n(teractions)f(are)h(w)n(ell)450 3535 y(kno)n(wn)e(to)h(b)r(e)g(used)g(in)g(the)g(full)g(range)f(of)g (hadronic)g(sho)n(w)n(er)f(energies,)i(and)g(for)f(all)h(kinds)450 3635 y(of)26 b(reactions.)34 b(The)26 b(most)g(prominen)n(t)f(example)g (of)h(this)g(approac)n(h)d(is)j(the)g(GEISHA)3169 3605 y Fd(27)450 3734 y Fg(program,)h(but)i(also)e(the)i(scaling)e(mo)r(del) i(used)f(in)h(GCALOR)2445 3704 y Fd(28)2544 3734 y Fg(at)f(in)n (termediate)g(en-)450 3834 y(ergies)j(uses)h(extrap)r(olation)e(of)j (the)f(\014nal)g(state.)50 b(In)33 b(gean)n(t4,)f(t)n(w)n(o)f(mo)r (dels)h(based)g(on)450 3934 y(this)c(paradigm)e(are)h(a)n(v)-5 b(ailable)26 b(for)h(lo)n(w)g(and)g(high)h(particle)f(energies)f(resp)r (ectiv)n(ely)-7 b(.)450 4185 y Fe(2.3)86 b(The)l(ory)31 b(driven)g(mo)l(deling)450 4345 y Fg(Theory)39 b(driv)n(en)h(mo)r (deling)h(is)f(the)h(basic)f(approac)n(h)f(in)h(man)n(y)g(Mon)n(te)h (Carlo)e(pro-)450 4445 y(grams)669 4415 y Fd(29)738 4445 y Fg(.)64 b(It)37 b(includes)f(a)g(set)h(of)f(di\013eren)n(t)h (theoretical)f(approac)n(hes)e(to)i(describing)p 450 4742 2846 4 v 450 4865 4 124 v 478 4824 a Fe(Pap)l(er:)k(submitte)l(d) 29 b(to)h Fk(W)-8 b(orld)31 b(Scien)m(ti\014c)f Fe(on)g(Septemb)l(er)g (1,)g(1999)521 b Fk(3)p 3293 4865 V 450 4868 2846 4 v eop %%Page: 4 4 4 3 bop 450 533 a Fg(hadronic)38 b(in)n(teractions,)j(dep)r(ending)e (on)g(the)g(addressed)f(energy)g(range)g(and)h(CPU)450 633 y(constrain)n(ts.)600 732 y(F)-7 b(or)27 b(the)i(highest)e (energies,)g(the)h(most)g(promising)f(approac)n(h)f(is)h(the)i(parton)e (cas-)450 832 y(cade.)57 b(It)35 b(is)f(a)g(generalization)f(of)h(the)h (momen)n(tum-space)f(description)g(of)g(m)n(ultiple)450 932 y(semi-hard)k(collisions)g(in)h(QCD,)g(and)g(emplo)n(ys)g(cluster)f (hadronization)g(to)h(handle)450 1031 y(non-p)r(erturbativ)n(e)33 b(e\013ects.)59 b(The)35 b(curren)n(tly)e(only)i(a)n(v)-5 b(ailable)33 b(implemen)n(tation)i(is)f(in)450 1131 y(the)28 b(VNI)747 1101 y Fd(12)846 1131 y Fg(co)r(de.)600 1230 y(Most)i(theory)f(driv)n(en)g(hadronic)g(sho)n(w)n(er)g(Mon)n(te)g (Carlos)g(use)h(string)f(mo)r(dels)h(for)450 1330 y(the)36 b(sim)n(ulation)f(of)g(high)g(energy)g(\014nal)g(states)g(\()p Fc(E)2110 1342 y Fa(C)t(M)6 b(S)2316 1330 y Fc(>)35 b(O)r Fg(\(5)h Fc(GeV)19 b Fg(\)\).)61 b(Both)35 b(ap-)450 1430 y(proac)n(hes,)25 b(the)j(di\013ractiv)n(e)e(string)g(excitation)h (\(as)g(in)g(FRITJOF)2561 1400 y Fd(31)2631 1430 y Fg(,)g(or)f(in)i (one)e(of)h(the)450 1529 y(string)h(mo)r(dels)g(in)g(gean)n(t4\),)g (and)g(the)h(inelastic)f(string)f(excitation)h(\(the)h(dual)f(parton) 450 1629 y(mo)r(del)c(or)e(quark)g(gluon)h(string)g(mo)r(del,)i(as)d (in)i(VENUS)2221 1599 y Fd(13)2292 1629 y Fg(,)g(DPMJET)2695 1599 y Fd(30)2788 1629 y Fg(or)f(one)g(of)g(the)450 1729 y(string)33 b(mo)r(dels)h(in)h(gean)n(t4\))d(are)h(used.)57 b(String)33 b(deca)n(y)g(is)h(generally)f(mo)r(deled)h(using)450 1828 y(the)28 b(w)n(ell)f(established)h(fragmen)n(tation)e(functions) 2052 1798 y Fd(14)2122 1828 y Fg(.)600 1928 y(In)35 b(the)h(in)n (termediate)e(energy)g(regime)g(b)r(elo)n(w)h(5)g(GeV)g(cen)n(tre)f(of) h(mass)g(energy)-7 b(,)450 2027 y(in)n(tra-n)n(uclear)25 b(transp)r(ort)i(mo)r(dels)g(are)f(used.)37 b(They)27 