G4PiNuclearCrossSection.cc

Go to the documentation of this file.

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#include "G4PiNuclearCrossSection.hh"
#include "G4SystemOfUnits.hh"
#include "G4DynamicParticle.hh"
#include "G4HadronicException.hh"
#include "G4HadTmpUtil.hh"
 
// by J.P Wellisch, Sun Sep 15 2002.
// corrected G.Folger 17-8-2006: inel. Ca pim was missing two number, 
// + formatting
//
// updated   G.Folger 21-8-2006: Change scaling of cross section for 
// elements not tabulated from scaling in Z^(2/3) to A^0.75
// Implements P2-90-158;
//
// 22 Dec 2006 - D.H. Wright added isotope dependence
//
// 19 Aug 2011, V.Ivanchenko move to new design and make x-section per element
     
 const G4double G4PiNuclearCrossSection::e1[38] = {
  .02, .04, .06, .08,  .1, .12, .13, .14, .15, .16, .17, .18, .19, .20, 
  .22, .24, .26, .28, .30, .35, .40, .45,  0.5, 0.55, 0.6, 0.7,  0.8,  0.9,
   1,   2,   3,   5,  10,   20,   50,  100,  500, 100000};
 
 const G4double G4PiNuclearCrossSection::he_t[38] = { 
   40,  70, 108, 152, 208, 276, 300, 320, 329, 333, 332, 328, 322, 310, 288, 
  260, 240, 216, 196, 144, 125, 112,108.5,  109, 110.5, 117,  123,128.5, 135, 
  110,  96,  87,  85, 83.5, 83.5, 83.5, 83.5, 83.5};
 
 const G4double G4PiNuclearCrossSection::he_in[38] =  { 
   18,  38,  62,  98, 136, 176, 190, 200, 209,  212,  212, 208,  204, 196, 
  176, 164, 150, 134, 124,97.5,  90,  85, 82.5, 83.5, 86.5, 93, 97.5,  100, 
  102,  83,  77,  75,  74, 72.5, 72.5, 72.5, 72.5, 72.5};
 
 const G4double G4PiNuclearCrossSection::be_m_t[38] = {
  150, 210, 294, 396, 520, 600, 623, 635, 642, 640, 630, 615, 600, 576, 540, 
  504, 470, 435, 400, 340, 294, 258, 236, 230, 233, 244, 257, 270, 276, 250, 
  230, 215, 205,  194,  188,  186,  186,  186};
 
 const G4double G4PiNuclearCrossSection::be_m_in[38] = { 
   90, 126, 177, 240, 320, 380, 400, 410, 414, 410, 400, 387, 371, 360, 333, 
  312, 285, 260, 237, 216, 198, 187, 182, 180, 182, 187, 193, 203, 207, 179, 
  172, 165, 159, 155, 144, 144, 144, 144};
 
 const G4double G4PiNuclearCrossSection::be_p_t[24] = { 
   96, 150, 222, 320, 430, 514, 545, 565, 574, 574, 564, 552, 535, 522, 490, 
  462, 432, 398, 367, 314, 276, 248, 232, 230};
 
 const G4double G4PiNuclearCrossSection::be_p_in[24] = { 
   60,  95, 142, 194, 262, 319, 345, 361, 364, 364, 354, 350, 330, 319, 298, 
  280, 258, 237, 216, 200, 189, 183,  182,  180};
 
 const G4double G4PiNuclearCrossSection::e2[39] = {
  .02, .04, .06, .08, .10, .11, .12, .13, .14,  .15, .16, .17, .18, .20, .22,
  .24, .26, .28, .30, .35, .40, .45, .50, .55, .575, .60, .70, .80, .90,   1,
    2,   3,   5,  10,  20,  50, 100, 500, 100000};
 
 const G4double G4PiNuclearCrossSection::c_m_t[39] = {
  204, 260, 366, 517, 630, 673, 694, 704, 710, 711, 706, 694, 676, 648, 616, 
  584, 548, 518, 489, 426, 376, 342, 323, 310, 312, 313, 319, 333, 342, 348, 
  310, 290, 268, 250, 245, 237, 234, 234,  234};
 
 const G4double G4PiNuclearCrossSection::c_m_in[39] = {
  128, 160, 224, 315, 388, 416, 430, 438, 444, 445, 440, 432, 416, 400, 380, 
  354, 320, 304, 288, 264, 246, 240, 233, 232, 233, 234, 238, 246, 252, 256, 
  220, 210, 198, 187, 183, 176, 174, 174,  174};
 
 const G4double G4PiNuclearCrossSection::c_p_t[24] = {
  140, 192, 294, 428, 594, 642, 662, 687, 685, 688, 684, 672, 656, 630, 598, 
  567, 533, 504, 474, 416, 369, 336, 319, 310};
 
