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F1F209_rss.f
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ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
c F1F209.f
c Package of FORTRAN subroutine describing fits to inclusive inelastic
c electron scattering from proton, neutron, deuteron, or heaviere nuclei
c Proton fit is described in:
c M.E. Christy and P.E. Bosted, ``Empirical Fit to Precision
c Inclusive Electron-Proton Cross Sections in the Resonance Region'',
c (arXiv:0712.3731). Submitted to Phys. Rev. C.
c Deuteron (and netron) fit is described in:
c P.E. Bosted and M.E. Christy, ``Empirical Fit to Inelastic
c Electron-Deuteron and Electron-Neutron
c Resonance Region Transverse Cross Sections,
c (arXiv:0711.0159), publichished in Phys. Rev. C 77, 065206 (2008). (
c New fits for A>2 by Vahe M. and Peter B. (to be publsihed).
c
c routine in this package:
c
c subroutine F1F2IN09. Returns inelastic F1, F2, and R for
c nucleus with charge Z and atomic number A
c for given value of Q2 and W**2. F1 and F2
c are per nucleus (not per nucleon).
c subroutine pind09. Returns F1, R, Sigma_L, and Sigma_T
c for a proton with Fermi motion of a detueron
c subroutine resd09. Returns F1 for a deuteron.
c subroutine resder. Returns error on F1 from fit.
c Requires auxillary file "F1F207D2emat.dat"
c subroutine resmodd09. Returns F1 for average of a free
c proton and neutron
c subroutine christy507. Returns F1, R, sigma_L, and
c sigma_T for the free proton.
c subroutine resmod507. Returns sigma_L or sigma_T
c (called by christy507)
c subroutine mec. Called by resd09 to get extra terms
c for dip region between quasi-elastic and Delta
c funtion fitemc_09. Fit to "EMC effect" used to
c get F1 and F2 for A>2
c
c subroutine F1F2QE09. Returns quasi-elastic F1, F2 for
c nucleus with charge Z and atomic number A
c for given value of Q2 and W**2
c
C=======================================================================
SUBROUTINE F1F2IN09(Z, A, QSQ, Wsq, F1, F2, rc)
!--------------------------------------------------------------------
! Fit to inelastic cross sections for A(e,e')X
! valid for all W<3 GeV and all Q2<10 GeV2
!
! Inputs: Z, A (real*8) are Z and A of nucleus
! (use Z=0., A=1. to get free neutron)
c Qsq (real*8) is 4-vector momentum transfer squared (positive in
c chosen metric)
c Wsq (real*8) is invarinat mass squared of final state calculated
c assuming electron scattered from a free proton
c
c outputs: F1, F2 (real*8) are structure functions per nucleus
! Version of 10/20/2006 P. Bosted
!--------------------------------------------------------------------
implicit none
REAL*8 P(0:23)
COMMON/PARCORR/P
real*8 Z,A,qsq,wsq,w,f1c,x
real*8 avgn,nu,siglp,sigtp,F1pp,F1dp
REAL*8 W1,W2,sigt,rc,F1,F2,sigl,F1d, F1p,qv
REAL*8 DW2DPF,WSQP,pf,kf,es,dw2des,fyuse
real a4, x4, fitemc_09, emcfac
logical goodfit
INTEGER ISM
! This is for exp(-xx**2/2.), from teste.f
real*8 xxp(99)/
> -3.000,-2.939,-2.878,-2.816,-2.755,-2.694,-2.633,-2.571,-2.510,
> -2.449,-2.388,-2.327,-2.265,-2.204,-2.143,-2.082,-2.020,-1.959,
> -1.898,-1.837,-1.776,-1.714,-1.653,-1.592,-1.531,-1.469,-1.408,
> -1.347,-1.286,-1.224,-1.163,-1.102,-1.041,-0.980,-0.918,-0.857,
> -0.796,-0.735,-0.673,-0.612,-0.551,-0.490,-0.429,-0.367,-0.306,
> -0.245,-0.184,-0.122,-0.061, 0.000, 0.061, 0.122, 0.184, 0.245,
> 0.306, 0.367, 0.429, 0.490, 0.551, 0.612, 0.673, 0.735, 0.796,
> 0.857, 0.918, 0.980, 1.041, 1.102, 1.163, 1.224, 1.286, 1.347,
> 1.408, 1.469, 1.531, 1.592, 1.653, 1.714, 1.776, 1.837, 1.898,
> 1.959, 2.020, 2.082, 2.143, 2.204, 2.265, 2.327, 2.388, 2.449,
> 2.510, 2.571, 2.633, 2.694, 2.755, 2.816, 2.878, 2.939, 3.000/
! these are 100x bigger for convenience
real*8 fyp(99)/
> 0.0272,0.0326,0.0390,0.0464,0.0551,0.0651,0.0766,0.0898,0.1049,
> 0.1221,0.1416,0.1636,0.1883,0.2159,0.2466,0.2807,0.3182,0.3595,
> 0.4045,0.4535,0.5066,0.5637,0.6249,0.6901,0.7593,0.8324,0.9090,
> 0.9890,1.0720,1.1577,1.2454,1.3349,1.4254,1.5163,1.6070,1.6968,
> 1.7849,1.8705,1.9529,2.0313,2.1049,2.1731,2.2350,2.2901,2.3379,
> 2.3776,2.4090,2.4317,2.4454,2.4500,2.4454,2.4317,2.4090,2.3776,
> 2.3379,2.2901,2.2350,2.1731,2.1049,2.0313,1.9529,1.8705,1.7849,
> 1.6968,1.6070,1.5163,1.4254,1.3349,1.2454,1.1577,1.0720,0.9890,
> 0.9090,0.8324,0.7593,0.6901,0.6249,0.5637,0.5066,0.4535,0.4045,
> 0.3595,0.3182,0.2807,0.2466,0.2159,0.1883,0.1636,0.1416,0.1221,
> 0.1049,0.0898,0.0766,0.0651,0.0551,0.0464,0.0390,0.0326,0.0272/
integer ia
real PM/0.93828/
! deuteron fit parameters
real*8 xvald0(50)/
> 0.1964E+01, 0.1086E+01, 0.5313E-02, 0.1265E+01, 0.8000E+01,
> 0.2979E+00, 0.1354E+00, 0.2200E+00, 0.8296E-01, 0.9578E-01,
> 0.1094E+00, 0.3794E+00, 0.8122E+01, 0.5189E+01, 0.3290E+01,
> 0.1870E+01, 0.6110E+01,-0.3464E+02, 0.9000E+03, 0.1717E+01,
> 0.4335E-01, 0.1915E+03, 0.2232E+00, 0.2119E+01, 0.2088E+01,
> -0.3029E+00, 0.2012E+00, 0.1104E-02, 0.2276E-01,-0.4562E+00,
> 0.2397E+00, 0.1204E+01, 0.2321E-01, 0.5419E+03, 0.2247E+00,
> 0.2168E+01, 0.2266E+03, 0.7649E-01, 0.1457E+01, 0.1318E+00,
> -0.7534E+02, 0.1776E+00, 0.1636E+01, 0.1350E+00,-0.5596E-02,
> 0.5883E-02, 0.1934E+01, 0.3800E+00, 0.3319E+01, 0.1446E+00/
cc
real*8 F1M
logical DEBUG/.TRUE./
IA = int(A)
avgN = A - Z
nu = (wsq - pm**2 + qsq) / 2. / pm
qv = sqrt(nu**2 + qsq)
if(Wsq.le.0.0) W = 0.0
W = sqrt(Wsq)
x = QSQ / (2.0 * pm * nu)
if(Wsq.le.0.0) x = 0.0
! Cross section for proton or neutron
W1 = 0.