b(fall)h(apart)e(in)i(t)n(w)n(o)e(kinds.)37 b(There)450 2127 y(are)g(the)h(cascade)f(t)n(yp)r(e)h(mo)r(dels)g(lik)n(e)f(HETC) 1951 2097 y Fd(15)2021 2127 y Fg(,)k(CEM)2278 2097 y Fd(16)2348 2127 y Fg(,)f(or)d(PICA)2732 2097 y Fd(9)2807 2127 y Fg(\(for)h(gamma)450 2227 y(in)n(teractions\),)26 b(and)f(the)i(quan)n(tum)f(molecular)f(dynamics)h(mo)r(dels,)g(suc)n(h) g(as)f(QMD)i(or)450 2326 y(rQMD)687 2296 y Fd(17)757 2326 y Fg(,)e(and)f(UrQMD)1262 2296 y Fd(18)1332 2326 y Fg(.)36 b(The)25 b(quan)n(tum)f(molecular)f(dynamics)h(mo)r(dels)g (calculate)450 2426 y(the)30 b(in)n(teraction)f(hamiltonian,)h(t)n (ypically)f(from)h(t)n(w)n(o-)f(and)g(three-b)r(o)r(dy)h(in)n (teractions)450 2526 y(of)d(all)f(particles)g(in)h(the)g(system,)g(and) g(then)g(solv)n(e)f(the)h(Newtonian)f(equations)g(of)h(mo-)450 2625 y(tion)d(with)h(this)g(time-dep)r(enden)n(t)g(hamiltonian.)36 b(Scattering)23 b(is)h(done,)h(using)f(smeered)450 2725 y(resonance)c(cross-sections,)h(taking)g(P)n(auli's)f(principle)i(in)n (to)g(accoun)n(t)f(b)n(y)g(in)n(v)n(estigating)450 2824 y(the)32 b(lo)r(cal)e(phase-space.)46 b(The)31 b(approac)n(h)f (promises)g(to)h(giv)n(e)f(all)h(correlations)e(in)i(the)450 2924 y(\014nal)23 b(state)g(correctly)-7 b(,)23 b(and)g(has)g(no)f (principle)i(limitations)f(in)g(its)h(applicabilit)n(y)e(at)h(lo)n(w) 450 3024 y(energies.)35 b(It)26 b(is)f(v)n(ery)g(CPU)g(exp)r(ensiv)n (e.)36 b(In)25 b(the)h(cascade)f(mo)r(dels,)h(a)f(mixed)h(approac)n(h) 450 3123 y(of)21 b(parametrisation)d(driv)n(en)j(and)f(theory)g(driv)n (en)g(mo)r(dels)h(is)g(commonly)f(applied.)35 b(The)450 3223 y(classical)25 b(cascade)h(mo)r(del)h(is)f(based)h(on)f(an)h(a)n (v)-5 b(agage)24 b(geometrical)h(description)h(of)h(the)450 3323 y(n)n(uclear)21 b(medium,)k(and)d(tak)n(es)f(e\013ects)i(as)f (pauli-blo)r(c)n(king,)g(coherence)g(length)g(and)g(for-)450 3422 y(mation)28 b(times)g(in)n(to)g(accoun)n(t)g(in)g(a)g(e\013ectiv)n (e)g(manner)g(only)-7 b(.)38 b(The)29 b(scattering)e(is)h(done)450 3522 y(in)c(analogy)e(to)h(the)h(QMD)g(t)n(yp)r(e)f(of)h(in)n(tran)n (uclear)e(transp)r(ort.)34 b(The)24 b(principle)f(assump-)450 3621 y(tion)33 b(in)g(the)g(cascade)e(is)h(incoherence)g(of)g(transp)r (ort)g(and)g(scattering.)51 b(The)33 b(cascade)450 3721 y(assumptions)24 b(break)f(do)n(wn)h(b)r(elo)n(w)g(O\(100)f(MeV\))i (incoming)f(particle)g(kinetic)h(energy)-7 b(.)600 3821 y(A)n(t)36 b(energies)f(b)r(elo)n(w)h(O\(100)e(MeV\))j(man)n(y)e (programs)f(\(as)i(HETC,)g(the)g(Dubna)450 3920 y(co)r(de,)22 b(or)e(one)g(mo)r(del)h(in)g(gean)n(t4\))e(start)h(to)h(use)f(exciton)h (based)f(pre-comp)r(ound)g(mo)r(dels)450 4020 y(to)j(describ)r(e)f(the) i(energy)e(and)g(angular)g(distributions)h(of)g(the)g(fast)g(particles) f(correctly)-7 b(,)450 4120 y(and)27 b(to)h(soften)g(the)f(otherwise)g (to)r(o)g(steep)h(b)r(eha)n(viour)e(of)i(the)g(quasi-elastic)e(p)r (eaks.)600 4219 y(The)20 b(last)g(phase)g(of)h(a)e(n)n(uclear)h(in)n (teraction)f(is)h(the)h(n)n(uclear)e(ev)-5 b(ap)r(oration.)33 b(In)21 b(order)450 4319 y(to)28 b(mo)r(del)g(the)g(b)r(eha)n(viour)e (of)i(excited,)g(termalized)f(n)n(uclei,)h(v)-5 b(arian)n(ts)26 b(of)i(the)g(classical)450 4418 y(W)-7 b(eissk)n(opf-Ewing)21 b(mo)r(del)1305 