 const G4double G4PiNuclearCrossSection::c_p_in[24] = { 
   94, 132, 184, 260, 370, 398, 408, 420, 426, 428, 424, 416, 400, 386, 366, 
  340, 308, 294, 280, 257, 241, 236, 231, 232};
 
 const G4double G4PiNuclearCrossSection::n_m_t[39] = {
  246, 308, 424, 590, 729, 776, 800, 821, 822, 817, 800, 778, 768, 728, 690, 
  654, 615, 584, 556, 480, 430, 393, 373, 367, 368, 370, 375, 388, 390, 397, 
  364, 337, 310, 291, 275, 268, 268, 268, 268};
 
 const G4double G4PiNuclearCrossSection::n_m_in[39] = {
  155, 188, 256, 360, 456, 492, 512, 526, 526, 520, 504, 491, 475, 450, 425, 
  396, 376, 360, 340, 300, 282, 270, 265, 265, 266, 268, 273, 280, 288, 288, 
  256, 237, 226, 218, 208, 202, 202, 202, 202};
 
 const G4double G4PiNuclearCrossSection::n_p_t[27] = {
  150, 212, 328, 500, 680, 735, 762, 781, 782, 779, 770, 748, 740, 706, 672, 
  633, 600, 569, 541, 467, 419, 385, 368, 364, 366, 368, 375};
 
 const G4double G4PiNuclearCrossSection::n_p_in[27] = { 
   90, 140, 208, 300, 426, 467, 490, 504, 504, 500, 484, 474, 460, 437, 413, 
  381, 365, 350, 330, 292, 276, 267, 263, 264, 265, 267, 273};
 
 const G4double G4PiNuclearCrossSection::e3[31] = {
  .02, .04, .06, .08, .10, .12, .14, .16, .18, .20, .22, .25, .30, .35, .40, 
  .45, .50, .60, .70, .80, .90,   1,   2,   3,   5,  10,  20,  50, 100, 500, 
  100000};
 
 const G4double G4PiNuclearCrossSection::o_m_t[31] = {
  280, 360, 500, 685, 812, 861, 870, 865, 835, 800, 755, 700, 600, 537, 493,  
  468, 441, 436, 443, 449, 460, 463, 432, 385, 350, 325, 312, 307, 303, 303,  
  303};
 
 const G4double G4PiNuclearCrossSection::o_m_in[31] = {
  190, 207, 300, 420, 500, 540, 550, 542, 520, 490, 460, 423, 360, 339, 321, 
  314, 312, 314, 319, 324, 328, 330, 300, 275, 250, 240, 229, 225, 222, 222,  
  222};
 
 const G4double G4PiNuclearCrossSection::o_p_t[20] = {
  170, 240, 390, 570, 740, 818, 830, 822, 800, 765, 725, 675, 585, 525, 483, 
  458, 444, 447, 453, 449};
 
 const G4double G4PiNuclearCrossSection::o_p_in[20] = {
  100, 145, 240, 340, 470, 518, 530, 522, 505, 477, 448, 412, 350, 330, 316, 
  310, 308, 311, 317, 324};
 
 const G4double G4PiNuclearCrossSection::na_m_t[31] = {
  450, 545, 705, 910, 1020, 1075, 1087, 1080, 1042, 987, 943, 885, 790, 700,
  650, 610, 585, 575, 585,  595,  600,  610,  556,  524, 494, 458, 445, 429,
  427, 427, 427};
 
 const G4double G4PiNuclearCrossSection::na_m_in[31] = {
  275, 315, 413, 545, 620, 660, 670, 662, 630, 593, 570, 520, 465, 420, 410, 
  395, 390, 400, 410, 418, 420, 422, 372, 348, 330, 320, 310, 294, 292, 292,  
  292};
 
 const G4double G4PiNuclearCrossSection::na_p_t[22] = {
  210, 320, 530, 795, 960, 1035, 1050, 1040, 1007, 957, 918, 865, 773, 685, 
  636, 598, 575, 565, 578,  590,  598,  610};
 
 const G4double G4PiNuclearCrossSection::na_p_in[22] = {
  115, 210, 340, 495, 585, 630, 645, 637, 605, 572, 550, 505, 455, 410, 401, 
  388, 383, 393, 405, 414, 418, 422};
 
 const G4double G4PiNuclearCrossSection::e3_1[31] = { 
  0.02, 0.04, 0.06, 0.08, 0.10, 0.12, 0.14, 0.16, 0.18, 0.20,
  0.22, 0.25, 0.30, 0.35, 0.40, 0.45, 0.50, 0.60, 0.70, 0.80,
  0.90, 1.0,  2.0,  3.0,  5.0, 10.0, 20.0, 50.0, 100.0, 500.0, 100000.0};
 