W2 = 0.
IF(IA .lt. 2 .and. wsq.gt.1.155) THEN
call CHRISTY507(Wsq,Qsq,F1p,Rc,sigt,sigl)
! If neutron, subtract proton from deuteron. Factor of two to
! convert from per nucleon to per deuteron
if(Z .lt. 0.5) then
call resmodd09(wsq,qsq,xvald0,F1d)
F1p = F1d * 2.0 - F1p
endif
W1 = F1p / PM
W2 = W1 * (1. + Rc) / (1. + nu**2 / qsq)
ENDIF
! For deuteron
if(IA .eq. 2) then
c get Fermi-smeared R from Erics proton fit
call pind09(Wsq, Qsq, F1c, Rc, sigt, sigl)
c get fit to F1 in deuteron, per nucleon
call resd09(qsq, wsq, xvald0, F1d)
c convert to W1 per deuteron
W1 = F1d / PM * 2.0
W2 = W1 * (1. + Rc) / (1. + nu**2 / qsq)
endif
! For nuclei
IF(IA.gt.2) then
sigt = 0.
sigl = 0.
F1d = 0.
F1p = 0.
! Modifed to use Superscaling from Sick, Donnelly, Maieron,
! nucl-th/0109032
if(IA.eq.2) kf=0.085
if(iA.eq.2) Es=0.0022
! changed 4/09
if(IA.eq.3) kf=0.115
if(iA.eq.3) Es=0.001
! changed 4/09
if(IA.gt.3) kf=0.19
if(iA.gt.3) Es=0.017
if(IA.gt.7) kf=0.228
if(iA.gt.7) Es=0.020
c changed 5/09
if(iA.gt.7) Es=0.0165
if(IA.gt.16) kf=0.230
if(iA.gt.16) Es=0.025
if(IA.gt.25) kf=0.236
if(iA.gt.25) Es=0.018
if(IA.gt.38) kf=0.241
if(iA.gt.38) Es=0.028
if(IA.gt.55) kf=0.241
if(iA.gt.55) Es=0.023
if(IA.gt.60) kf=0.245
if(iA.gt.60) Es=0.028
! changed 5/09
if(iA.gt.55) Es=0.018
! adjust pf to give right width based on kf
pf = 0.5 * kf
! assume this is 2 * pf * qv
DW2DPF = 2. * qv
dw2des = 2. * (nu + PM)
! switched to using 99 bins!
cc do ism = 1,15
cc fyuse = fy(ism)
cc WSQP = WSQ + XX(ISM) * PF * DW2DPF - es * dw2des
do ism = 1,99
fyuse = fyp(ism)/100.
WSQP = WSQ + XXp(ISM) * PF * DW2DPF - es * dw2des
IF(WSQP.GT. 1.159) THEN
call CHRISTY507(Wsqp,Qsq,F1pp,Rc,sigtp,siglp)
call resmodd09(wsqp,qsq,xvald0,F1dp)
F1d = F1d + F1dp * Fyuse
F1p = F1p + F1pp * Fyuse
sigt = sigt + sigtp * Fyuse
sigl = sigl + siglp * Fyuse
ENDIF
ENDDO
Rc = 0.
if(sigt .gt. 0.) Rc = sigl / sigt
W1 = (2. * Z * F1d + (A - 2. * Z) * (2. * F1d - F1p)) / PM
W1= W1*(1.0+P(13)*x+P(14)*x**2+P(15)*x**3+P(16)*x**4+P(17)*x**5)
cc if(W .GT. 1.3)
if(W .GT. 0.0)
> W1=W1*(1.0+(P(20)*W+P(21)*W**2)/(1.0+P(22)*QSQ))**2
CALL MEC2009( Z , A , qsq , wsq , F1M )
W1 = W1 + F1M
if(Wsq .gt.0.0 ) Rc = Rc * ( 1.0 + P(6) + P(23)*A )
W2 = W1 * (1. + Rc) / (1. + nu**2 / qsq)
DEBUG=.FALSE.
IF( W1 .LE. 0.0 .AND. DEBUG ) THEN
write(*,*) 'test = ', Z,A,W,QSQ,x,F1M,W1
write(*,*) 'test1 = ',
> (1.0+(P(20)*W+P(21)*W**2)/(1.0+P(22)*QSQ)),
> (1.0+P(13)*x+P(14)*x**2+P(15)*x**3+P(16)*x**4+P(17)*x**5)
ENDIF
ENDIF
A4 = A
x4 = qsq / 2. / pm / nu
emcfac = fitemc_09(x4, a4, goodfit)
F1 = pm * W1 * emcfac
F2 = nu * W2 * emcfac
RETURN
END
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
SUBROUTINE MEC2009(z,a,q2,w2,f1)
! fit to low q2 dip region: purefly empirical
! assume contribution is pure transverse
implicit none
real*8 z,a,q2,w2,f1,am/0.9383/,w,nu
REAL*8 P(0:23)
COMMON/PARCORR/P
real*8 p18
real*8 x, f1corr
f1 = 0.0
if(w2.le.0.0) return
w = sqrt(w2)
nu = (w2 - am**2 + q2) / 2. / am
x = q2 / (2.0 * am * nu )
if(a.lt.2.5) return
p18 = p(18)
! special case for 3He
if(a.gt.2.5 .and. a.lt.3.5) p18 = 70
! special case for 4He
if(a.gt.3.5 .and. a.lt.4.5) p18 = 170.
