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F1F2IN21_v1.0.f
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F1F2IN21_v1.0.f
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CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
CCC CCC
CCC F1F221 version 1.0 prerelease 1 - April 4, 2022 CCC
CCC Collection of subroutines to calculate inclusive cross sections CCC
CCC for range of nuclei. For A > 2 the parameterization is based on CCC
CCC by M. E. Christy, T. Gautam, and A Bodek to 12C, 27Al, 56Fe and CCC
CCC 64Cu. However, the fit scales relatively well with 'A' and CCC
CCC should be good for all nuclei with 10 < A < 80. CCC
CCC Also included is the proton cross section fit and a preliminary CCC
CCC deuteron/neutron fit by M. E. Christy, N. Kalantarians, J. Either CCC
CCC and W. Melnitchouk (to be published) based on both inclusive CCC
CCC deuteron and tagged deuteron data on n/d from BONuS. CCC
CCC Range of validity is W^2 < 32, Q^2 < 32.0 CCC
CCC New data included in deuteron fit, including photoproduction at CCC
CCC Q^2 = 0. CCC
CCC CCC
CCC CCC
CCC A > 2 nuclei fit are only 12C for this pre release version. CCC
CCC Do Not use for other nuclei! These will be added prior to CCC
CCC final reselease. CCC
CCC CCC
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
SUBROUTINE F1F2IN21(Z, A, QSQ, WSQ, F1, F2)
!--------------------------------------------------------------------
! Fit to inelastic cross sections for A(e,e')X
! valid for all W^<20 GeV2 and all Q2<30 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 02/20/2021 E. Christy
! Made to be consistent with calling F1F2IN09 from P. Bosted
! with much code borrowed.
!--------------------------------------------------------------------
implicit none
real*8 Z,A,QSQ,WSQ
real*8 avgn,F1,F2,FL,F1p,F1n,F2p,F2n,FLp,FLn
real*8 sigm,sigl,sigt,eps
integer IA,IZ,wfn,opt
logical off,doqe/.false./
off = .true.
IA = int(A)
IZ = int(Z)
avgN = A-z
if(IA.LT.2) then
call sf(WSQ,QSQ,F1p,FLp,F2p,F1n,FLn,F2n)
if(IZ.LT.1) then !!! Neutron
F1 = F1n
F2 = F2n
else !!! Proton
F1 = F1p
F2 = F2p
endif
elseif(IA.EQ.2.AND.IZ.EQ.1) then !!! Deuteron
eps = 0.5 !!! pass 0 < eps < 1
wfn = 2 !!! CD-Bonn, default
doqe = .false. !!! don't include QE !!!
f1 = 0.0
f2 = 0.0
fL = 0.0
call rescsd(WSQ,QSQ,eps,doqe,F1,F2,FL,wfn,sigm)
c write(6,*) "rescsd inel: ", wsq,qsq,eps,wfn,f1,f2
c call smearsub(WSQ,QSQ,wfn,off,F2,F1,FL)
c write(6,*) "smearsub: ", wsq,qsq,eps,wfn,f1,f2
c write(6,*) "in f1f2in21: ", wsq,qsq,eps,wfn,f1,f2
elseif(IA.GT.2) then !!! A>2 nuclei
opt = 3 !!! inelastic only
call SFCROSS(WSQ,QSQ,A,Z,opt,sigt,sigl,F1,F2,FL)
endif
return
end
CCC-----------------
SUBROUTINE F1F2QE21(Z, A, QSQ, WSQ, F1qe, F2qe)
!--------------------------------------------------------------------
! Fit to QE cross sections for A(e,e')X
! valid for all W^<30 GeV2 and all Q2<30 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 02/20/2021 E. Christy
!
! Note: This is a calling routine in order to be consistent with
! calling of F1F2QE09 from P. Bosted. For the deuteron the
! QE distribution is calculated by smearing with a realistic
! wavefunction in the weak-binding approximation. For A>2
! a superscaling model is used for the fit.