 const G4double G4PiNuclearCrossSection::al_m_t[31] = { 
  532, 637, 832, 1057, 1207, 1230, 1210, 1174, 1133, 1095,
 1038, 970, 890,  807,  750,  710,  675,  665,  670,  673,
  678, 682, 618,  574,  546,  520,  507,  495,  488,  488,  488};
 
 const G4double G4PiNuclearCrossSection::al_m_in[31] = {
  300, 360, 495, 665, 750, 765, 750, 730, 700, 660, 615, 570, 520, 490, 470, 
  450, 448, 450, 450, 452, 456, 460, 408, 392, 376, 356, 347, 338, 332, 332,  
  332};
 
 const G4double G4PiNuclearCrossSection::al_p_t[21] = { 
  225, 350, 616, 945, 1122, 1175, 1157, 1128, 1088, 1045,
  988, 935, 870, 787, 730,   690,  660,  652,  660,  668,  678};
 
 const G4double G4PiNuclearCrossSection::al_p_in[21] = {
  120, 238, 390, 610, 712, 735, 720, 703, 655, 635, 590, 550, 505, 475, 455, 
  438, 440, 445, 445, 450, 456};
 
 const G4double G4PiNuclearCrossSection::ca_m_t[31] = { 
  800,  980, 1240, 1460, 1570, 1600, 1580, 1535, 1475, 1425,
 1375, 1295, 1200, 1083, 1000,  948,  915,  895,  900,  908,
  915,  922,  856,  795,  740,  705,  682,  660,  660,  660, 660};
 
 const G4double G4PiNuclearCrossSection::ca_m_in[31] = {
  470, 550, 620, 860, 955, 980, 960, 920, 860, 820, 780, 740, 665, 637, 615, 
  600, 590, 590, 600, 608, 610, 615, 550, 525, 510, 488, 470, 450, 450, 450,
  450};
 
 const G4double G4PiNuclearCrossSection::ca_p_t[23] = { 
  275, 445, 790, 1195, 1440, 1485, 1475, 1435, 1385, 1335, 1295, 1245, 1160, 1050, 970, 
  923, 895, 877,  887,  897,  904,  913,  855};
 
 const G4double G4PiNuclearCrossSection::ca_p_in[23] = {
  160, 315, 500, 745, 870, 905, 900, 860, 810, 770, 740, 710, 640, 617, 595, 
  585, 575, 575, 590, 600, 602, 608, 510}; 
  // last number is 500 in org, changed to make things smooth.
 
 const G4double G4PiNuclearCrossSection::e4[32] = {
  0.02, 0.04, 0.06, 0.08, 0.10, 0.12, 0.14, 0.16, 0.18, 0.20, 0.22, 0.25, 0.30, 0.35, 0.40, 
  0.45, 0.50, 0.55, 0.60, 0.70, 0.80, 0.90,    1,    2,    3,    5,   10,   20,   50,  100,
   500, 100000};
 
 const G4double G4PiNuclearCrossSection::fe_m_t[32] = {
  1175, 1363, 1670, 1950, 2050, 2040, 1975, 1886, 1834, 1773, 1720, 1635,
  1474, 1380, 1269, 1225, 1182, 1162, 1159, 1162, 1178, 1190, 1197, 1102,
  1135,  975,  945,  925,  905,  905,  905,  905};
 
 const G4double G4PiNuclearCrossSection::fe_m_in[32] = {
   625, 725,   910, 1180, 1275, 1250, 1200, 1150, 1100, 1040,  995,  925,
   825,  810,  780,  760,  745,  740,  740,  740,  750,  760,  765,  690,
   660,  635,  615,  600,  585,  585,  585,  585};
 
 const G4double G4PiNuclearCrossSection::fe_p_t[25] = {
   330, 575,  1010, 1500, 1837, 1875, 1820, 1751, 1691, 1636, 1690, 1450,
  1396, 1305, 1219, 1190, 1148, 1138, 1134, 1144, 1163, 1175, 1183, 1198,
  1135};
 
 const G4double G4PiNuclearCrossSection::fe_p_in[25] = {
   210, 410,   707, 1010, 1125, 1150, 1100, 1070, 1010,  960,  920,  776,
   780,  760,  750,  740,  720,  725,  725,  730,  740,  750,  755,  690,
   660};
 
 const G4double G4PiNuclearCrossSection::cu_m_t[32] = {
  1400, 1600, 1875, 2088, 2200, 2220, 2175, 2125, 2075, 2012, 1950, 1855,
  1670, 1530, 1430, 1370, 1315, 1315, 1315, 1330, 1345, 1360, 1365, 1250,
  1185, 1128, 1070, 1035, 1010, 1010, 1010, 1010};
 