! new values for C, Al, Cu
if(a.gt.4.5) p18 = 215.
if(a.gt.20.) p18 = 235.
if(a.gt.50.) p18 = 230.
f1corr = P(0)*exp((-1.0)*((W-P(1))**2)/(P(2)))/
> ((1.0 + MAX( 0.3 , Q2 ) / P(3) ) ** P(4) )*nu**P(5)
> *( 1.0 + P18 * A ** ( 1.0 + P(19) * x ) )
f1 = f1corr
if(f1 .le.1.0E-9 ) f1=0.0
c write(*,*) 'vahe1= ', A, W*W, Q2, f1corr
return
end
SUBROUTINE F1F2QE09(Z, A, qsq, wsq, F1, F2)
c
C Calculates quasielastic A(e,e')X structure functions F1 and F2 PER NUCLEUS
c for A>2 uses superscaling from Sick, Donnelly, Maieron, nucl-th/0109032
c for A=2 uses pre-integrated Paris wave function (see ~bosted/smear.f)
c coded by P. Bosted August to October, 2006
c
c input: Z, A (real*8) Z and A of nucleus (shoud be 2.0D0 for deueron)
c Qsq (real*8) is 4-vector momentum transfer squared (positive in
c chosen metric)
c Wsq (real*8) is invarinat mass squared of final state calculated
c assuming electron scattered from a free proton
c
c outputs: F1, F2 (real*8) are structure functions per nucleus
c
c Note: Deuteron agrees well with Laget (see ~bosted/eg1b/laget.f) for
c a) Q2<1 gev**2 and dsig > 1% of peak: doesnt describe tail at high W
c b) Q2>1 gev**2 on wings of q.e. peak. But, this model is up
c to 50% too big at top of q.e. peak. BUT, F2 DOES agree very
c nicely with Osipenko et al data from CLAS, up to 5 GeV**2
IMPLICIT NONE
REAL*8 P(0:23)
COMMON/PARCORR/P
REAL*8 Z, A, avgN, F1, F2, wsq, qsq
REAL*8 amp/0.93828/, amd/1.8756/
REAL*8 PAULI_SUP1, PAULI_SUP2
REAL*8 GEP, GEN, GMP, GMN, Q, Q3, Q4
REAL*8 RMUP/ 2.792782/ ,RMUN/ -1.913148 /
real*8 pz, nu, dpz, pznom, pzmin
real*8 qv, TAU, FY, dwmin, w2p
real kappa, lam, lamp, taup, squigglef, psi, psip, nuL, nut
real kf, es, GM2bar, GE2bar, W1bar, W2bar, Delta, GL, GT
integer IA, izz, izzmin, izp, izznom, izdif
c Look up tables for deuteron case
real*8 fyd(200)/
> 0.00001,0.00002,0.00003,0.00005,0.00006,0.00009,0.00010,0.00013,
> 0.00015,0.00019,0.00021,0.00026,0.00029,0.00034,0.00038,0.00044,
> 0.00049,0.00057,0.00062,0.00071,0.00078,0.00089,0.00097,0.00109,
> 0.00119,0.00134,0.00146,0.00161,0.00176,0.00195,0.00211,0.00232,
> 0.00252,0.00276,0.00299,0.00326,0.00352,0.00383,0.00412,0.00447,
> 0.00482,0.00521,0.00560,0.00603,0.00648,0.00698,0.00747,0.00803,
> 0.00859,0.00921,0.00985,0.01056,0.01126,0.01205,0.01286,0.01376,
> 0.01467,0.01569,0.01671,0.01793,0.01912,0.02049,0.02196,0.02356,
> 0.02525,0.02723,0.02939,0.03179,0.03453,0.03764,0.04116,0.04533,
> 0.05004,0.05565,0.06232,0.07015,0.07965,0.09093,0.10486,0.12185,
> 0.14268,0.16860,0.20074,0.24129,0.29201,0.35713,0.44012,0.54757,
> 0.68665,0.86965,1.11199,1.43242,1.86532,2.44703,3.22681,4.24972,
> 5.54382,7.04016,8.48123,9.40627,9.40627,8.48123,7.04016,5.54382,
> 4.24972,3.22681,2.44703,1.86532,1.43242,1.11199,0.86965,0.68665,
> 0.54757,0.44012,0.35713,0.29201,0.24129,0.20074,0.16860,0.14268,
> 0.12185,0.10486,0.09093,0.07965,0.07015,0.06232,0.05565,0.05004,
> 0.04533,0.04116,0.03764,0.03453,0.03179,0.02939,0.02723,0.02525,
> 0.02356,0.02196,0.02049,0.01912,0.01793,0.01671,0.01569,0.01467,
> 0.01376,0.01286,0.01205,0.01126,0.01056,0.00985,0.00921,0.00859,
> 0.00803,0.00747,0.00698,0.00648,0.00603,0.00560,0.00521,0.00482,
> 0.00447,0.00412,0.00383,0.00352,0.00326,0.00299,0.00276,0.00252,
> 0.00232,0.00211,0.00195,0.00176,0.00161,0.00146,0.00134,0.00119,
> 0.00109,0.00097,0.00089,0.00078,0.00071,0.00062,0.00057,0.00049,
> 0.00044,0.00038,0.00034,0.00029,0.00026,0.00021,0.00019,0.00015,
> 0.00013,0.00010,0.00009,0.00006,0.00005,0.00003,0.00002,0.00001/
real*8 avp2(200)/
> 1.0,0.98974,0.96975,0.96768,0.94782,0.94450,0.92494,0.92047,
> 0.90090,0.89563,0.87644,0.87018,0.85145,0.84434,0.82593,0.81841,
> 0.80021,0.79212,0.77444,0.76553,0.74866,0.73945,0.72264,0.71343,
> 0.69703,0.68740,0.67149,0.66182,0.64631,0.63630,0.62125,0.61154,
> 0.59671,0.58686,0.57241,0.56283,0.54866,0.53889,0.52528,0.51581,
> 0.50236,0.49291,0.47997,0.47063,0.45803,0.44867,0.43665,0.42744,
> 0.41554,0.40656,0.39511,0.38589,0.37488,0.36611,0.35516,0.34647,
> 0.33571,0.32704,0.31656,0.30783,0.29741,0.28870,0.27820,0.26945,
> 0.25898,0.25010,0.23945,0.23023,0.21943,0.20999,0.19891,0.18911,
> 0.17795,0.16793,0.15669,0.14667,0.13553,0.12569,0.11504,0.10550,
> 0.09557,0.08674,0.07774,0.06974,0.06184,0.05484,0.04802,0.04203,
> 0.03629,0.03129,0.02654,0.02247,0.01867,0.01545,0.01251,0.01015,
> 0.00810,0.00664,0.00541,0.00512,0.00512,0.00541,0.00664,0.00810,
> 0.01015,0.01251,0.01545,0.01867,0.02247,0.02654,0.03129,0.03629,
> 0.04203,0.04802,0.05484,0.06184,0.06974,0.07774,0.08674,0.09557,
> 0.10550,0.11504,0.12569,0.13553,0.14667,0.15669,0.16793,0.17795,
> 0.18911,0.19891,0.20999,0.21943,0.23023,0.23945,0.25010,0.25898,
> 0.26945,0.27820,0.28870,0.29741,0.30783,0.31656,0.32704,0.33571,
> 0.34647,0.35516,0.36611,0.37488,0.38589,0.39511,0.40656,0.41554,
> 0.42744,0.43665,0.44867,0.45803,0.47063,0.47997,0.49291,0.50236,
> 0.51581,0.52528,0.53889,0.54866,0.56283,0.57241,0.58686,0.59671,
> 0.61154,0.62125,0.63630,0.64631,0.66182,0.67149,0.68740,0.69703,
> 0.71343,0.72264,0.73945,0.74866,0.76553,0.77444,0.79212,0.80021,
> 0.81841,0.82593,0.84434,0.85145,0.87018,0.87644,0.89563,0.90090,
> 0.92047,0.92494,0.94450,0.94782,0.96768,0.96975,0.98974,1.0/
real*8 y,R
! return if proton: future change this to allow for
! equivalent W resolution
F1 = 0.