!--------------------------------------------------------------------
IMPLICIT none
real*8 wsq,qsq,A,Z,sigt,sigl,F1qe,F2qe,FLqe
integer opt/5/ !!! QE + MEC !!!
integer wfn/2/
logical first/.false./
if(A.EQ.2.0) then
call SQESUB(wsq,qsq,wfn,f2qe,f1qe,fLqe,first)
elseif(A.GT.2.0) then
call sfcross(wsq,qsq,A,Z,opt,sigt,sigl,F1qe,F2qe,FLqe)
endif
c write(6,*) wsq,qsq,a,z,f1qe,f2qe,fLqe
end
CCC-----------------
C=======================================================================
Subroutine FORMFACTS(q2,gmp,gep,gmn,gen)
CCC Returns proton and neutron form factors based on new proton fit CCC
CCC by M.E. Christy including GMp12 data. Neutron starts with CCC
CCC Kelly fit, but includes correction factors extracted from fit to CCC
CCC inclusive deuteron data. Version from July 22, 2020 CCC
!--------------------------------------------------------------------
IMPLICIT NONE
REAL*8 q2,tau,gd,gmp,gep,gmn,gen,mcor,ecor
REAL*8 mu_p/ 2.792782/ ,mu_n/ -1.913148 /
REAL*8 mp/ 0.9382727 /, mp2
mp2 = mp*mp
tau = q2 / 4.0 / mp2
CCC 2021 Christy fit to GMp and GEp including GMp12 data CCC
GMP = mu_p*(1.+0.099481*tau)/
& (1.0+11.089*tau+19.374*tau*tau+5.7798*tau**3)
GEP = (1.+0.24482*tau**2)/
& (1.0+11.715*tau+11.964*tau*tau+27.407*tau**3)
GD = (1./(1 + q2/0.71))**2
CCC 2021 fit to deuteron inclusive data CCC
c GMn = mu_n*(1.0+0.12417E-04*tau)/
c & (1.000+11.404*tau+17.014*tau*tau+31.219*tau**3)
c GEn = (1.5972*tau / (1.0+0.19655*tau)) * GD
GMn = mu_n !!! Kelly Fit
& * (1.D0 + 2.330D0*tau)
& / (1.D0 + 14.720D0*tau + 24.200D0*tau**2 + 84.100D0*tau**3)
GEn = (1.700D0*tau/(1+ 3.300D0*tau))*GD
GEn = GEn*((q2+1189.4)/1189.4)**219.73
GMn = GMn/((q2+0.35590 )/0.35590 )**0.93020E-01
return
end
CCC Version 120521 - Author: M.E. Christy, [email protected] CCC
CCC This fit version includes data from a number of JLab Hall experiments CCC
CCC as well as DIS data from SLAC (L. Whitlow) and photoproduction data CCC
CCC from DAPHNE and older data sets. CCC
CCC Subroutine to get Transverse and Longitudinal eP cross sections CCC
CCC from fits cross sections over a range of epsilon. The subroutine CCC
CCC resmod.f is required. Units are in ub/Sr/Gev. CCC
CCC
CCC Region of applicability has been extended to cover the full JLab CCC
CCC 11 GeV kinematic range of Q^2 < 30 GeV^2 and W^2 < 20 CCC
SUBROUTINE rescsp(W2,Q2,sigT,sigL)
IMPLICIT NONE
real*8 w2,q2,xval1(50),xvall(50),xval(100)
real*8 mp,mp2,pi,alpha,xb,sigT,sigL,F1,FL,F2,R
integer i,npts,sf
mp = .9382727
mp2 = mp*mp
pi = 3.141593
alpha = 1./137.036
data xval/
& 0.12291E+01,0.15173E+01,0.15044E+01,0.17100E+01,0.16801E+01,
& 0.14312E+01,0.12616E+00,0.23000E+00,0.92594E-01,0.90606E-01,
& 0.75000E-01,0.35067E+00,0.75729E+01,0.56091E+01,0.94606E+01,
& 0.20156E+01,0.66190E+01,0.41732E+00,0.23980E-01,0.53136E+01,
& 0.63752E+00,0.11484E+02,0.69949E-01,0.26191E+01,0.53603E-01,
& 0.65000E+02,0.15351E+00,0.20624E+01,0.23408E+01,0.16100E+02,
& 0.62414E+02,0.17201E+01,0.23261E+00,0.65000E+02,0.23292E+01,
& 0.14980E+01,0.23000E+00,0.63385E+00,0.19093E-01,0.61061E-01,