 const G4double G4PiNuclearCrossSection::cu_m_in[32] = {
   725, 840,  1020, 1200, 1295, 1300, 1267, 1240, 1213, 1175, 1125, 1042,
   950,  900,  860,  840,  830,  832,  835,  840,  850,  860,  865,  785,
   735,  705,  680,  650,  630,  630,  630,  630};
 
 const G4double G4PiNuclearCrossSection::cu_p_t[25] = {
   355, 605,  1120, 1630, 1940, 2010, 2010, 1980, 1925, 1895, 1830, 1730,
  1585, 1490, 1400, 1340, 1290, 1290, 1290, 1310, 1330, 1345, 1350, 1240,
  1185};
 
 const G4double G4PiNuclearCrossSection::cu_p_in[25] = {
   230, 425,  780,  1025, 1155, 1190, 1190, 1180, 1125, 1100, 1050, 1000,
   900,  870,  835,  815,  810,  812,  815,  825,  840,  850,  855,  780,
   735};
 
 const G4double G4PiNuclearCrossSection::e5[34] = {
  0.02, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.10, 0.12, 0.14, 0.16, 0.18, 0.20, 0.22, 0.25,
  0.30, 0.35, 0.40, 0.45, 0.50, 0.60, 0.70, 0.80, 0.90,    1,    2,    3,    5,   10,   20,
    50,  100,  500, 100000};
 
 const G4double G4PiNuclearCrossSection::mo_m_t[34] = {
  2430, 2610, 2710, 2790, 2880, 2940, 2965, 2970, 2970, 2920, 2840, 2720,
  2570, 2500, 2365, 2200, 2050, 1926, 1825, 1768, 1749, 1750, 1778, 1789,
  1808, 1690, 1645, 1530, 1492, 1450, 1425, 1425, 1425, 1425};
 
 const G4double G4PiNuclearCrossSection::mo_m_in[34] = {
   925, 1125, 1250, 1375, 1500, 1600, 1680, 1750, 1770, 1730, 1660, 1580,
  1500, 1450, 1330, 1250, 1190, 1140, 1100, 1075, 1075, 1070, 1088, 1095,
  1110, 1035, 1005,  940,  917,  880,  860,  860,  860,  860};
 
 const G4double G4PiNuclearCrossSection::mo_p_t[27] = {
   410,  730, 1110, 1530, 1920, 2200, 2385, 2520, 2600, 2630, 2575, 2470,
  2320, 2285, 2185, 2053, 1945, 1852, 1776, 1719, 1710, 1716, 1746, 1759,
  1778, 1675, 1645};
 
 const G4double G4PiNuclearCrossSection::mo_p_in[27] = {
   270,  540,  825,  975, 1140, 1285, 1400, 1480, 1555, 1580, 1525, 1470,
  1360, 1340, 1255, 1160, 1120, 1085, 1060, 1045, 1045, 1045, 1065, 1075,
  1090, 1025, 1005};
 
 const G4double G4PiNuclearCrossSection::cd_m_t[34] = {
  3060, 3125, 3170, 3220, 3255, 3280, 3290, 3260, 3270, 3200, 3120, 3080,
  3090, 2920, 2810, 2640, 2362, 2230, 2115, 2050, 2020, 2025, 2040, 2070,
  2100, 1900, 1795, 1740, 1675, 1645, 1625, 1620, 1620, 1620};
 
 const G4double G4PiNuclearCrossSection::cd_m_in[34]= {
  1025, 1275, 1440, 1625, 1740, 1800, 1880, 1920, 1980, 1920, 1850, 1810,
  1720, 1650, 1560, 1450, 1330, 1290, 1245, 1210, 1200, 1200, 1205, 1205,
  1230, 1130, 1085, 1060, 1000,  985,  975,  970,  970,  970};
 
 const G4double G4PiNuclearCrossSection::cd_p_t[28] =  {
   455,  780, 1170, 1700, 2120, 2400, 2600, 2720, 2820, 2840, 2800, 2760,
  2720, 2640, 2560, 2450, 2252, 2130, 2035, 1985, 1970, 1975, 2005, 2035,
  2070, 1880, 1795, 1740};
 
 const G4double G4PiNuclearCrossSection::cd_p_in[28] = {
   310,  580,  880, 1060, 1270, 1400, 1530, 1610, 1660, 1680, 1640, 1600,
  1560, 1500, 1430, 1330, 1280, 1230, 1200, 1180, 1170, 1175, 1180, 1180,
  1210, 1120, 1085, 1060};
 