F2 = 0.
IA = int(A)
avgN = A - Z
IF (iA.EQ.1) RETURN
! some kinematic factors. Return if nu or qsq is negative
Nu = (wsq - amp**2 + qsq) / 2. / amp
if(nu .le. 0.0 .or. qsq .lt. 0.) return
TAU = QSQ / 4.0 / amp**2
qv = sqrt(nu**2 + qsq)
! Bosted fit for nucleon form factors Phys. Rev. C 51, p. 409 (1995)
Q = sqrt(QSQ)
Q3 = QSQ * Q
Q4 = QSQ**2
GEP = 1./ (1. + 0.14 * Q + 3.01 * QSQ + 0.02 * Q3 +
> 1.20 * Q4 + 0.32 * Q**5)
GMP = RMUP * GEP
GMN = RMUN / (1.- 1.74 * Q + 9.29 * QSQ - 7.63 * Q3 +
> 4.63 * Q4)
GEN = 1.25 * RMUN * TAU / (1. + 18.3 * TAU) /
> (1. + QSQ / 0.71)**2
! Get kf and Es from superscaling from Sick, Donnelly, Maieron,
c nucl-th/0109032
if(IA.eq.2) kf=0.085
if(iA.eq.2) Es=0.0022
! changed 4/09
if(IA.eq.3) kf=0.115
if(iA.eq.3) Es=0.001
! changed 4/09
if(IA.gt.3) kf=0.19
if(iA.gt.3) Es=0.017
if(IA.gt.7) kf=0.228
if(iA.gt.7) Es=0.020
c changed 5/09
if(iA.gt.7) Es=0.0165
if(IA.gt.16) kf=0.230
if(iA.gt.16) Es=0.025
if(IA.gt.25) kf=0.236
if(iA.gt.25) Es=0.018
if(IA.gt.38) kf=0.241
if(iA.gt.38) Es=0.028
if(IA.gt.55) kf=0.241
if(iA.gt.55) Es=0.023
if(IA.gt.60) kf=0.245
if(iA.gt.60) Es=0.028
! changed 5/09
if(iA.gt.55) Es=0.018
! Pauli suppression model from Tsai RMP 46,816(74) eq.B54
IF((QV .GT. 2.* kf).OR.(iA.EQ.1)) THEN
PAULI_SUP2 =1.0
ELSE
PAULI_SUP2 = 0.75 * (QV / kf) * (1.0 - ((QV / kf)**2)/12.)
ENDIF
PAULI_SUP1 = PAULI_SUP2
! structure functions with off shell factors
kappa = qv / 2. / amp
lam = nu / 2. / amp
lamp = lam - Es / 2. / amp
taup = kappa**2 - lamp**2
squigglef = sqrt(1. + (kf/amp)**2) -1.
! Very close to treshold, could have a problem
if(1.+lamp.le.0.) return
if(taup * (1. + taup).le.0.) return
psi = (lam - tau ) / sqrt(squigglef) /
> sqrt((1.+lam )* tau + kappa * sqrt(tau * (1. + tau)))
psip = (lamp - taup) / sqrt(squigglef) /
> sqrt((1.+lamp)*taup + kappa * sqrt(taup * (1. + taup)))
nuL = (tau / kappa**2)**2
c changed definition of nuT from
c nuT = tau / 2. / kappa**2 + tan(thr/2.)**2
c to this, in order to separate out F1 and F2 (F1 prop. to tan2 term)
nuT = tau / 2. / kappa**2
GM2bar = Pauli_sup1 * (Z * GMP**2 + avgN * GMN**2)
GE2bar = Pauli_sup2 * (Z * GEP**2 + avgN * GEN**2)
W1bar = tau * GM2bar
W2bar = (GE2bar + tau * GM2bar) / (1. + tau)
Delta = squigglef * (1. - psi**2) * (
> sqrt(tau * (1.+tau)) / kappa + squigglef/3. *
> (1. - psi**2) * tau / kappa**2)
GL = kappa**2 / tau * (GE2bar + Delta * W2bar) /
> 2. / kappa / (1. + squigglef * (1. + psi**2) / 2.)
GT = (2. * tau * GM2bar + Delta * W2bar) /
> 2. / kappa / (1. + squigglef * (1. + psi**2) / 2.)
c added to prevent negative xsections:
gt = max(0., gt)
! from Maria Barbaro: see Amaro et al., PRC71,015501(2005).
FY = 1.5576 / (1. + 1.7720**2 * (psip + 0.3014)**2) /
> (1. + exp((-2.4291) * psip)) / kf
! Use PWIA and Paris W.F. for deuteron to get better FY
if(IA.eq.2) then
! value assuming average p2=0.
pz = (qsq - 2. * amp * nu ) / 2. / qv
izz = int((pz + 1.0) / 0.01) + 1
izz = min(200,max(1,izz))
izznom = izz
! ignoring energy term, estimate change in pz to compensate
! for avp2 term
dpz = avp2(izznom) / 2. / qv
izdif = dpz * 150.
dwmin=1.E6
izzmin=0
do izp = izznom, min(200, max(1, izznom + izdif))
pz = -1. + 0.01 * (izp-0.5)
c *** this version gives worse agreement with laget than
c w2p = (amd + nu - sqrt(amp**2 + avp2(izp)))**2 -
c > qv**2 + 2. * qv * pz - avp2(izp)
c this version!
w2p = (amd + nu - amp )**2 -
> qv**2 + 2. * qv * pz - avp2(izp)
c if passed first minimum, quit looking so don't find second one
if(abs(w2p - amp**2).gt.dwmin) goto 11
if(abs(w2p - amp**2).lt.dwmin) then
dwmin = abs(w2p - amp**2)
izzmin = izp
endif
enddo
11 izz = min(199,max(2,izzmin))
! search for minimum in 1/10th bins locally
pznom = -1. + 0.01 * (izz-0.5)
dwmin=1.E6
do izp = 1,19
pz = pznom - 0.01 + 0.001 * izp
c *** this version gives worse agreement with laget than
c w2p = (amd + nu - sqrt(amp**2 + avp2(izz)))**2 -
c > qv**2 + 2. * qv * pz - avp2(izz)
c this version!