& 0.29146E-02,0.54388E+00,0.77997E+00,0.28783E+00,0.10605E+01,
& 0.69793E+00,0.20009E+01,0.57000E+00,0.41632E+01,0.38427E+00,
& 0.10000E+01,0.99842E+00,0.98719E+00,0.10168E+01,0.98945E+00,
& 0.99594E+00,0.98799E+00,0.10271E+01,0.10650E+01,0.97920E+00,
& 0.10152E+01,0.99622E+00,0.81011E+01,0.10070E-02,0.14857E+01,
& 0.33445E+01,0.31641E-09,0.69755E+02,0.55228E+01,0.14438E+00,
& 0.60474E+01,0.65395E-07,0.14129E+01,0.58609E+00,0.36220E+01,
& 0.92699E+00,0.14418E+01,0.86403E-02,0.10001E-03,0.75106E+00,
& 0.76077E+00,0.42272E+00,0.55511E-11,0.52486E+00,0.58153E+00,
& 0.15798E+01,0.50105E+00,0.89149E+02,0.72789E+00,0.24813E-01,
& -.61906E+00,0.10000E+01,0.00000E+00,0.00000E+00,0.68158E+03,
& 0.12429E+01,0.00000E+00,0.00000E+00,0.00000E+00,0.10000E-05 /
do i=1,50
xval1(i) = xval(i)
xvalL(i) = xval(50+i)
if(i.LE.12) xvalL(i) = xval1(i)
if(i.EQ.47.OR.i.EQ.48) xvalL(i) = xval1(i)
enddo
xb = q2/(w2+q2-mp2)
call resmodp(1,w2,q2,xval1,sigT)
call resmodp(2,w2,q2,xvalL,sigL)
F1 = sigT*(w2-mp2)/8./pi/pi/alpha/0.3894e3
FL = sigL*2.*xb*(w2-mp2)/8./pi/pi/alpha/0.3894e3
R = sigL/sigT
c write(6,*) w2,q2,F1,FL,R
end
SUBROUTINE RESCSD(w2,q2,eps,doqe,f1d,f2d,fLd,wfn,sigm)
CCCC Calcultes deuteron cross sections from smeared p+n. CCCC
CCCC Requires SQESUB be called first to read in smearing functions. CCCC
CCCC This should be one at the lowest level to keep from reading CCCC
CCCC multiple times.
IMPLICIT none
real*8 w2,q2,eps,t1,x,gamma2,q2min,q2t
real*8 sigtp,sigtn,siglp,sigln,sigt,sigl,sigm,m
real*8 m2,pi2,alpha,f1d,f2d,fLd,f1dqe,f2dqe,fLdqe
real*8 off_mKP_fit,delta,xfr,xfl
integer i,j,k,ntssot,wfn,drn
logical doqe,off
c INCLUDE 'parm.cmn'
external off_mKP_fit
f1dqe = f1d
f2dqe = f2d
fLdqe = fLd
off = .false. !! off-shell corrections
c off = .true.
q2min = 4.0E-5
drn = 5
xfr = 0.95
xfl = 1.0E-3
alpha = 1./137.036
m = (0.938272+0.939565)/2.0d0 !!! average p,n
m2 = m*m
pi2 = 3.14158*3.14159
q2t = q2
c if(q2.LT.q2min) q2t = q2min !!! Hack to fix photoproduction
x = q2t/(w2-m2+q2t)
c gamma2 = 1.+4.*m2*x*x/q2t
gamma2 = 1.0+q2t*4.0*m2/(w2+q2t-m2)**2.0
t1 = gamma2*f2dqe-2.*x*f1dqe
if(f2dqe.LT.0.0.OR.f1dqe.LT.0.0.OR.fLdqe.LT.0.0)
& write(34,*) w2,q2,f2dqe,f1dqe,fLdqe
if(q2.LT.0.05) then
call SMEARSUBLOWQ(w2,q2t,wfn,off,f2d,f1d,fLd)
else
call SMEARSUB(w2,q2t,wfn,off,f2d,f1d,fLd)
endif
c write(6,*) w2,q2t,f2d,f1d,fLd
if(doqe) then
f1d = f1d+f1dqe
f2d = f2d+f2dqe
fLd = fLd+fLdqe
endif
sigt = 0.3894e3*f1d*pi2*alpha*8.0/abs(w2-m2)
sigl = 0.3894e3*fLd*pi2*alpha*8.0/abs(w2-m2)/2.*abs(w2-m2+q2t)/q2t
if(q2t.EQ.0) sigl = 0.0
sigm = sigt+eps*sigl
c write(6,*) w2,q2t,sigt,sigl,sigm
return
end
SUBROUTINE RESCSN(w2,q2,sigtn,sigln)
CCCC Returns neutron transverse and longitudinal cross sections CCCC
CCCC November 16, 2021 version CCCC
IMPLICIT none
real*8 w2,q2,sigtn,sigln
real*8 xvaln(100),xval1(50),xvalL(50)
integer i
data xvaln /
& 0.12291E+01,0.15173E+01,0.15044E+01,0.17100E+01,0.16801E+01,
& 0.14312E+01,0.12616E+00,0.23000E+00,0.92594E-01,0.90606E-01,
& 0.75000E-01,0.35067E+00,0.69500E+01,0.86633E+01,0.11557E+02,
