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qfs_new13_sub.f
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qfs_new13_sub.f
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*qfs
! subroutine qfs(z,a,e,th,w,delnu,flag,sigma_qfs,elflag)
subroutine qfs(z,a,e,th,w,delnu,flag,sigma_qfs,elflag,scalein)! OR 3/05
cc subroutine qfs(z,a,e,th,w,delnu,flag,elflag,sigma_qfs)
c
implicit none
real*8 z,a,e,th,w,delnu,sigma_qfs,elflag,scalein
real*8 scale, wpi, eps,epsd,pf,spence, pm, dm, alph, pi, sigqfza,
& sigqfs, thr, qsq, wsq, f1, f2, r, siginel, sigmot, sigdelc,
& sigr1c, sigr2c, sigxc, sigda, sigr1a, sigr2a, sigxa,
& sig2na, sigdel, sigx, sigr1, sigr2, sig2n, sig, sigrad,
& escat,xsecqe,xsecdis,xsectot
ccc Fro convenience, define and use these vars (used for deut inel xsec)
real*8 sig_mott, alpha, W1, W2, Mp, e0, ep, e_nu, hbarcsq, sigma_qe
real*8 scale_peterxsec
real*8 r09
character*1 dorg
logical*4 flag
character*11 proton_inel_fit
common /par/ eps,epsd,pf,spence
common /switch/ dorg
parameter(scale_peterxsec=1.d-36) !! multiply this to peter's xsec
parameter(scale=1.d-26)
parameter (wpi = 1.078d0)
pm=939.0d0
dm=1219.d0
alph=1.d0/137.03604d0
pi=acos(-1.d0)
c
alpha = 0.007297352533d0 !! define or reassign some vars for convenience
Mp = pm/ 1000.0d0 !! these are in GeV !!!
e0 = e / 1000.0d0
e_nu= w / 1000.0d0
ep = e0 - e_nu
hbarcsq=0.389379292d0
c print *, 'e_nu=', e_nu
c
c Select which Hall C proton inelastic fit to use.
c
c proton_inel_fit = 'liang '
c proton_inel_fit = 'EC_nov_2004'
c proton_inel_fit = 'EC_050614'
proton_inel_fit = 'PB_MEC_09'
c
IF(A.EQ.1.d0) THEN
PF=0.d0
EPS=0.d0
EPSD=13.0d0
dorg='y'
ELSEIF(A.eq.2.d0) THEN
! PF=77.d0
! EPS=2.23d0
! PF=74.d0 ! OR 2/04
PF=100.d0 ! OR 2/05
EPS=2.22d0
EPSD=13.0d0
ELSEIF(A.EQ.4.d0) THEN
! PF=180.d0 !152
! EPS=20.d0 !8
PF=180.d0 ! OR 3/05
EPS=20.2d0 ! OR 3/05
cc PF=162.d0 ! OR 3/05
cc EPS=20.6d0 ! OR 3/05
EPSD=13.0d0
ELSEIF(A.EQ.9.d0) THEN
PF=200.d0
EPS=20.d0
EPSD=13.0d0
ELSEIF(A.EQ.12.d0) THEN
PF=230.d0 !205, 215, 220, 230=5/03
EPS=25.d0
EPSD=13.d0
ELSEIF(A.EQ.14.d0 .OR. A.EQ.15.d0) THEN
PF=225.d0
EPS=25.d0
EPSD=13.d0
ELSEIF(A.EQ.27.d0) THEN
PF=235.d0
EPS=32.d0
EPSD=13.d0
ELSEIF(A.EQ.59.d0) THEN
PF=260.d0
EPS=35.d0
EPSD=13.d0
ELSEIF(A.EQ.64.d0) THEN
PF=260.d0
EPS=35.d0
EPSD=13.d0
ELSEIF(A.EQ.184.d0) THEN
PF=265.d0
EPS=43.d0
EPSD=13.d0
ELSE
WRITE(*,*) 'pf, eps, epsd not specified for this material, stop'
STOP
ENDIF
c
! 6/03 Use Hall C F2 R for proton inelastic sigma
thr = th*pi/180.0d0 ! 6/03
qsq = 4.0d0*e*(e-w)*sin(thr/2.0d0)**2 ! 6/03
wsq = pm*pm + 2.d0*pm*w - qsq ! 6/03
if((a.eq.1.d0 .and.z.eq.1.d0)) then
siginel = 0.