w2p = (amd + nu - amp )**2 -
> qv**2 + 2. * qv * pz - avp2(izz)
if(abs(w2p - amp**2).lt.dwmin) then
dwmin = abs(w2p - amp**2)
pzmin = pz
endif
enddo
if(dwmin.ge.1.e6.or.abs(pznom-pzmin).gt.0.01)
> write(6,'(1x,''error in dwmin,pzmin'',3i4,6f7.3)')
> izznom,izzmin,izz,qsq,wsq,w2p,dwmin/1.e6,pzmin,pznom
if(pzmin.lt.pznom) then
fy = fyd(izz) - (fyd(izz-1) - fyd(izz)) *
> (pzmin - pznom) / 0.01
else
fy = fyd(izz) + (fyd(izz+1) - fyd(izz)) *
> (pzmin - pznom) / 0.01
endif
endif
c final results
F2 = nu * FY * (nuL * GL + nuT * GT)
F1 = amp * FY * GT / 2.
if(F1.LT.0.0) F1 = 0.
if(nu.gt.0. .and.f1.gt.0.) then
R = (F2 / nu) / (F1 / amp) * (1. + nu**2 / qsq) - 1.0
else
r = 0.4/qsq
endif
c apply correction factors
if(A.gt.2) then
y = (wsq -amp**2) / qv
c F1 = F1 * (1. + pb(8) + pb(9) * y +
c > pb(10)*y**2 + pb(11)*y**3 + pb(12)*y**4 )
c R = R * (1. + pb(13))
c F2 = nu * F1/amp * (1. + R) / (1. + nu**2/qsq)
cc correction to correction Vahe
if(wsq.gt.0.0) then
F1=F1*(1.0+P(7)+P(8)*y+P(9)*y**2 +P(10)*y**3 +P(11)*y**4)
R = R * ( 1.0 + P(12) )
F2 = nu * F1/amp * (1. + R) / (1. + nu**2/qsq)
if(F1.LT.0.0) F1=0.0
endif
endif
return
end
BLOCK DATA CORRECTION
REAL*8 P(0:23)
COMMON/PARCORR/P
c DATA P/
c c 5.1141e-02, 9.9343e-01, 5.3317e-02, 1.3949e+00,
c c 5.9993e+00, -2.9393e-01, 9.9316e-02, 1.0935e-02,
c c 3.7697e-01, 1.3542e+00, -7.4618e+00, 4.3540e+00,
c c -3.7911e-01, 3.5105e-01, -1.8903e+00, 4.9139e+00,
c c -5.9923e+00, 2.5021e+00, 1.9943e+01, -5.5879e-02,
c c 3.1914e-01, -1.8657e-01, 3.2746e+01, 4.9801e-03/
DATA P/
c 5.1377e-03, 9.8071e-01, 4.6379e-02, 1.6433e+00,
c 6.9826e+00, -2.2655e-01, 1.1095e-01, 2.7945e-02,
c 4.0643e-01, 1.6076e+00, -7.5460e+00, 4.4418e+00,
c -3.7464e-01, 1.0414e-01, -2.6852e-01, 9.6653e-01,
c -1.9055e+00, 9.8965e-01, 2.0613e+02, -4.5536e-02,
c 2.4902e-01, -1.3728e-01, 2.9201e+01, 4.9280e-03/
END
subroutine pind09(W2,Q2,F1,R,sigt,sigl)
! Calculate proton with Fermi smearing of a deuteron
implicit none
real*8 q2,w2,F1,R,sigt,sigl,am/0.9383/,nu,qv,F1p,Rp,sigtp,siglp
real*8 amd/1.8756/,w2p,pz
integer ism
real*8 fyd(20)/ 0.4965, 0.4988, 0.4958, 0.5008, 0.5027, 0.5041,
> 0.5029, 0.5034, 0.4993, 0.5147, 0.5140, 0.4975, 0.5007, 0.4992,
> 0.4994, 0.4977, 0.5023, 0.4964, 0.4966, 0.4767/
real*8 avpz(20)/-0.1820,-0.0829,-0.0590,-0.0448,-0.0345,-0.0264,
> -0.0195,-0.0135,-0.0079,-0.0025, 0.0029, 0.0083, 0.0139, 0.0199,
> 0.0268, 0.0349, 0.0453, 0.0598, 0.0844, 0.1853/
real*8 avp2(20)/ 0.0938, 0.0219, 0.0137, 0.0101, 0.0081, 0.0068,
> 0.0060, 0.0054, 0.0051, 0.0049, 0.0050, 0.0051, 0.0055, 0.0060,
> 0.0069, 0.0081, 0.0102, 0.0140, 0.0225, 0.0964/
c Look up tables for deuteron in fine bins for sub threshold
real*8 fydf(200)/
> 0.00001,0.00002,0.00003,0.00005,0.00006,0.00009,0.00010,0.00013,
> 0.00015,0.00019,0.00021,0.00026,0.00029,0.00034,0.00038,0.00044,
> 0.00049,0.00057,0.00062,0.00071,0.00078,0.00089,0.00097,0.00109,
> 0.00119,0.00134,0.00146,0.00161,0.00176,0.00195,0.00211,0.00232,
> 0.00252,0.00276,0.00299,0.00326,0.00352,0.00383,0.00412,0.00447,
> 0.00482,0.00521,0.00560,0.00603,0.00648,0.00698,0.00747,0.00803,
> 0.00859,0.00921,0.00985,0.01056,0.01126,0.01205,0.01286,0.01376,
> 0.01467,0.01569,0.01671,0.01793,0.01912,0.02049,0.02196,0.02356,
> 0.02525,0.02723,0.02939,0.03179,0.03453,0.03764,0.04116,0.04533,
> 0.05004,0.05565,0.06232,0.07015,0.07965,0.09093,0.10486,0.12185,
> 0.14268,0.16860,0.20074,0.24129,0.29201,0.35713,0.44012,0.54757,
> 0.68665,0.86965,1.11199,1.43242,1.86532,2.44703,3.22681,4.24972,
> 5.54382,7.04016,8.48123,9.40627,9.40627,8.48123,7.04016,5.54382,
> 4.24972,3.22681,2.44703,1.86532,1.43242,1.11199,0.86965,0.68665,