& 0.22138E+01,0.44886E+01,0.20500E+03,0.84433E+03,0.31167E+01,
& 0.96301E+00,0.14956E+00,0.20761E-07,0.10440E+01,0.40143E-03,
& 0.90028E+02,0.75248E-01,0.20532E+00,0.12444E-01,0.34469E+03,
& 0.19948E+00,0.26925E+01,0.48635E+01,0.86000E+02,0.67813E+04,
& 0.44281E+02,0.29548E+00,0.65421E+00,0.23787E-09,0.51967E-01,
& 0.39926E-08,0.29960E+00,0.97516E+00,0.46934E-01,0.14246E+03,
& 0.55801E+00,0.19349E+01,0.27400E+00,0.38891E+00,0.40000E-02,
& 0.10108E+01,0.97020E+00,0.98248E+00,0.97768E+00,0.10425E+01,
& 0.10198E+01,0.97822E+00,0.98239E+00,0.10103E+01,0.10076E+01,
& 0.10044E+01,0.99687E+00,0.16696E+01,0.10721E-06,0.54114E+00,
& 0.11923E+04,0.55938E+02,0.95000E+03,0.39840E+02,0.22026E+03,
& 0.30498E+01,0.24459E+00,0.95574E+00,0.35596E+00,0.21228E-05,
& 0.96696E+01,0.27563E+01,0.93027E-01,0.33559E+02,0.31207E-01,
& 0.29020E+02,0.86417E+00,0.36471E-08,0.99167E+00,0.68124E+00,
& 0.10000E-01,0.90227E-01,0.40115E+01,0.29915E+01,0.45929E-01,
& -.16758E+01,0.78493E+01,0.78184E+01,0.42074E+01,0.41179E-05,
& 0.80597E+00,0.00000E+00,0.00000E+00,0.10045E+01,0.62364E+00 /
do i=1,50
xval1(i) = xvaln(i)
xvalL(i) = xvaln(50+i)
if(i.LE.12) xvalL(i) = xval1(i) !!! use same masses for L as T !!!
if(i.EQ.47.OR.i.EQ.48) xvalL(i) = xval1(i)
enddo
call resmodn(1,w2,q2,xval1,sigtn)
call resmodn(2,w2,q2,xvalL,sigLn)
return
end
CCC-----------------
SUBROUTINE RESMODP(sf,w2,q2,xval,sig)
CCC Returns proton transverse (sf=1) and longitudinal (sf=2 Cross sections CCC
CCC Version from July 1, 2021 - Author: M.E. Christy CCC
CCC This routine returns proton photo-absorbtion cross sections CCC
CCC for either transverse or longitudinal photons in units of ub/Sr/Gev. CCC
CCC CCC
CCC Fit form is empirical. Interpret physics from it at your own risk. CCC
CCC replaced 2-pi threshold with eta CCC
IMPLICIT NONE
REAL*8 W,w2,q2,mp,mp2,mpi2,xb,sig,xval(50),mass(7),width(7)
REAL*8 height(7),rescoef(6,4)
REAL*8 nr_coef(3,4),sigr(7),wdif(2),sig_nr,pi2,alpha
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(7,3),ang(7)
REAL*8 pgam(7),pwid(7,3),x0(7),dip,mon,q20,A0
REAL*8 sig_res,xpr(2),t1,t2
INTEGER i,j,num,sf
mp = 0.9382727
mpi = 0.134977
mpi2 = mpi*mpi
meta = 0.547862
mp2 = mp*mp
alpha = 1./137.036
W = sqrt(w2)
wdif(1) = w - (mp + mpi)
wdif(2) = w - (mp + meta)
q20 = 0.05
q20= xval(50)
CCCC single pion branching ratios CCCC
br(1,1) = 1.00 !!! P33(1232)
br(2,1) = 0.45 !!! S11(1535)
br(3,1) = 0.60 !!! D13(1520)
br(4,1) = 0.65 !!! F15(1680)
br(5,1) = 0.60 !!! S11(1650)
br(6,1) = 0.65 !!! P11(1440) roper
br(7,1) = 0.60 !!! F37(1950)
CCCC eta branching ratios CCCC
br(1,3) = 0.0 !!! P33(1232)
br(2,3) = 0.40 !!! S11(1535)
br(3,3) = 0.08 !!! D13(1520)
br(4,3) = 0.0 !!! F15(1680)
br(5,3) = 0.20 !!! S11(1650)
br(6,3) = 0.0 !!! P11(1440) roper
br(7,3) = 0.0 !!! F37(1950)
CCCC 2-pion branching ratios CCCC
do i=1,7
br(i,2) = 1.-br(i,1)-br(i,3)
enddo
CCCC Meson angular momentum CCCC
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. !!! F37(1950)
do i=1,7 !!! resonance damping parameter !!!
