C ********************************************************************* C aac.f Version 1.0 Nov. 2, 2000 C C [Package for the AAC polarized parton distribution functions] C ********************************************************************* C AAC Polarized Parton Distribution Functions. C (Asymmetry Analysis Collaboration) C C This package contains 3 sets of parton distribution functions: C 1) AAC Leading Order (LO), C 2) AAC Next-to-Leading Order (NLO), Set-1, C 3) AAC Next-to-Leading Order (NLO), Set-2. C C REFERENCE: C "Polarized Parton Distribution Functions in the Nucleon", C Y. Goto, N. Hayashi, M. Hirai, H. Horikawa, S. Kumano, C M. Miyama, T. Morii, N. Saito, T.-A. Shibata, E. Taniguchi, C and T. Yamanishi (Asymmetry Analysis Collaboration), C Phys. Rev. D62 (2000) 34017. C C QUESTION OR COMMENT TO: C Masanori Miyama [miyama@comp.metro-u.ac.jp] C Masanori Hirai [98td25@edu.cc.saga-u.ac.jp] C Hideyuki Kobayashi [hyuki@rarfaxp.riken.go.jp] C --------------------------------------------------------------------- C SUBROUTINE AACPDF(ISET,Q2,X,POLPDF,STRUCT): C C Subroutine AACPDF returns the values of AAC polarized parton C distribution functions and structure functions g_1 at specified C Q^2 and x point by interpolating the grid data. C [ Log(Q^2): LINEAR INTERPOLATION, x: CUBIC SPLINE INTERPOLATION ] C C INPUT: C C ISET 1 ... AAC LO C 2 ... AAC NLO Set-1 C 3 ... AAC NLO Set-2 C C Q2, X ... Q^2 and x values at which the distributions are C calculated. Available range: 10^-9 <= X <= 1.0, C 1.0 GeV^2 <= Q2 <= 100,000 GeV^2. C C OUTPUT: Arrays POLPDF(-3:3) and STRUCT(3) C C POLPDF(I) --> Polarized Parton Distribution Functions. C I = -3 ... s-bar quark (x Delta s-bar = x Delta s) C -2 ... d-bar quark (x Delta d-bar = x Delta d_sea) C -1 ... u-bar quark (x Delta u-bar = x Delta u_sea) C 0 ... gluon (x Delta g) C 1 ... u-valence quark (x Delta u_v) C 2 ... d-valence quark (x Delta d_v) C 3 ... s quark (x Delta s = x Delta s-bar) C C STRUCT(I) --> Structure Functions g_1. C I = 1 ... x g_1 for proton C 2 ... x g_1 for neutron C 3 ... x g_1 for deuteron C C NOTE: The returned values are the distributions and C the structure functions multiplied by x. C ********************************************************************* SUBROUTINE AACPDF(ISET,Q2,X,POLPDF,STRUCT) C --------------------------------------------------------------------- IMPLICIT REAL*8(A-H,O-Z) PARAMETER (NQ=23, NX=68, ND=9, NSET=3) DIMENSION IREAD(2), POLPDF(-3:3), STRUCT(3), QG(NQ), XG(NX), 1 PDFG(NX,NQ,ND,NSET), PDFJ1(ND), PDFJ2(ND), 2 BXG(NX,NQ,ND), CXG(NX,NQ,ND), DXG(NX,NQ,ND) SAVE IREAD, BXG, CXG, DXG DATA IREAD / 1, 1 / C Q2 AND X GRID. DATA QG / 1.0D0, 1.3D0, 1.8D0, 2.7D0, 4.0D0, 6.4D0, + 1.0D1, 1.6D1, 2.5D1, 4.0D1, 6.4D1, + 1.0D2, 1.8D2, 3.2D2, 5.7D2, + 1.0D3, 1.8D3, 3.2D3, 5.7D3, + 1.0D4, 2.2D4, 4.6D4, + 1.0D5 / DATA XG / 1.0D-9, 1.8D-9, 3.2D-9, 5.7D-9, + 1.0D-8, 1.8D-8, 3.2D-8, 5.7D-8, + 1.0D-7, 1.8D-7, 3.2D-7, 5.7D-7, + 1.0D-6, 1.4D-6, 2.0D-6, 3.0D-6, 4.5D-6, 6.7D-6, + 1.0D-5, 1.4D-5, 2.0D-5, 3.0D-5, 4.5D-5, 6.7D-5, + 1.0D-4, 1.4D-4, 2.0D-4, 3.0D-4, 4.5D-4, 6.7D-4, + 1.0D-3, 1.4D-3, 2.0D-3, 3.0D-3, 4.5D-3, 6.7D-3, + 1.0D-2, 1.4D-2, 2.0D-2, 3.0D-2, 4.5D-2, + 0.06D0, 0.08D0, 0.1D0, 0.125D0, 0.15D0, 0.175D0, + 0.2D0, 0.225D0, 0.25D0, 0.275D0, 0.3D0, 0.325D0, + 0.35D0, 0.375D0, 0.4D0, 0.45D0, 0.5D0, 0.55D0, + 0.6D0, 0.65D0, 0.7D0, 0.75D0, 0.8D0, 0.85D0, + 0.9D0, 0.95D0, 1.0D0 / C GRID DATA (PDF LO). DATA ((PDFG(K, 1,I,1), I=1,6), K= 1, 9) / + 1.8426E-08, 3.8951E-05, -1.6056E-05, + -1.7186E-06, -1.7186E-06, -1.7186E-06, + 3.1421E-08, 5.0924E-05, -2.0991E-05, + -2.3551E-06, -2.3551E-06, -2.3551E-06, + 5.2980E-08, 6.6201E-05, -2.7288E-05, + -3.2059E-06, -3.2059E-06, -3.2059E-06, + 8.9489E-08, 8.6138E-05, -3.5507E-05, + -4.3685E-06, -4.3685E-06, -4.3685E-06, + 1.4908E-07, 1.1131E-04, -4.5881E-05, + -5.9045E-06, -5.9045E-06, -5.9045E-06, + 2.5423E-07, 1.4552E-04, -5.9984E-05, + -8.0912E-06, -8.0912E-06, -8.0912E-06, + 4.2866E-07, 1.8918E-04, -7.7979E-05, + -1.1014E-05, -1.1014E-05, -1.1014E-05, + 7.2405E-07, 2.4615E-04, -1.0146E-04, + -1.5008E-05, -1.5008E-05, -1.5008E-05, + 1.2062E-06, 3.1807E-04, -1.3111E-04, + -2.0285E-05, -2.0285E-05, -2.0285E-05 / DATA ((PDFG(K, 1,I,1), I=1,6), K=10,18) / + 2.0569E-06, 4.1584E-04, -1.7141E-04, + -2.7798E-05, -2.7798E-05, -2.7798E-05, + 3.4682E-06, 5.4059E-04, -2.2283E-04, + -3.7839E-05, -3.7839E-05, -3.7839E-05, + 5.8582E-06, 7.0339E-04, -2.8994E-04, + -5.1562E-05, -5.1562E-05, -5.1562E-05, + 9.7596E-06, 9.0890E-04, -3.7465E-04, + -6.9692E-05, -6.9692E-05, -6.9692E-05, + 1.3247E-05, 1.0596E-03, -4.3678E-04, + -8.3465E-05, -8.3465E-05, -8.3465E-05, + 1.8313E-05, 1.2468E-03, -5.1392E-04, + -1.0105E-04, -1.0105E-04, -1.0105E-04, + 2.6464E-05, 1.5000E-03, -6.1829E-04, + -1.2558E-04, -1.2558E-04, -1.2558E-04, + 3.8242E-05, 