> 0.54757,0.44012,0.35713,0.29201,0.24129,0.20074,0.16860,0.14268,
> 0.12185,0.10486,0.09093,0.07965,0.07015,0.06232,0.05565,0.05004,
> 0.04533,0.04116,0.03764,0.03453,0.03179,0.02939,0.02723,0.02525,
> 0.02356,0.02196,0.02049,0.01912,0.01793,0.01671,0.01569,0.01467,
> 0.01376,0.01286,0.01205,0.01126,0.01056,0.00985,0.00921,0.00859,
> 0.00803,0.00747,0.00698,0.00648,0.00603,0.00560,0.00521,0.00482,
> 0.00447,0.00412,0.00383,0.00352,0.00326,0.00299,0.00276,0.00252,
> 0.00232,0.00211,0.00195,0.00176,0.00161,0.00146,0.00134,0.00119,
> 0.00109,0.00097,0.00089,0.00078,0.00071,0.00062,0.00057,0.00049,
> 0.00044,0.00038,0.00034,0.00029,0.00026,0.00021,0.00019,0.00015,
> 0.00013,0.00010,0.00009,0.00006,0.00005,0.00003,0.00002,0.00001/
real*8 avp2f(200)/
> 1.0,0.98974,0.96975,0.96768,0.94782,0.94450,0.92494,0.92047,
> 0.90090,0.89563,0.87644,0.87018,0.85145,0.84434,0.82593,0.81841,
> 0.80021,0.79212,0.77444,0.76553,0.74866,0.73945,0.72264,0.71343,
> 0.69703,0.68740,0.67149,0.66182,0.64631,0.63630,0.62125,0.61154,
> 0.59671,0.58686,0.57241,0.56283,0.54866,0.53889,0.52528,0.51581,
> 0.50236,0.49291,0.47997,0.47063,0.45803,0.44867,0.43665,0.42744,
> 0.41554,0.40656,0.39511,0.38589,0.37488,0.36611,0.35516,0.34647,
> 0.33571,0.32704,0.31656,0.30783,0.29741,0.28870,0.27820,0.26945,
> 0.25898,0.25010,0.23945,0.23023,0.21943,0.20999,0.19891,0.18911,
> 0.17795,0.16793,0.15669,0.14667,0.13553,0.12569,0.11504,0.10550,
> 0.09557,0.08674,0.07774,0.06974,0.06184,0.05484,0.04802,0.04203,
> 0.03629,0.03129,0.02654,0.02247,0.01867,0.01545,0.01251,0.01015,
> 0.00810,0.00664,0.00541,0.00512,0.00512,0.00541,0.00664,0.00810,
> 0.01015,0.01251,0.01545,0.01867,0.02247,0.02654,0.03129,0.03629,
> 0.04203,0.04802,0.05484,0.06184,0.06974,0.07774,0.08674,0.09557,
> 0.10550,0.11504,0.12569,0.13553,0.14667,0.15669,0.16793,0.17795,
> 0.18911,0.19891,0.20999,0.21943,0.23023,0.23945,0.25010,0.25898,
> 0.26945,0.27820,0.28870,0.29741,0.30783,0.31656,0.32704,0.33571,
> 0.34647,0.35516,0.36611,0.37488,0.38589,0.39511,0.40656,0.41554,
> 0.42744,0.43665,0.44867,0.45803,0.47063,0.47997,0.49291,0.50236,
> 0.51581,0.52528,0.53889,0.54866,0.56283,0.57241,0.58686,0.59671,
> 0.61154,0.62125,0.63630,0.64631,0.66182,0.67149,0.68740,0.69703,
> 0.71343,0.72264,0.73945,0.74866,0.76553,0.77444,0.79212,0.80021,
> 0.81841,0.82593,0.84434,0.85145,0.87018,0.87644,0.89563,0.90090,
> 0.92047,0.92494,0.94450,0.94782,0.96768,0.96975,0.98974,1.0/
nu = (w2 - am**2 + q2) / 2. / am
qv = sqrt(nu**2 + q2)
F1=0.
R=0.
sigt=0.
sigl=0.
! Do fast 20 bins if abvoe threshold
if(w2.gt.1.30) then
do ism = 1,20
w2p = (amd + nu - sqrt(am**2 + avp2(ism)))**2 -
> qv**2 + 2. * qv * avpz(ism) - avp2(ism)
if(w2p.gt.1.155) then
call CHRISTY507(W2p,Q2,F1p,Rp,sigtp,siglp)
sigt = sigt + sigtp * fyd(ism) / 10.
sigl = sigl + siglp * fyd(ism) / 10.
F1 = F1 + F1p * fyd(ism) / 10.
endif
enddo
else
do ism = 1,200
pz = -1. + 0.01 * (ism-0.5)
c Need avp2f term to get right behavior x>1!
w2p = (amd + nu - sqrt(am**2 + avp2f(ism)))**2 -
> qv**2 + 2. * qv * pz - avp2f(ism)
if(w2p.gt.1.155) then
call CHRISTY507(W2p,Q2,F1p,Rp,sigtp,siglp)
sigt = sigt + sigtp * fydf(ism) / 100.
sigl = sigl + siglp * fydf(ism) / 100.
F1 = F1 + F1p * fydf(ism) / 100.
endif
enddo
endif
if(sigt.ne.0.) R = sigl / sigt
return
end
subroutine resd09(q2,w2,xval,F1)
! Calculate dueteron F1 by Fermi smearing of proton plus neutron
! Add MEC term (not smeared)
c P.E. Bosted and M.E. Christy, ``Empirical Fit to Inelastic
c Electron-Deuteron and Electron-Neutron
c Resonance Region Transverse Cross Sections,
c (arXiv:0711.0159). Submitted to Phys. Rev. C.