x0(i) = 0.160 !!!
c x0(i) = 0.14
enddo
c x0(1) = 0.155
c if(sf.EQ.2) x0(1) = 0.08 !!! different Delta mass for sigL
if(sf.EQ.2) x0(1) = 0.07 !!! different Delta mass for sigL
do i=1,7
br(i,2) = 1.-br(i,1)-br(i,3)
enddo
dip = 1./(1.+q2/1.15)**2. !!! Dipole parameterization !!!
c mon = 1./(1.+q2/1.5)**1.
mon = 1./(1.+q2/1.5)**1.
xb = q2/(q2+w2-mp2)
xpr(1) = 1.00+(w2-(mp+mpi)**2)/(q2+q20)
xpr(1) = 1./xpr(1)
xpr(2) = 1.+(w2-(mp+meta)**2)/(q2+q20)
xpr(2) = 1./xpr(2)
if(w.LE.(mp+mpi)) xpr(1) = 1.0
if(w.LE.(mp+meta)) xpr(2) = 1.0
CCC Calculate kinematics needed for threshold Relativistic B-W CCC
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)))
num = 0
do i=1,6 !!! Read in resonance masses !!!
num = num + 1
mass(i) = xval(i)
enddo
do i=1,6 !!! Read in resonance widths !!!
num = num + 1
intwidth(i) = xval(num)
width(i) = intwidth(i)
enddo
mass(7) = xval(47)
intwidth(7) = xval(48)
width(7) = intwidth(7)
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)))
CCC Calculate partial widths CCC
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)
c !!! 1-pion decay mode
pwid(i,2) = intwidth(i)*(ppi2cm/ppi2cmr(i))**(2.*ang(i)+4.)
& *((ppi2cmr(i)**2+x0(i)**2)/(ppi2cm**2+x0(i)**2))
& **(ang(i)+2) !!! 2-pion decay mode
pwid(i,2) = W/mass(i)*pwid(i,2)
pwid(i,3) = 0. !!! eta decay mode
if(i.EQ.2.OR.i.EQ.5) then
pwid(i,3) = intwidth(i)*(petacm/petacmr(i))**(2.*ang(i)+1.)
& *((petacmr(i)**2+x0(i)**2)/(petacm**2+x0(i)**2))**ang(i)
c !!! eta decay only for S11's
endif
pgam(i) = (kcm/kcmr(i))**2*
& (kcmr(i)**2+x0(i)**2)/(kcm**2+x0(i)**2)
pgam(i) = intwidth(i)*pgam(i)
width(i) = br(i,1)*pwid(i,1)+br(i,2)*pwid(i,2)+br(i,3)*pwid(i,3)
enddo
CCC End resonance kinematics and Widths calculations CCC
CCC Begin resonance Q^2 dependence calculations CCC
do i=1,6
do j=1,4
num = num + 1
rescoef(i,j)=xval(num)
enddo
if(sf.EQ.1) then
height(i) = rescoef(i,1)*
& (1.+rescoef(i,2)*q2/(1.+rescoef(i,3)*q2))*
& mon**rescoef(i,4)
else
height(i) = (rescoef(i,1)+rescoef(i,2)*q2)
& *exp(-1.*rescoef(i,3)*q2)
endif
height(i) = height(i)*height(i)
enddo
if(sf.EQ.2) then !!! 4th resonance region !!!