4388 y Fd(32)1398 4418 y Fg(are)h(used.)35 b(Sp)r(ezialised)22 b(impro)n(v)n(emen)n(ts)g(suc)n(h)g(as)g(F)-7 b(ermi's)p 450 4742 2846 4 v 450 4865 4 124 v 478 4824 a Fe(Pap)l(er:)40 b(submitte)l(d)29 b(to)h Fk(W)-8 b(orld)31 b(Scien)m(ti\014c)f Fe(on)g(Septemb)l(er)g(1,)g(1999)521 b Fk(4)p 3293 4865 V 450 4868 2846 4 v eop %%Page: 5 5 5 4 bop 450 533 a Fg(break-up)36 b(mo)r(del)1027 503 y Fd(33)1136 533 y Fg(for)h(ligh)n(t)g(n)n(uclei,)j(and)e(m)n (ulti-fragmen)n(tation)2647 503 y Fd(34)2753 533 y Fg(for)f(v)n(ery)g (high)450 633 y(excitation)24 b(energies)f(are)h(emplo)n(y)n(ed.)35 b(Fission)1931 603 y Fd(35)2001 633 y Fg(,)25 b(and)f(photon)h(ev)-5 b(ap)r(oration)2912 603 y Fd(36)3005 633 y Fg(can)24 b(b)r(e)450 732 y(treated)j(as)g(comp)r(etitiv)n(e)g(c)n(hannels)g(in)g (the)h(ev)-5 b(ap)r(oration)26 b(mo)r(del,)i(as)e(done)h(in)h(gean)n (t4.)450 972 y Fk(3)95 b(Confron)m(tation)32 b(with)g(LHC)g(Requiremen) m(ts)450 1157 y Fg(The)23 b(use)g(of)g(Ob)5 b(ject)23 b(Orien)n(ted)f(tec)n(hnology)g(and)h(a)g(systematic)f(approac)n(h)f (to)i(soft)n(w)n(are)450 1257 y(engineering)31 b(is)h(the)h(only)f (strategy)f(that)h(is)g(kno)n(wn)g(to)g(easily)g(allo)n(w)f(to)h (design)g(and)450 1357 y(implemen)n(t)f(the)f(required)f(lev)n(el)h(of) g(\015exibilit)n(y)-7 b(,)30 b(customizabilit)n(y)-7 b(,)31 b(extendibilit)n(y)-7 b(,)31 b(and)450 1456 y(transparency)26 b(in)i(a)f(hadronic)f(sho)n(w)n(er)g(sim)n(ulation)h(program.)600 1556 y(The)c(gean)n(t4)f(to)r(ol-kit)1295 1526 y Fd(24)1388 1556 y Fg(is)g(follo)n(wing)g(this)i(approac)n(h.)33 b(It)23 b(has)g(b)r(een)g(and)g(will)g(con-)450 1655 y(tin)n(ue)h(to)g(b)r(e)h(planned,)g(designed,)g(and)f(engineered,)g (in)g(order)f(to)h(matc)n(h)g(the)g(exacting)450 1755 y(needs)31 b(of)g(the)h(LHC)f(exp)r(erimen)n(ts)g(with)h(resp)r(ect)f (to)g(hadronic)f(sc)n(ho)n(w)n(er)f(sim)n(ulation.)450 1855 y(The)40 b(strategy)e(used)i(to)g(ac)n(hiev)n(e)e(this)i(includes) g(a)g(smo)r(oth)f(migration)g(path)h(from)450 1954 y(GEANT3)29 b(ph)n(ysics)g(to)g(gean)n(t4)f(ph)n(ysics)h(for)g(exp)r(erimen)n(ts)g (that)h(are)e(curren)n(tly)h(using)450 2054 y(GEANT3,)e(and)f(w)n(an)n (t)g(to)g(c)n(hange)g(tec)n(hnology)-7 b(.)35 b(The)26 b(re-engineering)f(of)h(at)h(least)f(one)450 2154 y(of)35 b(the)h(hadronic)e(sho)n(w)n(er)f(Mon)n(te)i(Carlos)e(a)n(v)-5 b(ailable)34 b(with)i(GEANT3)f(and)g(its)g(v)-5 b(ali-)450 2253 y(dation)33 b(with)h(resp)r(ect)f(to)g(GEANT3)g(sim)n(ulation)f(w) n(as)g(a)h(basic)g(requiremen)n(t)f(to)h(the)450 2353 y(pro)5 b(ject.)600 2452 y(The)41 b(re-use)e(of)i(the)g(exp)r(erience)f (and)g(kno)n(wledge)g(in)g(GEISHA)h(on)g(mo)r(deling)450 2552 y(hadronic)21 b(sc)n(ho)n(w)n(ers)f(pro)n(vides)h(the)h(p)r (ossibilit)n(y)g(to)g(use)g(a)g(co)r(de)g(that)g(is)g(w)n(ell)g(kno)n (wn.)34 b(In)450 2652 y(addition,)22 b(it)f(is)f(the)h(co)r(de)f(on)g (the)h(F)n(OR)-7 b(TRAN)21 b(v)n(ersion)e(of)h(whic)n(h)h(a)f(v)n(ery)f (large)g(p)r(ortion)450 2751 y(of)34 b(the)g(HEP)f(comm)n(unit)n(y)h (relies)f(for)g(publication)h(of)g(ph)n(ysics)f(results)g(to)r(da)n(y) -7 b(.)55 b(Tw)n(o)450 2851 y(parametrisation)19 b(driv)n(en)h(mo)r (dels)g(result)h(from)f(this)h(re-engineering)e(of)i(GEISHA;)g(one)450 2951 