implicit none
real*8 q2,w2,xval(50),F1,am/0.9383/,nu,qv,w2p,sigp
real*8 amd/1.8756/, pz, f1m,f2m
integer ism
real*8 fyd(20)/ 0.4965, 0.4988, 0.4958, 0.5008, 0.5027, 0.5041,
> 0.5029, 0.5034, 0.4993, 0.5147, 0.5140, 0.4975, 0.5007, 0.4992,
> 0.4994, 0.4977, 0.5023, 0.4964, 0.4966, 0.4767/
real*8 avpz(20)/-0.1820,-0.0829,-0.0590,-0.0448,-0.0345,-0.0264,
> -0.0195,-0.0135,-0.0079,-0.0025, 0.0029, 0.0083, 0.0139, 0.0199,
> 0.0268, 0.0349, 0.0453, 0.0598, 0.0844, 0.1853/
real*8 avp2(20)/ 0.0938, 0.0219, 0.0137, 0.0101, 0.0081, 0.0068,
> 0.0060, 0.0054, 0.0051, 0.0049, 0.0050, 0.0051, 0.0055, 0.0060,
> 0.0069, 0.0081, 0.0102, 0.0140, 0.0225, 0.0964/
c Look up tables for deuteron in fine bins for sub threshold
real*8 fydf(200)/
> 0.00001,0.00002,0.00003,0.00005,0.00006,0.00009,0.00010,0.00013,
> 0.00015,0.00019,0.00021,0.00026,0.00029,0.00034,0.00038,0.00044,
> 0.00049,0.00057,0.00062,0.00071,0.00078,0.00089,0.00097,0.00109,
> 0.00119,0.00134,0.00146,0.00161,0.00176,0.00195,0.00211,0.00232,
> 0.00252,0.00276,0.00299,0.00326,0.00352,0.00383,0.00412,0.00447,
> 0.00482,0.00521,0.00560,0.00603,0.00648,0.00698,0.00747,0.00803,
> 0.00859,0.00921,0.00985,0.01056,0.01126,0.01205,0.01286,0.01376,
> 0.01467,0.01569,0.01671,0.01793,0.01912,0.02049,0.02196,0.02356,
> 0.02525,0.02723,0.02939,0.03179,0.03453,0.03764,0.04116,0.04533,
> 0.05004,0.05565,0.06232,0.07015,0.07965,0.09093,0.10486,0.12185,
> 0.14268,0.16860,0.20074,0.24129,0.29201,0.35713,0.44012,0.54757,
> 0.68665,0.86965,1.11199,1.43242,1.86532,2.44703,3.22681,4.24972,
> 5.54382,7.04016,8.48123,9.40627,9.40627,8.48123,7.04016,5.54382,
> 4.24972,3.22681,2.44703,1.86532,1.43242,1.11199,0.86965,0.68665,
> 0.54757,0.44012,0.35713,0.29201,0.24129,0.20074,0.16860,0.14268,
> 0.12185,0.10486,0.09093,0.07965,0.07015,0.06232,0.05565,0.05004,
> 0.04533,0.04116,0.03764,0.03453,0.03179,0.02939,0.02723,0.02525,
> 0.02356,0.02196,0.02049,0.01912,0.01793,0.01671,0.01569,0.01467,
> 0.01376,0.01286,0.01205,0.01126,0.01056,0.00985,0.00921,0.00859,
> 0.00803,0.00747,0.00698,0.00648,0.00603,0.00560,0.00521,0.00482,
> 0.00447,0.00412,0.00383,0.00352,0.00326,0.00299,0.00276,0.00252,
> 0.00232,0.00211,0.00195,0.00176,0.00161,0.00146,0.00134,0.00119,
> 0.00109,0.00097,0.00089,0.00078,0.00071,0.00062,0.00057,0.00049,
> 0.00044,0.00038,0.00034,0.00029,0.00026,0.00021,0.00019,0.00015,
> 0.00013,0.00010,0.00009,0.00006,0.00005,0.00003,0.00002,0.00001/
real*8 avp2f(200)/
> 1.0,0.98974,0.96975,0.96768,0.94782,0.94450,0.92494,0.92047,
> 0.90090,0.89563,0.87644,0.87018,0.85145,0.84434,0.82593,0.81841,
> 0.80021,0.79212,0.77444,0.76553,0.74866,0.73945,0.72264,0.71343,
> 0.69703,0.68740,0.67149,0.66182,0.64631,0.63630,0.62125,0.61154,
> 0.59671,0.58686,0.57241,0.56283,0.54866,0.53889,0.52528,0.51581,
> 0.50236,0.49291,0.47997,0.47063,0.45803,0.44867,0.43665,0.42744,
> 0.41554,0.40656,0.39511,0.38589,0.37488,0.36611,0.35516,0.34647,
> 0.33571,0.32704,0.31656,0.30783,0.29741,0.28870,0.27820,0.26945,
> 0.25898,0.25010,0.23945,0.23023,0.21943,0.20999,0.19891,0.18911,
> 0.17795,0.16793,0.15669,0.14667,0.13553,0.12569,0.11504,0.10550,
> 0.09557,0.08674,0.07774,0.06974,0.06184,0.05484,0.04802,0.04203,
> 0.03629,0.03129,0.02654,0.02247,0.01867,0.01545,0.01251,0.01015,
> 0.00810,0.00664,0.00541,0.00512,0.00512,0.00541,0.00664,0.00810,
> 0.01015,0.01251,0.01545,0.01867,0.02247,0.02654,0.03129,0.03629,
> 0.04203,0.04802,0.05484,0.06184,0.06974,0.07774,0.08674,0.09557,
> 0.10550,0.11504,0.12569,0.13553,0.14667,0.15669,0.16793,0.17795,
> 0.18911,0.19891,0.20999,0.21943,0.23023,0.23945,0.25010,0.25898,
> 0.26945,0.27820,0.28870,0.29741,0.30783,0.31656,0.32704,0.33571,
> 0.34647,0.35516,0.36611,0.37488,0.38589,0.39511,0.40656,0.41554,
> 0.42744,0.43665,0.44867,0.45803,0.47063,0.47997,0.49291,0.50236,
> 0.51581,0.52528,0.53889,0.54866,0.56283,0.57241,0.58686,0.59671,
> 0.61154,0.62125,0.63630,0.64631,0.66182,0.67149,0.68740,0.69703,
> 0.71343,0.72264,0.73945,0.74866,0.76553,0.77444,0.79212,0.80021,
> 0.81841,0.82593,0.84434,0.85145,0.87018,0.87644,0.89563,0.90090,
> 0.92047,0.92494,0.94450,0.94782,0.96768,0.96975,0.98974,1.0/
logical usemec/.true./
nu = (w2 - am**2 + q2) / 2. / am
qv = sqrt(nu**2 + q2)
F1 = 0.
! Do fast 20 bins if abvoe threshold
if(w2.gt.1.30) then
do ism = 1,20
w2p = (amd + nu - sqrt(am**2 + avp2(ism)))**2 -
> qv**2 + 2. * qv * avpz(ism) - avp2(ism)
if(w2p.gt.1.155) then
call resmodd09(w2p,q2,xval,sigp)
F1 = F1 + sigp * fyd(ism) / 10.
endif
enddo
else
f1 = 0.
do ism = 1,200
pz = -1. + 0.01 * (ism-0.5)
! Need avp2f term to get right behavior x>1!
w2p = (amd + nu - sqrt(am**2 + avp2f(ism)))**2 -
> qv**2 + 2. * qv * pz - avp2f(ism)
if(w2p.gt.1.155) then
call resmodd09(w2p,q2,xval,sigp)
F1 = F1 + sigp * fydf(ism) / 100.
endif
enddo
endif
! add MEC term
! took out again, then put back in again
call mec(1.D0,2.D0,q2,w2,f1m,f2m,xval)
if(usemec) f1 = f1 + f1m
return
end
subroutine resder(q2,w2,xval,F1er)
! Get error on F1 from deuteron fit
implicit none
integer i,j,icall
real*8 q2,w2,xval(50),xvalp(50),deriv(50),emat(50,50),F1,F1er
real*8 epsilon,F1p
integer ifix(50)/1, 2, 3, 4, 5, 6, 7, 0, 0, 0,
> 0, 0, 8, 9,10,11,12,13,14,15,
> 16,17,18,19,20,21,22,23,24,25,
> 26,27,28,29,30,31,32,33,34,35,
> 36,37,38,39,40,41, 0, 0,42,0/
logical first/.true./
icall = icall + 1
if(first) then
open(unit=9,file='F1F207D2emat.dat')
do i=1,50
read(9,'(10E12.4)') (emat(i,j),j=1,50)
enddo
close(unit=9)
first = .false.