height(7) = (xval(16)+xval(20)*q2)*exp(-1.0*xval(24)*q2)
else
height(7) = xval(49)*mon**xval(45)
endif
height(7) = height(7)*height(7)
CCC End resonance Q^2 dependence calculations CCC
do i=1,3 !!! Non-Res coefficients !!!
do j=1,4
num = num + 1
nr_coef(i,j)=xval(num)
enddo
enddo
CCC Calculate Breit-Wigners for all resonances CCC
sig_res = 0.0
do i=1,7
sigr(i) = width(i)*pgam(i)/((W2 - mass(i)**2.)**2.
& + (mass(i)*width(i))**2.)
sigr(i) = height(i)*kr(i)/k*kcmr(i)/kcm*sigr(i)/intwidth(i)
sig_res = sig_res + sigr(i)
enddo
sig_res = sig_res*w
if(sf.EQ.2) sig_res = sig_res*q2
CCC Finish resonances / start non-res background calculation CCC
sig_nr = 0.
if(sf.EQ.1.and.xpr(1).LT.1.0) then
A0 = xval(37)/(1.0+q2/xval(42))**xval(43)
c t1 = xval(38)*log(2.1+q2/xval(39)) !!! exponent of (1-xpr
c t2 = xval(40)*log(2.1+q2/xval(41)) !!! exponent of xpr
c t1 = xval(38)*log(1.5+q2/xval(39))
t1 = xval(38)*log(1.06+q2)+xval(39)/log(1.06+q2)
c t2 = xval(40) + xval(41)*log(1.1+q2)
t2 = xval(40)*(1.0+q2/xval(41))**xval(44)
c t2 = xval(40)*log(1.1+q2)+xval(41)/log(1.0+q2)
c t2 = xval(40)*log(1.1+q2)+xval(41)/log(1.1+q2)
if(xpr(1).LE.1.0) then !!! 1-pi threshold
sig_nr = 389.4*A0*(1.-xpr(1))**t1*xpr(1)**t2
endif
if(xpr(2).LE.1.0) then !!! eta threshold
sig_nr = sig_nr+xval(46)*389.4*A0*(1.-xpr(2))**t1*xpr(2)**t2
endif
c write(6,*) q2,sf,t1,t2
elseif(sf.EQ.2.and.xpr(1).LT.1.0) then
A0 = xval(37)/(1.0+q2/xval(39))**2.0
t1 = xval(38)/(1.0+q2/(xval(40)))+xval(32)*log(q2+xval(36))
c t2 = xval(41)/(1.00+q2/xval(42))**xval(43) !!! exponent of xpr
t2 = xval(41)
if(xpr(1).LE.1.0) then
sig_nr = sig_nr + 389.4*A0*
& xb*(1.-xpr(1))**t1*xpr(1)**t2
endif
endif
sig = sig_res + sig_nr
if((w-mp).LT.wdif(1)) sig = 0.0
1000 format(8f12.5)
1001 format(7f12.3)
RETURN
END
SUBROUTINE RESMODN(sf,w2,q2,xval,sig)
CCC Returns proton transverse (sf=1) and longitudinal (sf=2 Cross sections CCC
CCC Version from July 15, 2021 - Author: M.E. Christy CCC
CCC This routine returns proton photo-absorbtion cross sections CCC
CCC for either transverse or longitudinal photons in units of ub/Sr/Gev. CCC
CCC CCC
CCC Fit form is empirical. Interpret physics from it at your own risk. CCC
CCC replaced 2-pi threshold with eta CCC
IMPLICIT NONE
REAL*8 W,w2,q2,mp,mp2,mpi2,xb,sig,xval(50),mass(7),width(7)
REAL*8 height(7),rescoef(6,4)
REAL*8 nr_coef(3,4),sigr(7),wdif(2),sig_nr,pi2,alpha
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(7,3),ang(7)
REAL*8 pgam(7),pwid(7,3),x0(7),dip,mon,q20,A0
REAL*8 sig_res,xpr(2),t1,t2
INTEGER i,j,num,sf
mp = 0.939565
mpi = 0.134977
mpi2 = mpi*mpi
meta = 0.547862
mp2 = mp*mp
alpha = 1./137.036
W = sqrt(w2)
wdif(1) = w - (mp + mpi)
wdif(2) = w - (mp + meta)
q20 = 0.05
q20= xval(50)
CCCC single pion branching ratios CCCC
br(1,1) = 1.00 !!! P33(1232)
br(2,1) = 0.45 !!! S11(1535)
br(3,1) = 0.60 !!! D13(1520)
br(4,1) = 0.65 !!! F15(1680)
br(5,1) = 0.60 !!! S11(1650)
br(6,1) = 0.65 !!! P11(1440) roper
br(7,1) = 0.60 !!! F37(1950)
CCCC eta branching ratios CCCC
br(1,3) = 0.0 !!! P33(1232)
br(2,3) = 0.40 !!! S11(1535)
br(3,3) = 0.08 !!! D13(1520)
br(4,3) = 0.0 !!! F15(1680)
br(5,3) = 0.20 !!! S11(1650)
br(6,3) = 0.0 !!! P11(1440) roper
br(7,3) = 0.0 !!! F37(1950)
CCCC 2-pion branching ratios CCCC
do i=1,7
br(i,2) = 1.-br(i,1)-br(i,3)
enddo
CCCC Meson angular momentum CCCC
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. !!! F37(1950)
do i=1,7 !!! resonance damping parameter !!!