y(for)27 b(energies)g(b)r(elo)n(w)g(20)g(GeV,)h(and)f(a)g(second)g (mo)r(del)h(for)f(high)h(energies.)36 b(They)27 b(b)r(oth)450 3050 y(are)32 b(w)n(ell)h(tunable,)i(and)e(can)g(ful\014l)h(the)f (corresp)r(onding)f(functional)h(requiremen)n(t)f(in)450 3150 y(the)c(test)g(b)r(eam)g(energy)e(regime.)600 3250 y(Gean)n(t4)34 b(has)g(maximised)h(the)g(extendibilit)n(y)g(of)g(the)g (system)g(b)n(y)f(using)h(Ob)5 b(ject)450 3349 y(Orien)n(ted)33 b(analysis)e(and)j(design.)53 b(The)33 b(concept)g(of)h(abstract)e(in)n (terface)h(-)g(it)g(can)g(b)r(e)450 3449 y(view)n(ed)25 b(as)f(a)h(strongly)f(sup)r(erior)g(v)n(ersion)g(of)h(the)h(concept)f (of)g('user)f(ho)r(oks')h(in)g(Gean)n(t3)450 3548 y(-)35 b(is)g(used)h(to)f(ac)n(hiev)n(e)f(this.)61 b(It)35 b(allo)n(ws)f(for)h (the)h(transparen)n(t)e(use)h(of)g(di\013eren)n(t)h(and)450 3648 y(sp)r(ecialised)26 b(mo)r(dels)g(according)e(to)j(their)f(regime) f(of)h(applicabilit)n(y)g(in)h(a)e(v)n(ery)h(elegan)n(t)450 3748 y(manner.)41 b(It)29 b(is)g(also)f(used)h(to)g(allo)n(w)f(the)h (user)f(to)h(customise)g(the)g(cross-sections)e(and)450 3847 y(data-sets)20 b(in)h(exp)r(erimen)n(t)g(sp)r(eci\014c)g(classes)f (external)g(to)h(gean)n(t4.)33 b(These)21 b(design)f(issues)450 3947 y(together)f(address)g(the)i(requiremen)n(t)f(on)g(\015exibilit)n (y)g(and)g(extendibilit)n(y)h(of)f(the)h(system.)600 4047 y(The)38 b(in)n(terface)f(for)g(\014nal)g(state)h(mo)r(dels)f(is)h (b)r(eing)f(used)h(to)f(extend)h(the)g(set)g(of)450 4146 y(mo)r(dels)f(co-w)n(orking)d(with)j(gean)n(t4)e(b)n(y)h(a)h(set)f(of)h (theory)f(driv)n(en)g(mo)r(dels)2870 4116 y Fd(40)2940 4146 y Fg(.)64 b(These)450 4246 y(theory)31 b(based)h(hadronic)e(sho)n (w)n(er)h(mo)r(dels)g(address)g(the)h(requiremen)n(t)f(of)h(extrap)r (ola-)450 4345 y(bilit)n(y)25 b(of)g(results)f(at)h(energies)f(not)g (accessible)g(for)h(test-b)r(eam)f(data,)h(and)g(at)g(the)g(same)450 4445 y(time)31 b(pro)n(vide)e(an)h(alternativ)n(e)f(set)h(of)g(mo)r (dels)g(at)g(con)n(v)n(en)n(tional)e(energies.)44 b(The)30 b(Ob-)p 450 4742 2846 4 v 450 4865 4 124 v 478 4824 a Fe(Pap)l(er:)40 b(submitte)l(d)29 b(to)h Fk(W)-8 b(orld)31 b(Scien)m(ti\014c)f Fe(on)g(Septemb)l(er)g(1,)g(1999)521 b Fk(5)p 3293 4865 V 450 4868 2846 4 v eop %%Page: 6 6 6 5 bop 450 533 a Fg(ject)37 b(Orien)n(ted)e(design)h(of)g(theory)f (driv)n(en)h(hadronic)f(sho)n(w)n(er)f(mo)r(dels)i(pro)n(vides)f(the) 450 633 y(in)n(terfaces)30 b(for)g(a)g(v)n(ery)f(comprehensiv)n(e)h (set)g(of)h(mo)r(deling)f(p)r(ossibilities.)46 b(It)31 b(pro)n(vides)450 732 y(a)c(framew)n(ork)e(\(see)i(\014gure)g(1\))g (for)f(theory)h(driv)n(en)f(hadronic)h(sho)n(w)n(er)e(sim)n(ulation,)i (and)450 832 y(sev)n(eral)32 b(theoretical)g(mo)r(dels)h(for)g(the)h(v) -5 b(arious)32 b(areas)f(relev)-5 b(an)n(t)33 b(to)g(hadronic)f(sho)n (w)n(er)450 932 y(sim)n(ulation)25 b(are)g(a)n(v)-5 b(ailable,)24 b(in)i(the)g(pro)r(cess)f(of)g(b)r(eing)h(implemen)n(ted)g(or)f(b)r (eing)g(tested.)450 1031 y(Pre-comp)r(ound)c(and)i(ev)-5 b(ap)r(oration)21 b(mo)r(dels)h(ha)n(v)n(e)g(b)r(een)h(built)g(for)f (usage)g(at)g(lo)n(w)g(parti-)450 1131 y(cle)h(energies)f(and)h(string) g(mo)r(dels)g(and)g(a)g(kinetic)h(mo)r(del)f(ha)n(v)n(e)f(b)r(een)i (implemen)n(ted)g(for)450 1230 y(use)30 b(at)g(in)n(termediate)f(and)h (high)g(energies.)42 b(The)30 b(p)r(ossibilit)n(y)g(of)g(in)n (terfacing)f(Pythia-)450 1330 y(7)492 1300 y Fd(37)562 1330 y Fg(,)34 b(the)f(Ob)5 b(ject)32 b(Orien)n(ted)g(v)n(ersion)f(of)h (the)h(Pythia)2173 1300 y Fd(38)2275 1330 y Fg(ev)n(en)n(t)f (generator,)g(are)f(tak)n(en)450 1430 y(in)n(to)37 b(accoun)n(t)f(in)i (the)g(design)e(at)h(sev)n(eral)f(stages,)i(and)g(the)f(p)r(ossibilit)n (y)g(to)g(include)450 1529 y(QMD)e(and)g(parton)f(cascade)g(mo)r(dels)g (in)i(the)f(future)g(is)g(forseen.)58 b(The)35 b(design)g(also)450 1629 y(pro)n(vides)26 b(the)i(means)f(for)g(p)r(olymorphic)f(extension) h(and)h(customisation)e(of)i(the)f(indi-)450 1729 y(vidual)g(parts)g (of)h(the)g(mo)r(dels)f(b)n(y)h(in)n(terested)f(exp)r(erts)g(in)h(the)g (v)-5 b(arious)26 b(\014elds.)600 1828 y(The)g(lo)n(w)f(energy)g (neutron)g(transp)r(ort)g(w)n(as)g(implemen)n(ted)h(in)g(the)h (classical)d(man-)450 1928 y(ner,)35 b(using)e(ev)-5 b(aluated)33 b(data)g(as)g(the)g(basis)g(of)g(sim)n(ulation.)54 b(The)34 b(e\013ort)f(targets)f(the)450 2027 y(requiremen)n(ts)e (related)h(to)g(neutron)h(in)n(teractions)e(for)h(radiation)f(transp)r (ort)g(in)i(large)450 2127 y(detectors.)60 b(It)36 b(again)f(is)g(a)g (clien)n(t)h(of)g(the)g(gean)n(t4)e(mo)r(del)i(design)f(and)g(can)h(th) n(us)f(b)r(e)450 2227 y(in)n(ter-op)r(erated)26 b(with)i(an)n(y)f(of)h (the)g(other)f(hadronic)g(sho)n(w)n(er)f(sim)n(ulation)h(comp)r(onen)n (ts)450 2326 y(complying)h(with)i(this)f(proto)r(col.)40 b(Mo)r(dels)29 b(for)f(elastic)h(and)g(inelastic)f(scattering)g(\(in-) 450 2426 y(cluding)20 b(absorption\),)g(\014ssion,)h(and)f(radiativ)n (e)e(capture)i(are)f(a)n(v)-5 b(ailable.)33 b(The)20 b(mo)r(deling)450 2526 y(is)h(based)f(on)g(co)r(des)g(that)h(sample)g (the)g(ENDF-B)f(VI)2091 2495 y Fd(39)2183 2526 y Fg(data)g(formats,)h (and)g(the)g(\014le)g(sys-)450 2625 y(tem)f(is)g(used)g(to)g(allo)n(w)f (transparen)n(t)f(and)i(gran)n(ular)e(access)g(to)i(the)h (cross-sections)c(data.)450 2725 y(The)j(data)f(used)h(are)e(deriv)n (ed)h(ev)-5 b(aluations)19 b(based)g(on)g(the)i(follo)n(wing)d(ev)-5 b(aluated)20 b(data)f(li-)450 2824 y(braries)k(\(in)i(alphab)r(etic)f (order\):)35 b(Brond-2.1)1888 2794 y Fd(21)1956 2824 y Fg(,)25 b(CENDL2.2)2405 2794 y Fd(22)2474 2824 y Fg(,)h(EFF-3)2758 2794 y Fd(19)2827 2824 y Fg(,)f(ENDF/B-)450 2924 y(VI.0,)j (ENDF/B-VI.1,)g(ENDF/B-VI.5)1753 2894 y Fd(5)1790 2924 y Fg(,)g(FENDL/E2.0)2335 2894 y Fd(7)2371 2924 y Fg(,)g(JEF2.2)2683 2894 y Fd(20)2752 2924 y Fg(,)h(JENDL-FF,)450 3024 y(JENDL-3.1,)20 b(JENDL-3.2)1317 2994 y Fd(6)1353 3024 y Fg(,)i(and)e(MENDL-2)1932 2994 y Fd(23)2002 3024 y Fg(.)35 b(Large)18 b(parts)i(of)g(the)h (selections)f(w)n(ere)450 3123 y(guided)28 b(b)n(y)f(the)h(FENDL2.0)f (selection.)600 3223 y(The)k(implemen)n(tation)h(of)f(the)h(samping)f (of)g(the)h(ENDF-B)f(VI)h(data)f(formats)f(in)450 3323 y(gean)n(t4)21 b(is)i(completely)f(general,)g(and)h(can)f(b)r(e)h(used) f(to)h(run)f(against)f(an)n(y)h(prepro)r(cessed)450 3422 y(ev)-5 b(aluated)23 b(data)g(library)f(that)h(conforms)g(with)g(the)h (ENDF-B)f(VI)h(data)f(formats.)35 b(The)450 3522 y(data)19 