endif
call resd09(q2,w2,xval,F1)
epsilon = 1.E-7
do i=1,50
do j=1,50
xvalp(j) = xval(j)
if(i.eq.j) xvalp(j) = xvalp(j) + epsilon
enddo
call resd09(q2,w2,xvalp,F1p)
deriv(i) = (F1p - F1) / epsilon
if(icall.eq.10) write(6,'(i3,3e12.4)') i,f1,f1p,deriv(i)
enddo
F1er=0.
do i=1,50
do j=1,50
if(ifix(i).ne.0 .and.ifix(j).ne.0) then
F1er = F1er + emat(ifix(i),ifix(j)) * deriv(i) * deriv(j)
endif
enddo
enddo
! add overall Hall C norm. err
F1er = sqrt(F1er + (0.02*F1)**2)
return
end
! returns F1 for average of free proton and neutron
! for given W2, Q2
SUBROUTINE RESMODD09(w2,q2,xval,sig)
IMPLICIT NONE
REAL*8 W,w2,q2,mp,mp2,mpi2,sig,xval(50),mass(7),width(7)
REAL*8 height(7),rescoef(6,4)
REAL*8 nr_coef(3,4),sigr(5000,7),wdif,wr,sig_nr
REAL*8 mpi,meta,intwidth(7),k,kcm,kr(7),kcmr(7),ppicm,ppi2cm
REAL*8 petacm,ppicmr(7),ppi2cmr(7),petacmr(7),epicmr(7),epi2cmr(7)
REAL*8 eetacmr(7),epicm,epi2cm,eetacm,br(7,2),ang(7)
REAL*8 pgam(7),pwid(7,2),x0(7),dip,dip2
REAL*8 sig_res,xpr,alpha,pi,F1
INTEGER i,j,num,iw
real*8 sig_mec
real*8 xval0(12)/
c new 5/07 values. Values 1 and 7 will be overridden below.
& 0.12298E+01,0.15304E+01,0.15057E+01,0.16980E+01,0.16650E+01,
& 0.14333E+01,0.13573E+00,0.22000E+00,0.82956E-01,0.95782E-01,
& 0.10936E+00,0.37944E+00/
real*8 xvalold(50),w2sv,sigrsv(7)
logical first/.true./
common/tst2/sigrsv,sig_nr,sig_mec
real br2(7),br3(7)
save
sig = 0.
if(w2.lt.1.07327**2 .or. w2.gt.25 .or.
> q2.lt.0.0 .or. q2.gt.11.0) then
write(6,'(1x,''error, q2 or w2 out of range'',2g15.5)') w2,q2
stop
return
endif
c do this if fitting masses or widths, else set first true in above
first=.false.
if(xvalold(1).ne.xval(1) .or.
> xvalold(7).ne.xval(7)) first=.true.
xvalold(1)=xval(1)
xvalold(7)=xval(7)
if(first) then
mp = 0.9382727
mpi = 0.135
mpi2 = mpi*mpi
meta = 0.547
mp2 = mp*mp
pi = 3.141593
alpha = 1./137.036
! branching ratios
br(1,1) = 1.0
br(2,1) = 0.5
br(3,1) = 0.65
br(4,1) = 0.65
br(5,1) = 0.4
br(6,1) = 0.65
br(7,1) = 0.6
! angular momenta
ang(1) = 1. !!! P33(1232)
ang(2) = 0. !!! S11(1535)
ang(3) = 2. !!! D13(1520)
ang(4) = 3. !!! F15(1680)
ang(5) = 0. !!! S15(1650)
ang(6) = 1. !!! P11(1440) roper
ang(7) = 3. !!! ? 4th resonance region
! x0 parameter
do i=1,7
c 2006
c x0(i) = 0.165
c 2007
x0(i) = 0.215
enddo
c 2006
c x0(4) = 0.6
c 2007
x0(1) = 0.1446
! out branching ratio
do i=1,7
br(i,2) = 1.-br(i,1)
enddo
! remember w2
w2sv = w2
! uses xvals of 1-12, 47, and 48
! move masses, wdiths into local variables
! pyb changed to be fixed
num = 0
do i=1,6
num = num + 1
mass(i) = xval0(i)
enddo
do i=1,6
num = num + 1
intwidth(i) = xval0(num)
enddo
! changed to allow delta width, mass to vary
! taken out again since xval(1) used in MEC
c mass(1) = xval(1)
c intwidth(1) = xval(7)
c 2006
c mass(7) = xval(47)
c intwidth(7) = xval(48)
c 2007
mass(7) = 1.9341
intwidth(7) = 0.380
! precalculate w-dependent quantites in 0.1 MeV bins
do iw=1073,5000
w = 0.001 * (iw+0.5)
w2 = w**2
wdif = w - (mp + mpi)
wr = wdif/w
! Calculate kinematics needed for threshold Relativistic B-W
k = (w2 - mp2) / 2. / mp
kcm = (w2 - mp2) / 2. / w
epicm = (W2 + mpi**2 -mp2 ) / 2. / w
ppicm = SQRT(MAX(0.0,(epicm**2 - mpi**2)))
epi2cm = (W2 + (2.*mpi)**2 -mp2 ) / 2. / w
ppi2cm = SQRT(MAX(0.0,(epi2cm**2 - (2.*mpi)**2)))
eetacm = (W2 + meta*meta -mp2 ) / 2. / w
petacm = SQRT(MAX(0.0,(eetacm**2 - meta**2)))
do i=1,7
kr(i) = (mass(i)**2-mp2)/2./mp
kcmr(i) = (mass(i)**2.-mp2)/2./mass(i)
epicmr(i) = (mass(i)**2 + mpi**2 -mp2 )/2./mass(i)
ppicmr(i) = SQRT(MAX(0.0,(epicmr(i)**2 - mpi**2)))
epi2cmr(i) = (mass(i)**2 + (2.*mpi)**2 -mp2 )/2./mass(i)
ppi2cmr(i) = SQRT(MAX(0.0,(epi2cmr(i)**2 - (2.*mpi)**2)))
eetacmr(i) = (mass(i)**2 + meta*meta -mp2 )/2./mass(i)
petacmr(i) = SQRT(MAX(0.0,(eetacmr(i)**2 - meta**2)))
! Calculate partial widths
pwid(i,1) = intwidth(i)*(ppicm/ppicmr(i))**(2.*ang(i)+1.)
& *((ppicmr(i)**2+x0(i)**2)/(ppicm**2+x0(i)**2))**ang(i)
if(i.ne.2) then
c pwid(i,2) = intwidth(i)*(ppi2cm/ppi2cmr(i))**(2.*ang(i)+1.)
c & *((ppi2cmr(i)**2+x0(i)**2)/(ppi2cm**2+x0(i)**2))**ang(i)