 const G4double G4PiNuclearCrossSection::e6[35] = {
  0.02, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.10, 0.12, 0.14, 0.16, 0.18,
  0.20, 0.22, 0.25, 0.30, 0.35, 0.40, 0.45, 0.50, 0.55, 0.60, 0.70, 0.80,
  0.90, 1.0,  2.0,  3.0,  5.0, 10.0, 20.0, 50.0, 100.0, 500.0, 100000.0};
 
 const G4double G4PiNuclearCrossSection::sn_m_t[35] = {
  3000, 3180, 3250, 3300, 3300, 3410, 3470, 3450, 3410, 3350, 3280, 3200,
  3120, 3050, 2900, 2630, 2500, 2325, 2190, 2100, 2060, 2055, 2055, 2055,
  2067, 2085, 2000, 1900, 1835, 1770, 1720, 1700, 1695, 1695, 1695};
 
 const G4double G4PiNuclearCrossSection::sn_m_in[35] = {
  1050, 1350, 1520, 1650, 1800, 1980, 2070, 2120, 2090, 2050, 1980, 1920,
  1830, 1770, 1670, 1500, 1435, 1350, 1300, 1230, 1220, 1235, 1235, 1235,
  1237, 1240, 1160, 1120, 1090, 1065, 1040, 1020, 1015, 1015, 1015};
 
 const G4double G4PiNuclearCrossSection::sn_p_t[29] = {
   465,  800, 1200, 1760, 2170, 2480, 2730, 2885, 2970, 2980, 2970, 2890,
  2840, 2790, 2620, 2450, 2335, 2205, 2080, 2020, 2010, 1990, 1990, 2015,
  2030, 2045, 1980, 1890, 1835};
 
 const G4double G4PiNuclearCrossSection::sn_p_in[29] = {
   315,  590,  880, 1220, 1460, 1580, 1700, 1770, 1810, 1810, 1800, 1730,
  1680, 1630, 1530, 1400, 1335, 1270, 1210, 1180, 1190, 1190, 1190, 1205,
  1210, 1210, 1150, 1115, 1090};
 
 const G4double G4PiNuclearCrossSection::w_m_t[35] = {
  5200, 5115, 5025, 4975, 4900, 4850, 4780, 4725, 4600, 4490, 4355, 4255,
  4125, 4040, 3830, 3580, 3330, 3110, 2955, 2860, 2852, 2845, 2885, 2900,
  2915, 2940, 2800, 2660, 2570, 2490, 2460, 2425, 2420, 2420, 2420};
 
 const G4double G4PiNuclearCrossSection::w_m_in[35] = {
  1450, 1850, 2100, 2350, 2550, 2700, 2825, 2900, 2850, 2750, 2630, 2525,
  2400, 2300, 2200, 2070, 1880, 1770, 1715, 1680, 1680, 1680, 1685, 1690,
  1700, 1720, 1635, 1560, 1530, 1460, 1440, 1410, 1410, 1410, 1410};
 
 const G4double G4PiNuclearCrossSection::w_p_t[30] = {
   480,  900, 1500, 2350, 3020, 3420, 3650, 3775, 3875, 3830, 3750, 3700,
  3630, 3550, 3550, 3290, 3070, 2890, 2840, 2730, 2725, 2720, 2770, 2805,
  2828, 2865, 2770, 2640, 2570, 2490};
 
 const G4double G4PiNuclearCrossSection::w_p_in[30] = {
   325,  680,  990, 1500, 1850, 2150, 2250, 2300, 2350, 2330, 2280, 2230,
  2200, 2120, 2130, 1900, 1780, 1670, 1635, 1600, 1602, 1605, 1610, 1615,
  1630, 1660, 1620, 1550, 1530, 1460};
 
 const G4double G4PiNuclearCrossSection::e7[35] = {
  0.02, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.10, 0.12, 0.14, 0.16, 0.18,
  0.20, 0.22, 0.25, 0.30, 0.35, 0.40, 0.45, 0.50, 0.55, 0.60, 0.70, 0.80,
  0.90,    1,    2,    3,    5,   10,   20,   50,  100,  500, 100000};
 
 const G4double G4PiNuclearCrossSection::pb_m_t[35] = {
  5890, 5700, 5610, 5580, 5550, 5480, 5400, 5300, 5100, 4930, 4750, 4600,
  4400, 4280, 4170, 3915, 3650, 3470, 3260, 3150, 3120, 3070, 3085, 3100,
  3120, 3160, 3070, 2930, 2820, 2750, 2710, 2655, 2640, 2640, 2640};
 
 const G4double G4PiNuclearCrossSection::pb_m_in[35] = {
  1575, 2025, 2300, 2575, 2850, 3000, 3115, 3180, 3080, 2940, 2800, 2670, 2550, 2450, 2370, 
  2220, 2110, 2000, 1920, 1880, 1850, 1800, 1805, 1810, 1820, 1840, 1800, 1720, 1640, 1620, 
  1570, 1530, 1530, 1530, 1530};
 