1.8046E-03, -7.4385E-04, + -1.5606E-04, -1.5606E-04, -1.5606E-04, + 5.4890E-05, 2.1637E-03, -8.9189E-04, + -1.9317E-04, -1.9317E-04, -1.9317E-04 / DATA ((PDFG(K, 1,I,1), I=1,6), K=19,27) / + 7.8960E-05, 2.5972E-03, -1.0706E-03, + -2.3941E-04, -2.3941E-04, -2.3941E-04, + 1.0717E-04, 3.0279E-03, -1.2481E-03, + -2.8671E-04, -2.8671E-04, -2.8671E-04, + 1.4816E-04, 3.5626E-03, -1.4685E-03, + -3.4709E-04, -3.4709E-04, -3.4709E-04, + 2.1409E-04, 4.2861E-03, -1.7667E-03, + -4.3131E-04, -4.3131E-04, -4.3131E-04, + 3.0934E-04, 5.1564E-03, -2.1253E-03, + -5.3592E-04, -5.3592E-04, -5.3592E-04, + 4.4396E-04, 6.1824E-03, -2.5481E-03, + -6.6322E-04, -6.6322E-04, -6.6322E-04, + 6.3855E-04, 7.4207E-03, -3.0584E-03, + -8.2173E-04, -8.2173E-04, -8.2173E-04, + 8.6652E-04, 8.6508E-03, -3.5651E-03, + -9.8372E-04, -9.8372E-04, -9.8372E-04, + 1.1975E-03, 1.0178E-02, -4.1940E-03, + -1.1902E-03, -1.1902E-03, -1.1902E-03 / DATA ((PDFG(K, 1,I,1), I=1,6), K=28,36) / + 1.7296E-03, 1.2244E-02, -5.0444E-03, + -1.4776E-03, -1.4776E-03, -1.4776E-03, + 2.4973E-03, 1.4728E-02, -6.0665E-03, + -1.8334E-03, -1.8334E-03, -1.8334E-03, + 3.5803E-03, 1.7656E-02, -7.2699E-03, + -2.2642E-03, -2.2642E-03, -2.2642E-03, + 5.1414E-03, 2.1190E-02, -8.7201E-03, + -2.7967E-03, -2.7967E-03, -2.7967E-03, + 6.9638E-03, 2.4701E-02, -1.0158E-02, + -3.3356E-03, -3.3356E-03, -3.3356E-03, + 9.5973E-03, 2.9061E-02, -1.1939E-02, + -4.0134E-03, -4.0134E-03, -4.0134E-03, + 1.3798E-02, 3.4967E-02, -1.4342E-02, + -4.9369E-03, -4.9369E-03, -4.9369E-03, + 1.9792E-02, 4.2092E-02, -1.7225E-02, + -6.0429E-03, -6.0429E-03, -6.0429E-03, + 2.8113E-02, 5.0543E-02, -2.0619E-02, + -7.3180E-03, -7.3180E-03, -7.3180E-03 / DATA ((PDFG(K, 1,I,1), I=1,6), K=37,45) / + 3.9839E-02, 6.0861E-02, -2.4722E-02, + -8.7844E-03, -8.7844E-03, -8.7844E-03, + 5.3150E-02, 7.1301E-02, -2.8831E-02, + -1.0132E-02, -1.0132E-02, -1.0132E-02, + 7.1721E-02, 8.4629E-02, -3.4023E-02, + -1.1623E-02, -1.1623E-02, -1.1623E-02, + 9.9901E-02, 1.0352E-01, -4.1312E-02, + -1.3282E-02, -1.3282E-02, -1.3282E-02, + 1.3748E-01, 1.2793E-01, -5.0668E-02, + -1.4736E-02, -1.4736E-02, -1.4736E-02, + 1.7092E-01, 1.4980E-01, -5.9037E-02, + -1.5535E-02, -1.5535E-02, -1.5535E-02, + 2.1052E-01, 1.7648E-01, -6.9244E-02, + -1.6042E-02, -1.6042E-02, -1.6042E-02, + 2.4528E-01, 2.0098E-01, -7.8570E-02, + -1.6142E-02, -1.6142E-02, -1.6142E-02, + 2.8243E-01, 2.2883E-01, -8.9016E-02, + -1.5839E-02, -1.5839E-02, -1.5839E-02 / DATA ((PDFG(K, 1,I,1), I=1,6), K=46,54) / + 3.1265E-01, 2.5357E-01, -9.8025E-02, + -1.5142E-02, -1.5142E-02, -1.5142E-02, + 3.3577E-01, 2.7508E-01, -1.0548E-01, + -1.4116E-02, -1.4116E-02, -1.4116E-02, + 3.5168E-01, 2.9320E-01, -1.1130E-01, + -1.2838E-02, -1.2838E-02, -1.2838E-02, + 3.6037E-01, 3.0783E-01, -1.1542E-01, + -1.1394E-02, -1.1394E-02, -1.1394E-02, + 3.6207E-01, 3.1890E-01, -1.1786E-01, + -9.8719E-03, -9.8719E-03, -9.8719E-03, + 3.5720E-01, 3.2641E-01, -1.1866E-01, + -8.3516E-03, -8.3516E-03, -8.3516E-03, + 3.4638E-01, 3.3041E-01, -1.1789E-01, + -6.9007E-03, -6.9007E-03, -6.9007E-03, + 3.3038E-01, 3.3100E-01, -1.1568E-01, + -5.5691E-03, -5.5691E-03, -5.5691E-03, + 3.1009E-01, 3.2832E-01, -1.1215E-01, + -4.3894E-03, -4.3894E-03, -4.3894E-03 / DATA ((PDFG(K, 1,I,1), I=1,6), K=55,63) / + 2.8647E-01, 3.2257E-01, -1.0746E-01, + -3.3776E-03, -3.3776E-03, -3.3776E-03, + 2.6048E-01, 3.1397E-01, -1.0180E-01, + -2.5362E-03, -2.5362E-03, -2.5362E-03, + 2.0521E-01, 2.8928E-01, -8.8229E-02, + -1.3242E-03, -1.3242E-03, -1.3242E-03, + 1.5110E-01, 2.5661E-01, -7.2907E-02, + -6.1890E-04, -6.1890E-04, -6.1890E-04, + 1.0329E-01, 2.1856E-01, -5.7209E-02, + -2.5513E-04, -2.5513E-04, -2.5513E-04, + 6.4847E-02, 1.7785E-01, -4.2336E-02, + -9.0743E-05, -9.0743E-05, -9.0743E-05, + 3.6774E-02, 1.3717E-01, -2.9226E-02, + -2.6955E-05, -2.6955E-05, -2.6955E-05, + 1.8360E-02, 9.9010E-02, -1.8503E-02, + -6.3659E-06, -6.3659E-06, -6.3659E-06, + 7.7457E-03, 6.5521E-02, -1.0453E-02, + -1.1059E-06, -1.1059E-06, -1.1059E-06 / DATA ((PDFG(K, 1,I,1), I=1,6), K=64,68) / + 2.5752E-03, 3.8380E-02, -5.0282E-03, + -1.2392E-07, -1.2392E-07, -1.2392E-07, + 5.9118E-04, 1.8616E-02, -1.8848E-03, + -6.9809E-09, -6.9809E-09, -6.9809E-09, + 6.9577E-05, 6.4314E-03, -4.5074E-04, + -1.1327E-10, -1.1327E-10, -1.1327E-10, + 1.6199E-06, 9.7723E-04, -3.6260E-05, + -9.0766E-14, -9.0766E-14, -9.0766E-14, + 0.0000E+00, 0.0000E+00, 0.0000E+00, + 0.0000E+00, 0.0000E+00, 0.0000E+00 / DATA ((PDFG(K, 2,I,1), I=1,6), K= 1, 9) / + 8.8033E-07, 4.0257E-05, -1.6594E-05, + -1.7967E-06, -1.7967E-06, -1.7967E-06, + 1.1124E-06, 5.2632E-05, -2.1695E-05, + -2.4624E-06, -2.4624E-06, -2.4624E-06, + 1.4019E-06, 6.8421E-05, -2.8204E-05, + -3.3525E-06, -3.3525E-06, -3.3525E-06, + 1.7756E-06, 8.9027E-05, -3.6697E-05, + -4.5694E-06, -4.5694E-06, -4.5694E-06, + 2.2492E-06, 1.1504E-04, -4.7419E-05, + -6.1777E-06, -6.1777E-06, -6.1777E-06, + 