b(are)f(supplemen)n(ted)h(with)h(data)f(on)g(the)g(n)n(uclear)f (excitation)h(lev)n(els)g(that)g(originate)450 3621 y(from)27 b(the)h(ENSDF)g(ev)-5 b(aluated)28 b(data)f(library)-7 b(.)600 3721 y(In)27 b(order)e(to)i(completely)f(address)g(the)h (requiremen)n(t)f(on)g(radiation)g(transp)r(ort)f(in)450 3821 y(the)36 b(large)f(particle)h(ph)n(ysics)f(detectors)g(at)h(LHC,)h (the)f(p)r(ossibilit)n(y)g(to)g(use)g(v)-5 b(ariance)450 3920 y(reduction)27 b(tec)n(hniques)h(has)f(b)r(een)h(built)g(in)n(to)f (the)h(gean)n(t4)f(k)n(ernel.)450 4160 y Fk(4)95 b(Conclusions)450 4345 y Fg(In)35 b(view)g(of)h(the)f(LHC)h(requiremen)n(ts,)g(it)f(has)g (b)r(ecome)g(eviden)n(t)g(that)h(all)f(mo)r(deling)450 4445 y(tec)n(hniques)26 b(-)g(data)g(driv)n(en,)f(parametrisation)g (driv)n(en,)g(and)i(theory)e(driv)n(en)g(-)h(need)h(to)p 450 4742 2846 4 v 450 4865 4 124 v 478 4824 a Fe(Pap)l(er:)40 b(submitte)l(d)29 b(to)h Fk(W)-8 b(orld)31 b(Scien)m(ti\014c)f Fe(on)g(Septemb)l(er)g(1,)g(1999)521 b Fk(6)p 3293 4865 V 450 4868 2846 4 v eop %%Page: 7 7 7 6 bop 450 533 a Fg(b)r(e)32 b(used)g(to)g(satisfy)f(LHC)h(needs)g(in) g(an)f(optimal)h(manner.)49 b(Data)32 b(driv)n(en)f(mo)r(deling)450 633 y(is)37 b(kno)n(wn)f(to)g(pro)n(vide)g(the)h(b)r(est,)j(if)d(not)g (only)-7 b(,)39 b(approac)n(h)c(to)h(lo)n(w)g(energy)g(neutron)450 732 y(transp)r(ort)k(for)h(radiation)g(studies)g(in)h(large)e (detectors.)78 b(P)n(arametrisation)38 b(driv)n(en)450 832 y(mo)r(deling)27 b(has)g(pro)n(v)n(en)f(to)i(allo)n(w)e(for)h (tuning)h(of)g(the)f(hadronic)g(sho)n(w)n(er)f(Mon)n(te)h(Carlo)450 932 y(for)g(particle)h(energies)f(accessible)g(to)g(test-b)r(eam)h (studies.)39 b(Theory)26 b(driv)n(en)i(mo)r(deling)450 1031 y(is)36 b(the)g(approac)n(h)e(that)j(promises)e(safe)g(extrap)r (olation)g(of)h(results)f(to)n(w)n(ard)g(energies)450 1131 y(b)r(ey)n(ond)k(the)h(test-b)r(eam)g(region,)h(and)f(b)n(y)f(its) h(nature)f(allo)n(ws)f(for)h(a)g(maxim)n(um)h(of)450 1230 y(extendibilit)n(y)28 b(and)f(customizabilit)n(y)g(of)h(the)g (underlying)f(ph)n(ysics.)600 1330 y(The)i(use)f(of)g(state)h(of)f(the) h(art)f(soft)n(w)n(are)e(tec)n(hnology)h(is)i(the)g(k)n(ey)e(that)i (allo)n(ws)e(for)450 1430 y(distributed)j(dev)n(elopmen)n(t)f(of)g(the) h(ph)n(ysics)f(base)g(of)g(a)g(hadronic)f(sho)n(w)n(er)g(sim)n(ulation) 450 1529 y(to)r(ol-kit.)55 b(It)34 b(allo)n(ws)f(the)h(w)n(ork)e(of)i (the)g(exp)r(erts)g(in)g(the)g(\014eld)g(to)g(b)r(e)g(com)n(bined)g(in) g(a)450 1629 y(coheren)n(t)19 b(manner,)i(and)f(o\013ers)f(the)i(user)e (the)h(p)r(ossibilit)n(y)g(to)g(unify)h(their)f(kno)n(wledge)e(in)450 1729 y(a)g(single)h(executable)f(program)f(in)i(exactly)f(the)h (con\014guration)e(that)i(he)g(deems)g(optimal)450 1828 y(for)37 b(his)g(particular)f(problem.)66 b(This)38 b(is)f(a)g (completely)g(new)h(situation.)66 b(In)38 b(a)f(v)n(ery)450 1928 y(short)32 b(time)i(it)g(has)e(lead)h(to)g(unexp)r(ectedly)h(wide) f(range)f(of)h(mo)r(delling)g(p)r(ossibilities)450 2027 y(in)k(gean)n(t4,)h(and)f(an)f(unpreceden)n(ted)h(lev)n(el)f(in)h(the)g (\015exibilit)n(y)g(of)g(usage)f(of)h(mo)r(dels)450 2127 y(and)k(cross-sections.)74 b(In)41 b(addition,)j(the)d(use)g(of)g(Ob)5 b(ject)41 b(tec)n(hnology)e(is)i(the)g(only)450 2227 