 const G4double G4PiNuclearCrossSection::pb_p_t[30] = { 
   515,  940, 1500, 2400, 3270, 3750, 4050, 4140, 4260, 4200, 4080, 3990, 3990, 3810, 3730, 
  3520, 3370, 3186, 3110, 3010, 2990, 2985, 3005, 3020, 3040, 3080, 3020, 2905, 2790, 2750};
 
 const G4double G4PiNuclearCrossSection::pb_p_in[30] = { 
   348,  707, 1040, 1650, 2100, 2400, 2580, 2640, 2650, 2520, 2410, 2300, 2250, 2190, 2130, 
  2000, 1930, 1870, 1830, 1790, 1770, 1765, 1775, 1780, 1790, 1800, 1775, 1710, 1620, 1620};
 
 const G4double G4PiNuclearCrossSection::u_m_t[35] =   {
  7080, 6830, 6650, 6530, 6400, 6280, 6100, 5840, 5660, 5520, 5330, 5160, 
  4990, 4810, 4630, 4323, 4130, 3870, 3700, 3550, 3490, 3465, 3467, 3475, 
  3495, 3515, 3440, 3360, 3150, 3040, 2985, 2955, 2940, 2940, 2940};
 
 const G4double G4PiNuclearCrossSection::u_m_in[35] =  {
  1740, 2220, 2500, 2820, 3080, 3300, 3420, 3500, 3420, 3330, 3200, 3060, 
  2940, 2850, 2710, 2470, 2380, 2250, 2160, 2080, 2040, 2045, 2047, 2050, 
  2055, 2060, 2010, 1980, 1830, 1780, 1735, 1710, 1700, 1700, 1700};
 
 const G4double G4PiNuclearCrossSection::u_p_t[30] =   { 
   485,  960, 1580, 2700, 3550, 4050, 4320, 4420, 4620, 4660, 4580, 4470, 
  4350, 4295, 4187, 3938, 3755, 3573, 3450, 3342, 3310, 3295, 3310, 3330, 
  3375, 3405, 3350, 3338, 3135, 3040};
 
 const G4double G4PiNuclearCrossSection::u_p_in[30] =  { 
   334,  720, 1020, 1560, 2100, 2300, 2550, 2700, 2880, 2880, 2760, 2660, 
  2550, 2510, 2430, 2270, 2130, 2060, 2000, 1970, 1950, 1950, 1960, 1960, 
  1970, 1980, 1950, 1978, 1830, 1780};
 
 
G4PiNuclearCrossSection::G4PiNuclearCrossSection()
 : G4VCrossSectionDataSet("G4PiNuclearCrossSection"),
   fTotalXsc(0.0), fElasticXsc(0.0)
{
  SetMinKinEnergy(0.0);
  SetMaxKinEnergy(99.9*TeV);
   
  thePimData.push_back(new G4PiData(he_t,   he_in,  e1, 38));
  thePipData.push_back(new G4PiData(he_t,   he_in,  e1, 38));
  thePimData.push_back(new G4PiData(be_m_t, be_m_in, e1, 38));
  thePipData.push_back(new G4PiData(be_p_t, be_p_in, e1, 24));
  thePimData.push_back(new G4PiData(c_m_t,  c_m_in,  e2, 39));
  thePipData.push_back(new G4PiData(c_p_t,  c_p_in,  e2, 24));
  thePimData.push_back(new G4PiData(n_m_t,  n_m_in,  e2, 39));
  thePipData.push_back(new G4PiData(n_p_t,  n_p_in,  e2, 27));
  thePimData.push_back(new G4PiData(o_m_t,  o_m_in,  e3, 31));
  thePipData.push_back(new G4PiData(o_p_t,  o_p_in,  e3, 20));
  thePimData.push_back(new G4PiData(na_m_t, na_m_in, e3, 31));
  thePipData.push_back(new G4PiData(na_p_t, na_p_in, e3, 22));
  thePimData.push_back(new G4PiData(al_m_t, al_m_in, e3_1, 31));
  thePipData.push_back(new G4PiData(al_p_t, al_p_in, e3_1, 21));
  thePimData.push_back(new G4PiData(ca_m_t, ca_m_in, e3_1, 31));
  thePipData.push_back(new G4PiData(ca_p_t, ca_p_in, e3_1, 23));
  thePimData.push_back(new G4PiData(fe_m_t, fe_m_in, e4, 32));
  thePipData.push_back(new G4PiData(fe_p_t, fe_p_in, e4, 25));
  thePimData.push_back(new G4PiData(cu_m_t, cu_m_in, e4, 32));
  thePipData.push_back(new G4PiData(cu_p_t, cu_p_in, e4, 25));
  thePimData.push_back(new G4PiData(mo_m_t, mo_m_in, e5, 34));
  thePipData.push_back(new G4PiData(mo_p_t, mo_p_in, e5, 27));
  thePimData.push_back(new G4PiData(cd_m_t, cd_m_in, e5, 34));
  thePipData.push_back(new G4PiData(cd_p_t, cd_p_in, e5, 28));
  thePimData.push_back(new G4PiData(sn_m_t, sn_m_in, e6, 35));
  thePipData.push_back(new G4PiData(sn_p_t, sn_p_in, e6, 29));
  thePimData.push_back(new G4PiData(w_m_t,  w_m_in,  e6, 35));
  thePipData.push_back(new G4PiData(w_p_t,  w_p_in,  e6, 30));
  thePimData.push_back(new G4PiData(pb_m_t, pb_m_in, e7, 35));
  thePipData.push_back(new G4PiData(pb_p_t, pb_p_in, e7, 30));
  thePimData.push_back(new G4PiData(u_m_t,  u_m_in,  e7, 35));
  thePipData.push_back(new G4PiData(u_p_t,  u_p_in,  e7, 30));
 