x0(i) = 0.16 !!!
enddo
if(sf.EQ.2) x0(1) = 0.07 !!! different Delta mass for sigL
do i=1,7
br(i,2) = 1.-br(i,1)-br(i,3)
enddo
dip = 1./(1.+q2/1.15)**2. !!! Dipole parameterization !!!
mon = 1./(1.+q2/1.5)**1.
xb = q2/(q2+w2-mp2)
xpr(1) = 1.00+(w2-(mp+mpi)**2)/(q2+q20)
xpr(1) = 1./xpr(1)
xpr(2) = 1.+(w2-(mp+meta)**2)/(q2+q20)
xpr(2) = 1./xpr(2)
if(w.LE.(mp+mpi)) xpr(1) = 1.0
if(w.LE.(mp+meta)) xpr(2) = 1.0
CCC Calculate kinematics needed for threshold Relativistic B-W CCC
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)))
num = 0
do i=1,6 !!! Read in resonance masses !!!
num = num + 1
mass(i) = xval(i)
enddo
do i=1,6 !!! Read in resonance widths !!!
num = num + 1
intwidth(i) = xval(num)
width(i) = intwidth(i)
enddo
mass(7) = xval(47)
intwidth(7) = xval(48)
width(7) = intwidth(7)
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)))
CCC Calculate partial widths CCC
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)
c !!! 1-pion decay mode
pwid(i,2) = intwidth(i)*(ppi2cm/ppi2cmr(i))**(2.*ang(i)+4.)
& *((ppi2cmr(i)**2+x0(i)**2)/(ppi2cm**2+x0(i)**2))
& **(ang(i)+2) !!! 2-pion decay mode
pwid(i,2) = W/mass(i)*pwid(i,2)
pwid(i,3) = 0. !!! eta decay mode
if(i.EQ.2.OR.i.EQ.5) then
pwid(i,3) = intwidth(i)*(petacm/petacmr(i))**(2.*ang(i)+1.)
& *((petacmr(i)**2+x0(i)**2)/(petacm**2+x0(i)**2))**ang(i)
c !!! eta decay only for S11's
endif
pgam(i) = (kcm/kcmr(i))**2*
& (kcmr(i)**2+x0(i)**2)/(kcm**2+x0(i)**2)
pgam(i) = intwidth(i)*pgam(i)
width(i) = br(i,1)*pwid(i,1)+br(i,2)*pwid(i,2)+br(i,3)*pwid(i,3)
enddo
CCC End resonance kinematics and Widths calculations CCC
CCC Begin resonance Q^2 dependence calculations CCC
do i=1,6
do j=1,4
num = num + 1
rescoef(i,j)=xval(num)
enddo
if(sf.EQ.1) then
height(i) = rescoef(i,1)*
& (1.+rescoef(i,2)*q2/(1.+rescoef(i,3)*q2))*
& mon**rescoef(i,4)
else
height(i) = (rescoef(i,1)+rescoef(i,2)*q2)
& *exp(-1.*rescoef(i,3)*q2)
endif
height(i) = height(i)*height(i)
enddo
if(sf.EQ.2) then !!! 4th resonance region !!!
height(7) = (xval(44)+xval(45)*q2)*exp(-1.0*xval(46)*q2)
else
height(7) = xval(49)*mon
endif
height(7) = height(7)*height(7)
CCC End resonance Q^2 dependence calculations CCC
do i=1,3 !!! Non-Res coefficients !!!
do j=1,4
num = num + 1
nr_coef(i,j)=xval(num)
enddo
enddo
CCC Calculate Breit-Wigners for all resonances CCC
sig_res = 0.0
do i=1,7
sigr(i) = width(i)*pgam(i)/((W2 - mass(i)**2.)**2.