y(approac)n(h)c(that)i(has)f(sho)n(wn)g(to)g(allo)n(w)g(for)g (concurren)n(t)f(use)i(of)f(all)h(three)f(t)n(yp)r(es)h(of)450 2326 y(ph)n(ysics)c(mo)r(deling)h(of)g(hadronic)f(sho)n(w)n(ers)f(in)j (a)e(single)h(application,)i(and)e(the)g(only)450 2426 y(approac)n(h)30 b(that)j(has)e(sho)n(wn)h(to)g(b)r(e)h(able)e(to)i (satisfy)e(the)i(LHC)f(needs)g(on)g(\015exibilit)n(y)-7 b(,)450 2526 y(extendibilit)n(y)g(,)23 b(and)d(customizabilit)n(y)h(of) f(the)i(ph)n(ysics)e(base)g(of)h(the)g(sho)n(w)n(er)e(sim)n(ulation.) 450 2625 y(Giv)n(en)33 b(the)h(time-scale)f(of)h(the)g(LHC)f(exp)r (erimen)n(t,)i(the)f(amoun)n(t)f(of)h(progress)d(made)450 2725 y(o)n(v)n(er)23 b(the)j(last)f(three)g(y)n(ears)e(in)i(the)h(gean) n(t4)d(hadronic)i(sub-system,)g(and)g(the)g(fact)g(that)450 2824 y(the)f(use)g(of)f(Ob)5 b(ject)24 b(Orien)n(ted)e(tec)n(hnology)h (allo)n(ws)f(for)h(the)h(use)f(of)h(arbitrary)e(hadronic)450 2924 y(sho)n(w)n(er)31 b(mo)r(dels)h(that)h(use)g(the)g(same)f(tec)n (hnology)f(and)h(in)n(terface,)h(there)g(can)f(b)r(e)h(no)450 3024 y(doubt)28 b(that)g(the)g(requiremen)n(ts)e(of)i(LHC)f(will)h(b)r (e)g(met.)450 3264 y Fk(References)510 3449 y Fg(1.)41 b(R.)34 b(Brun,)h(F.)f(Bruy)n(an)n(t,)f(A.C.)h(McPherson,)g(P)-7 b(.)33 b(Zanarini,)h(CERN)g(Data)f(Han-)616 3548 y(dling)28 b(Division,)f(DD/EE/84{1,)e(1987)510 3648 y(2.)41 b(C.)27 b(Zeitnitz,)h(T.)g(A.)f(Gabriel,)g(The)g(GEANT-CALOR)g(In)n(terface)g (Users)f(Guide,)616 3748 y(ORNL,)i(1996)510 3847 y(3.)41 b(I.)c(Azhgirey)f(at)g(al,)j(Dev)n(elopmen)n(t)d(of)h(MARS)g(Co)r(de)g (P)n(ac)n(k)-5 b(age)34 b(for)i(Radiation)616 3947 y(Problems)30 b(Solution)i(of)f(Electro-Nuclear)f(Installations)g(design,)j(Pro)r(c.) 47 b(of)32 b(XV)616 4047 y(Conference)27 b(on)g(Charged)g(P)n(articles) e(Accelerators,)h(Protvino)g(\(1996\))510 4146 y(4.)41 b(MCNP:)21 b(A)g(General)e(Mon)n(te)i(Carlo)e(Co)r(de)h(for)g(Neutron)h (and)f(Photon)g(T)-7 b(ransp)r(ort:)616 4246 y(V)g(ersion)27 b(3A,)g(Judith)h(F.)g(Briesmeister)f(\(Los)g(Alamos\).)36 b(LA-7396-M,1986.)510 4345 y(5.)41 b(ENDF/B-VI:)j(Cross)f(Section)h(Ev) -5 b(aluation)43 b(W)-7 b(orking)43 b(Group,)48 b Fe(ENDF/B-VI)616 4445 y(Summary)33 b(Do)l(cument)p Fg(,)f(Rep)r(ort)f Fk(BNL-NCS-17541)k(\(ENDF-201\))c Fg(\(1991\),)p 450 4742 2846 4 v 450 4865 4 124 v 478 4824 a Fe(Pap)l(er:)40 b(submitte)l(d)29 b(to)h Fk(W)-8 b(orld)31 b(Scien)m(ti\014c)f Fe(on)g(Septemb)l(er)g(1,)g(1999)521 b Fk(7)p 3293 4865 V 450 4868 2846 4 v eop %%Page: 8 8 8 7 bop 616 533 a Fg(edited)27 b(b)n(y)f(P)-7 b(.F.)26 b(Rose,)h(National)e(Nuclear)h(Data)g(Cen)n(ter,)h(Bro)r(okha)n(v)n(e)c (National)616 633 y(Lab)r(oratory)-7 b(,)25 b(Upton,)j(NY,)h(USA.)510 732 y(6.)41 b(JENDL-3:)57 b(T.)38 b(Nak)-5 b(aga)n(w)n(a,)38 b(et)g(al.,)i Fe(Jap)l(anese)g(Evaluate)l(d)h(Nucle)l(ar)e(Data)g(Li-) 616 832 y(br)l(ary,)30 b(V)-6 b(ersion)29 b(3,)i(R)l(evision)e(2,)h Fk(J.)h(Nucl.)42 b(Sci.)f(T)-8 b(ec)m(hnol.)42 b(32)p Fg(,)27 b(1259)e(\(1995\).)510 932 y(7.)41 b("FENDL/MC-2.0,)56 b(The)c(pro)r(cessed)f(cross-section)e(libraries)i(for)g(neutron-)616 1031 y(photon)35 b(transp)r(ort)g(calculations,)i(v)n(ersion)d(1)h(of)h (F)-7 b(ebruary)34 b(1998".)59 b(Summary)616 1131 y(do)r(cumen)n (tation)29 