  theZ.push_back(2); // He
  theZ.push_back(4); // Be
  theZ.push_back(6); // C
  theZ.push_back(7); // N
  theZ.push_back(8); // O
  theZ.push_back(11); // Na
  theZ.push_back(13); // Al
  theZ.push_back(20); // Ca
  theZ.push_back(26); // Fe
  theZ.push_back(29); // Cu
  theZ.push_back(42); // Mo
  theZ.push_back(48); // Cd
  theZ.push_back(50); // Sn
  theZ.push_back(74); // W
  theZ.push_back(82); // Pb
  theZ.push_back(92); // U
}
 
G4PiNuclearCrossSection::
~G4PiNuclearCrossSection()
{
  std::for_each(thePimData.begin(), thePimData.end(), G4PiData::Delete());
  std::for_each(thePipData.begin(), thePipData.end(), G4PiData::Delete());
}
 
void
G4PiNuclearCrossSection::CrossSectionDescription(std::ostream& outFile) const
{
  outFile << "G4PiNuclearCrossSection calculates the pion inelastic cross\n"
          << "section for all nuclei heavier than hydrogen.  It uses the\n"
          << "Barashenkov cross sections and is valid for all incident\n"
          << "energies.\n"; 
}
 
 
G4bool 
G4PiNuclearCrossSection::IsElementApplicable(const G4DynamicParticle*,
                         G4int Z, const G4Material*)
{
  return (1 < Z);
}
 
 
void G4PiNuclearCrossSection::BuildPhysicsTable(const G4ParticleDefinition& p)
{
  if(&p == G4PionMinus::PionMinus() || &p == G4PionPlus::PionPlus()) { return; }
  throw G4HadronicException(__FILE__, __LINE__,"Is applicable only for pions");
}
 
G4double 
G4PiNuclearCrossSection::GetElementCrossSection(const G4DynamicParticle* particle, 
                        G4int Z, const G4Material*)
{
  G4double charge = particle->GetDefinition()->GetPDGCharge();
  G4double kineticEnergy = particle->GetKineticEnergy();
 
  // body
 
  G4double result = 0;
  //  debug.push_back(Z);
  size_t it = 0;
 
  while(it < theZ.size() && Z > theZ[it]) it++;
 
  //  debug.push_back(theZ[it]);
  //  debug.push_back(kineticEnergy);
 
  if(Z > theZ[it]) 
  {
    throw G4HadronicException(__FILE__, __LINE__,
      "Called G4PiNuclearCrossSection outside parametrization");
  }
  G4int Z1, Z2;
  G4double x1, x2, xt1, xt2;
  if( charge < 0 )
  {
    if( theZ[it] == Z )
    {
      result = thePimData[it]->ReactionXSection(kineticEnergy);
      fTotalXsc = thePimData[it]->TotalXSection(kineticEnergy);
 
      //      debug.push_back("D1 ");
      //      debug.push_back(result);
      //      debug.push_back(fTotalXsc);
    }
    else
    {
      x1 = thePimData[it-1]->ReactionXSection(kineticEnergy);
      xt1 = thePimData[it-1]->TotalXSection(kineticEnergy);
      Z1 = theZ[it-1];
      x2 = thePimData[it]->ReactionXSection(kineticEnergy);
      xt2 = thePimData[it]->TotalXSection(kineticEnergy);
      Z2 = theZ[it];
 
      result = Interpolate(Z1, Z2, Z, x1, x2);
      fTotalXsc = Interpolate(Z1, Z2, Z, xt1, xt2);
 