2.9086E-06, 1.5040E-04, -6.1995E-05, + -8.4685E-06, -8.4685E-06, -8.4685E-06, + 3.7920E-06, 1.9552E-04, -8.0594E-05, + -1.1533E-05, -1.1533E-05, -1.1533E-05, + 5.0360E-06, 2.5440E-04, -1.0487E-04, + -1.5723E-05, -1.5723E-05, -1.5723E-05, + 6.7783E-06, 3.2873E-04, -1.3550E-04, + -2.1264E-05, -2.1264E-05, -2.1264E-05 / DATA ((PDFG(K, 2,I,1), I=1,6), K=10,18) / + 9.4871E-06, 4.2978E-04, -1.7715E-04, + -2.9161E-05, -2.9161E-05, -2.9161E-05, + 1.3551E-05, 5.5871E-04, -2.3030E-04, + -3.9729E-05, -3.9729E-05, -3.9729E-05, + 1.9921E-05, 7.2697E-04, -2.9965E-04, + -5.4192E-05, -5.4192E-05, -5.4192E-05, + 2.9726E-05, 9.3936E-04, -3.8720E-04, + -7.3330E-05, -7.3330E-05, -7.3330E-05, + 3.8178E-05, 1.0951E-03, -4.5141E-04, + -8.7889E-05, -8.7889E-05, -8.7889E-05, + 5.0160E-05, 1.2885E-03, -5.3113E-04, + -1.0650E-04, -1.0650E-04, -1.0650E-04, + 6.8982E-05, 1.5502E-03, -6.3898E-04, + -1.3249E-04, -1.3249E-04, -1.3249E-04, + 9.5575E-05, 1.8650E-03, -7.6873E-04, + -1.6485E-04, -1.6485E-04, -1.6485E-04, + 1.3240E-04, 2.2362E-03, -9.2170E-04, + -2.0430E-04, -2.0430E-04, -2.0430E-04 / DATA ((PDFG(K, 2,I,1), I=1,6), K=19,27) / + 1.8462E-04, 2.6841E-03, -1.1063E-03, + -2.5355E-04, -2.5355E-04, -2.5355E-04, + 2.4477E-04, 3.1292E-03, -1.2897E-03, + -3.0401E-04, -3.0401E-04, -3.0401E-04, + 3.3070E-04, 3.6817E-03, -1.5174E-03, + -3.6852E-04, -3.6852E-04, -3.6852E-04, + 4.6636E-04, 4.4293E-03, -1.8255E-03, + -4.5865E-04, -4.5865E-04, -4.5865E-04, + 6.5835E-04, 5.3285E-03, -2.1960E-03, + -5.7082E-04, -5.7082E-04, -5.7082E-04, + 9.2389E-04, 6.3885E-03, -2.6326E-03, + -7.0753E-04, -7.0753E-04, -7.0753E-04, + 1.2990E-03, 7.6678E-03, -3.1595E-03, + -8.7801E-04, -8.7801E-04, -8.7801E-04, + 1.7290E-03, 8.9385E-03, -3.6827E-03, + -1.0524E-03, -1.0524E-03, -1.0524E-03, + 2.3394E-03, 1.0516E-02, -4.3318E-03, + -1.2749E-03, -1.2749E-03, -1.2749E-03 / DATA ((PDFG(K, 2,I,1), I=1,6), K=28,36) / + 3.2951E-03, 1.2649E-02, -5.2094E-03, + -1.5847E-03, -1.5847E-03, -1.5847E-03, + 4.6340E-03, 1.5215E-02, -6.2638E-03, + -1.9680E-03, -1.9680E-03, -1.9680E-03, + 6.4643E-03, 1.8238E-02, -7.5047E-03, + -2.4317E-03, -2.4317E-03, -2.4317E-03, + 9.0167E-03, 2.1885E-02, -8.9994E-03, + -3.0034E-03, -3.0034E-03, -3.0034E-03, + 1.1902E-02, 2.5508E-02, -1.0481E-02, + -3.5801E-03, -3.5801E-03, -3.5801E-03, + 1.5940E-02, 3.0007E-02, -1.2315E-02, + -4.3023E-03, -4.3023E-03, -4.3023E-03, + 2.2145E-02, 