b(H.)g(Wienk)n(e)g(and)g(M.)g(Herman,)g(rep)r(ort)f (IAEA-NDS-176)g(Rev.)616 1230 y(0)f(\(In)n(ternational)g(A)n(tomic)g (Energy)f(Agency)-7 b(,)28 b(April)g(1998\).)510 1330 y(8.)41 b(The)32 b(MORSE)g(Mon)n(teCarlo)e(Radiation)i(T)-7 b(ransp)r(ort)30 b(Co)r(de)i(System.)51 b(By)32 b(M.B.)616 1430 y(Emmett)c(\(Oak)f(Ridge\).)37 b(ORNL-4972,)25 b(F)-7 b(eb)28 b(1975.)510 1529 y(9.)41 b(T.A.)f(Gabriel)g(and)f(R.G.)i (Alsmiller,)i(Jr.:)60 b(Photon)n(uclear)38 b(Disin)n(tegration)h(at)616 1629 y(High)28 b(\()p Fc(<)p Fg(350)e(MeV\))i(Energies)e(\(Thesis\))i (ORNL-TM-2481)d(\(F)-7 b(ebruary)26 b(1969\).)510 1729 y(10.)41 b(EV)-9 b(A:)27 b(I.)h(Dosto)n(vsky)e(et)i(al:)36 b(Ph)n(ys.)g(Rev.)h(116,)26 b(683)g(\(1959\))510 1828 y(11.)41 b(P)-7 b(A)n(CE:)26 b(A.)i(Ga)n(vron:)36 b(Ph)n(ys.)f(Rev.)i (C21,)27 b(230)f(\(1980\))510 1928 y(12.)41 b(VNI)19 b(3.1,)h(Klaus)f(Geiger)f(\(Bro)r(okha)n(v)n(en\),)h(BNL-63762,)f (Comput.)34 b(Ph)n(ys.)f(Com-)616 2027 y(m)n(un.)k(104,)26 b(70-160)f(\(1997\))510 2127 y(13.)41 b(The)54 b(uniform)g(description) f(of)h(high)g(energy)f(hadron)g(pro)r(duction)h(mec)n(h-)616 2227 y(anisms)h(in)h(the)g(new)g(VENUS)h(mo)r(del,)63 b(H.J.)55 b(Dresc)n(her,)62 b(M.)56 b(Hladik,)63 b(K.)616 2326 y(W)-7 b(erner)56 b(\(Nan)n(tes)h(U.,)64 b(LPST)-7 b(A\),)57 b(S.)g(Ostap)r(c)n(henk)n(o)e(\(Mosco)n(w)g(State)i(U.\),)616 2426 y(Nucl.Ph)n(ys.Pro)r(c.Suppl.75A,)26 b(275-277)e(\(1999\))510 2526 y(14.)41 b(Andersson)23 b(B.,)h(Gustafson)g(G.,)h(Ingelman)e(G.,)i (Sj\177)-42 b(ostrand)24 b(T.,)h(Ph)n(ys.)34 b(Rep.)i Fk(97)616 2625 y Fg(31)27 b(\(1983\),)f(or)h(Kaidalo)n(v)e(A.)j(B.,)g (So)n(v.)36 b(J.)27 b(Nucl.)38 b(Ph)n(ys.)e Fk(45)27 b Fg(1452)e(\(1987\).)510 2725 y(15.)41 b(The)j(high)f(energy)g(transp) r(ort)g(co)r(de)h(HETC,)g(T.A.)g(Gabriel)f(\(Oak)g(Ridge\),)616 2824 y(ORNL/TM-9727,)c(Pro)r(c.)70 b(of)38 b(LEP)g(Exp)r(erimen)n (ters')g(W)-7 b(orkshop)37 b(on)i(Sho)n(w)n(er)616 2924 y(Sim)n(ulation,)28 b(Genev)-5 b(a,)27 b(Switzerland,)g(\(1985\))510 3024 y(16.)41 b(Cascade-exciton)e(mo)r(del)j(of)g(n)n(uclear)e (reactions,)k(By)d(K.K.)g(Gudima,)46 b(V.D.)616 3123 y(T)-7 b(oneev)35 b(\(Dubna,)k(JINR\).)d(JINR-E4-9489,)e(5th)i(In)n(t.) 62 b(Symp)r(osium)36 b(on)f(In)n(ter-)616 3223 y(actions)27 b(of)g(F)-7 b(ast)28 b(Neutrons)f(with)h(Nuclei,)g(Gaussig,)f(East)g (German)n(y)f(\(1975\))510 3323 y(17.)41 b(VUU)19 b(and)g(\(R\)QMD)g (mo)r(del)g(of)g(high-energy)e(hea)n(vy)g(ion)i(collisions.)33 b(H.)19 b(Sto)r(c)n(k)n(er)616 3422 y(et)28 b(al.,)f(Nucl.Ph)n (ys.A538,)f(53c-64c)f(\(1992\))510 3522 y(18.)41 b(UR)n(QMD:)f(A)h(new) g(molecular)e(dynamics)h(mo)r(del)h(from)f(GANIL)h(to)g(CERN)616 3621 y(energies.)35 b(By)27 b(S.A.)g(Bass)f(et)h(al.,)f(Wilderness)h (1996,)e(Structure)h(of)h(v)-5 b(acuum)27 b(and)616 3721 y(elemen)n(tary)g(matter,)g(399-405.)510 3821 y(19.)41 b(H.D.)28 b(Lemme,)g(EFF-2.4,)e(The)i(Europ)r(ean)e(F)-7 b(usion)28 b(File)g(1994,)e(including)i(revi-)616 3920 y(sions)e(up)g(to)g(Ma)n(y)g(1995,)e(Summary)i(Do)r(cumen)n(tation,)h (IAEA-NDS-170)e(\(1995\))510 4020 y(20.)41 b(C.)d(Nordb)r(org,)h(M.)f (Salv)-5 b(atores,)40 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end userdict /end-hook known{end-hook}if %%EOF