      //      debug.push_back("D2 ");
      //      debug.push_back(x1);
      //      debug.push_back(x2);
      //      debug.push_back(xt1);
      //      debug.push_back(xt2);
      //      debug.push_back(Z1);
      //      debug.push_back(Z2);
      //      debug.push_back(result);
      //      debug.push_back(fTotalXsc);
    }
  }
  else
  {
    if(theZ[it]==Z)
    {
      // at high energies, when no data for pi+, use pi- 
      std::vector<G4PiData *> * theData = &thePimData;
      if(thePipData[it]->AppliesTo(kineticEnergy))
      {
        theData = &thePipData;
      }
      result = theData->operator[](it)->ReactionXSection(kineticEnergy);
      fTotalXsc = theData->operator[](it)->TotalXSection(kineticEnergy);
 
      //      debug.push_back("D3 ");
      //      debug.push_back(result);
      //      debug.push_back(fTotalXsc);
    }
    else
    {
      std::vector<G4PiData *> * theLData = &thePimData;
      if(thePipData[it-1]->AppliesTo(kineticEnergy))
      {
        theLData = &thePipData;
      }
      std::vector<G4PiData *> * theHData = &thePimData;
      if(thePipData[it]->AppliesTo(kineticEnergy))
      {
        theHData = &thePipData;
      }
      x1 = theLData->operator[](it-1)->ReactionXSection(kineticEnergy);
      xt1 = theLData->operator[](it-1)->TotalXSection(kineticEnergy);
      Z1 = theZ[it-1];
      x2 = theHData->operator[](it)->ReactionXSection(kineticEnergy);
      xt2 = theHData->operator[](it)->TotalXSection(kineticEnergy);
      Z2 = theZ[it];
 
      result = Interpolate(Z1, Z2, Z, x1, x2);
      fTotalXsc = Interpolate(Z1, Z2, Z, xt1, xt2);
 
      //      debug.push_back("D4 ");
      //      debug.push_back(x1);
      //      debug.push_back(xt1);
      //      debug.push_back(x2);
      //      debug.push_back(xt2);
      //      debug.push_back(Z1);
      //      debug.push_back(Z2);
      //      debug.push_back(result);
      //      debug.push_back(fTotalXsc);
    }
  }
  //  debug.dump();
 
  fElasticXsc = fTotalXsc - result;
  if( fElasticXsc < 0.) fElasticXsc = 0.;
 
  return result;
}
 
 
G4double G4PiNuclearCrossSection::
Interpolate(G4int Z1, G4int Z2, G4int Z, G4double x1, G4double x2)
{ 
//   Nucleon numbers obtained from G4NistManager G4 8.0
 static const G4double A[92] = {
   1.0001, 4.0000, 6.9241, 9.000, 10.801, 12.011, 14.004, 16.004, 19.000,
  20.188, 23.000, 24.320, 27.000, 28.109, 31.000, 32.094, 35.484, 39.985,
  39.135, 40.116, 45.000, 47.918, 50.998, 52.055, 55.000, 55.910, 59.000,
  58.760, 63.617, 65.468, 69.798, 72.691, 75.000, 79.042, 79.986, 83.887,
  85.557, 87.710, 89.000, 91.318, 93.000, 96.025, 98.000, 101.16, 103.00,
 106.51, 107.96, 112.51, 114.91, 118.81, 121.86, 127.70,  127.00, 131.39,
 133.00, 137.42, 139.00, 140.21, 141.00, 144.32, 145.00,  150.45, 152.04,
 157.33, 159.00, 162.57, 165.00, 167.32, 169.00, 173.10,  175.03, 178.54,
 181.00, 183.89, 186.25, 190.27, 192.25, 195.11, 197.00, 200.63,  204.41,
 207.24, 209.00, 209.00, 210.00, 222.00, 223.00, 226.00, 227.00,  232.00,
 231.00, 237.98};
             
 static G4bool NeedInit=true;            
 static G4double A75[92];
 if ( NeedInit )
 {
    for (G4int i=0; i<92; ++i)
    {
       A75[i]=std::pow(A[i],0.75);
    }
    NeedInit=false;
 }
 
// for tabulated data, cross section scales with A^.75
   G4double r1 = x1 / A75[Z1-1] * A75[Z-1];
   G4double r2 = x2 / A75[Z2-1] * A75[Z-1];
   G4double result=0.5*(r1+r2);
//  G4cout << "x1/2, z1/2 z" <<x1<<" "<<x2<<" "<<Z1<<" "<<Z2<<" "<<Z<<G4endl;
//  G4cout << "res1/2 " << r1 <<" " << r2 <<" " << result<< G4endl;
   return result;
}