& + (mass(i)*width(i))**2.)
sigr(i) = height(i)*kr(i)/k*kcmr(i)/kcm*sigr(i)/intwidth(i)
sig_res = sig_res + sigr(i)
enddo
sig_res = sig_res*w
if(sf.EQ.2) sig_res = sig_res*q2
CCC Finish resonances / start non-res background calculation CCC
sig_nr = 0.
if(sf.EQ.1.and.xpr(1).LT.1.0) then
c A0 = xval(37)*(1.0+xval(44)*q2)/(1.+q2/xval(42))**xval(43) !!! overall amplitude
A0 = xval(37)/(1.0+q2/xval(42))**xval(43)
t1 = xval(38)*log(1.05+q2)+xval(39)/(1.05+q2) !!! exponent of (1-xpr)
c t2 = xval(40)*log(2.0+q2/xval(41))+xval(45) !!! exponent of xpr
t2 = xval(40)*(1.0+q2/xval(41))**xval(44)
if(xpr(1).LE.1.0) then !!! 1-pi threshold
sig_nr = 389.4*A0*(1.-xpr(1))**t1*xpr(1)**t2
endif
if(xpr(2).LE.1.0) then !!! eta threshold
sig_nr = sig_nr+xval(46)*389.4*A0*(1.-xpr(2))**t1*xpr(2)**t2
endif
c write(6,*) q2,sf,t1,t2
elseif(sf.EQ.2.and.xpr(1).LT.1.0) then
A0 = xval(37)/(1.0+q2/xval(39))**2.0
t1 = xval(38)/(1.0+q2/(xval(40)))+xval(32)*log(q2+xval(36)) !!! exponent of (1-xpr)
t2 = xval(41)/(1.00+q2/xval(42))**xval(43) !!! exponent of xpr
c write(6,*) q2,a0,t1,t2
if(xpr(1).LE.1.0) then
sig_nr = sig_nr + 389.4*A0*
& xb*(1.-xpr(1))**t1*xpr(1)**t2
endif
endif
sig = sig_res + sig_nr
if((w-mp).LT.wdif(1)) sig = 0.0
1000 format(8f12.5)
1001 format(7f12.3)
RETURN
END
SUBROUTINE SMEARSUB(w2,q2,wfn,off,f2s,f1s,fLs)
CCCC Fermi smears structure functions. Requires subroutne GETFY CCCC
CCCC to be initialized first. CCCC
IMPLICIT none
real*8 w2,q2,mp,mp2,x,z,wwz,alpha,alpha2,gamma,gamma2
real*8 y,fy11,fy12,fy2,inc,f2s,f1s,fLs,f2pi,f2ni,xvaln(100)
real*8 sigtp,sigtn,siglp,sigln,f1pi,f1ni,fLpi,fLni
real*8 f1i(1000),f2i(1000),vfact1(1000),vfact2(1000)
real*8 vfact1off(1000),vfact2off(1000),fy11off,fy12off
real*8 fy2off,f1soff,f2soff,fLsoff
real*8 ymin,ymax,pi,pi2,epsd
real*8 c0,c1,c2,delta(1000)
integer i,j,nbins,wfn
c logical first/.true./
logical firsty/.false./
logical off
real*8 dsimps
external dsimps
C *****Off-shell parameters*****
if(wfn.eq.1) then
c0=-3.6735d0
c1=0.057717d0
c2=0.36419d0
elseif(wfn.eq.2) then
c0=-7.2061d0
c1=0.062022d0
c2=0.38018d0
elseif(wfn.eq.3) then
c0=1.7204d0
c1=0.050923d0
c2=0.34360d0
elseif(wfn.eq.4) then
c0=-1.7690d0
c1=0.058321d0
c2=0.36976d0
else
c0=0.d0