3.6098E-02, -1.4788E-02, + -5.2797E-03, -5.2797E-03, -5.2797E-03, + 3.0639E-02, 4.3444E-02, -1.7753E-02, + -6.4395E-03, -6.4395E-03, -6.4395E-03, + 4.1933E-02, 5.2152E-02, -2.1240E-02, + -7.7602E-03, -7.7602E-03, -7.7602E-03 / DATA ((PDFG(K, 2,I,1), I=1,6), K=37,45) / + 5.7154E-02, 6.2776E-02, -2.5452E-02, + -9.2544E-03, -9.2544E-03, -9.2544E-03, + 7.3711E-02, 7.3513E-02, -2.9666E-02, + -1.0601E-02, -1.0601E-02, -1.0601E-02, + 9.5853E-02, 8.7197E-02, -3.4981E-02, + -1.2052E-02, -1.2052E-02, -1.2052E-02, + 1.2784E-01, 1.0654E-01, -4.2418E-02, + -1.3600E-02, -1.3600E-02, -1.3600E-02, + 1.6815E-01, 1.3137E-01, -5.1909E-02, + -1.4850E-02, -1.4850E-02, -1.4850E-02, + 2.0217E-01, 1.5345E-01, -6.0327E-02, + -1.5438E-02, -1.5438E-02, -1.5438E-02, + 2.4044E-01, 1.8013E-01, -7.0484E-02, + -1.5678E-02, -1.5678E-02, -1.5678E-02, + 2.7224E-01, 2.0437E-01, -7.9643E-02, + -1.5537E-02, -1.5537E-02, -1.5537E-02, + 3.0419E-01, 2.3155E-01, -8.9744E-02, + -1.4983E-02, -1.4983E-02, -1.4983E-02 / DATA ((PDFG(K, 2,I,1), I=1,6), K=46,54) / + 3.2814E-01, 2.5534E-01, -9.8288E-02, + -1.4096E-02, -1.4096E-02, -1.4096E-02, + 3.4445E-01, 2.7566E-01, -1.0519E-01, + -1.2943E-02, -1.2943E-02, -1.2943E-02, + 3.5341E-01, 2.9242E-01, -1.1040E-01, + -1.1601E-02, -1.1601E-02, -1.1601E-02, + 3.5539E-01, 3.0557E-01, -1.1390E-01, + 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((PDFG(K, 3,I,1), I=1,6), K=64,68) / + 1.3329E-03, 2.9797E-02, -3.8206E-03, + 8.3521E-07, 8.3521E-07, 8.3521E-07, + 2.9068E-04, 1.3973E-02, -1.3858E-03, + 1.2747E-07, 1.2747E-07, 1.2747E-07, + 3.2915E-05, 4.6213E-03, -3.1789E-04, + 7.6045E-09, 7.6045E-09, 7.6045E-09, + 7.7694E-07, 6.5838E-04, -2.4129E-05, + 3.5468E-11, 3.5468E-11, 3.5468E-11, + 0.0000E+00, 0.0000E+00, 0.0000E+00, + 0.0000E+00, 0.0000E+00, 0.0000E+00 / DATA ((PDFG(K, 4,I,1), I=1,6), K= 1, 9) / + 4.1668E-06, 4.3613E-05, -1.7978E-05, + -2.0246E-06, -2.0246E-06, -2.0246E-06, + 5.3022E-06, 5.7019E-05, -2.3504E-05, + -2.7762E-06, -2.7762E-06, -2.7762E-06, + 6.7456E-06, 7.4125E-05, -3.0555E-05, + -3.7829E-06, -3.7829E-06, -3.7829E-06, + 8.6486E-06, 9.6449E-05, -3.9756E-05, + -5.1620E-06, -5.1620E-06, -5.1620E-06, + 1.1116E-05, 1.2463E-04, -5.1372E-05, + -6.9895E-06, -6.9895E-06, -6.9895E-06, + 1.4628E-05, 1.6294E-04, -6.7163E-05, + -9.6005E-06, -9.6005E-06, -9.6005E-06, + 1.9424E-05, 2.1182E-04, -8.7311E-05, + -1.3105E-05, 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