sigqfza =0.
if ( elflag.eq.0.d0 .and.(wsq/1.d6.le.9.0d0)) then ! 6/03
if ( proton_inel_fit .eq. 'liang ') then
call hcf2r(qsq/1.d6,wsq/1.d6,f2,r) ! 6/03
else if ( proton_inel_fit .eq. 'EC_nov_2004') then
call christy_rss(qsq/1.d6,wsq/1.d6,f2,r)
else if ( proton_inel_fit .eq. 'EC_050614') then
call ressf(qsq/1.d6,wsq/1.d6,f2,r)
else if ( proton_inel_fit .eq. 'PB_MEC_09') then
call F1F2IN09(1.0d0, 1.0d0,qsq/1.d6,wsq/1.d6, F1, F2, r)
endif
siginel=sigmot(e,thr)*f2*(1.d0/w+
& 2.d0*w*(1.d0+qsq/w**2)*(tan(thr/2.d0))**2/(qsq*(1d0+r))) ! 6/03
siginel=siginel*scale ! 6/03
c write(*,*) qsq/1.d6,wsq/1.d6,siginel
else
sigqfza=sigqfs(e,th,w,z,a,eps,pf,delnu)*scale
endif
else ! 6/03 A >1
if(a.eq.2.d0 .and.z.eq.1.d0) then ! 2/04
! print *,'e ',e,enu,ww,qsq,th
c call hallc2h(e,th,w,sigdelc,sigr1c,sigr2c,sigxc) ! 2/04
c sigda = sigdelc*scale ! "
c sigr1a = sigr1c*scale ! "
c sigr2a = sigr2c*scale ! "
c sigxa = sigxc*scale ! "
c siginel = sigda+sigxa+sigr1a+sigr2a ! "
c
c print *, 'before call f1f2in06:', z, a, qsq/1.d6, wsq/1.d6
c call F1F2IN06(Z, A, qsq/1.d6, wsq/1.d6, F1, F2) !!peter's code
call F1F2IN09(Z, A, qsq/1.d6, wsq/1.d6, F1, F2,R09) !! Peter and Vahe new code 09
c print *, 'after call f1f2in06:', F1, F2
W1 = F1 / Mp
W2 = F2 / e_nu
sig_mott = alpha**2 / (qsq/1.d6) / tan(thr/2.0d0)**2 * ep/e0
sig_mott = sig_mott * hbarcsq * 1.0d6 !!xsec in nb/GeV/str/nuc
siginel = sig_mott * ( W2 + 2.0d0*W1*tan(thr/2.0d0)**2 )
siginel = siginel * scale_peterxsec
c print *,'Winv=',sqrt(wsq),' Q2=',(qsq/1.d6),' siginel=',siginel
sig2na = 0.d0 ! "
cccccccccccc ***** y-scaling routine ******** cccccccc
cc
cc add call to y-scaling fit to e-D quasi-free to get quasi-free xn
cc qfs_deut expects energy in GeV, remember that "w" is nu=e-escat
cc returns the quasi-elastic xn, inelastic xn and the sum.
cc Will only use the quasi-elastic xn
c escat = (e-w)/1000.d0
c call qfs_deut(e/1000.d0,thr,escat,xsecqe,xsecdis,xsectot)
cc write(*,*) ' comp q.e. xn ',sigqfza,xsecqe*scale
c sigqfza = xsecqe*scale ! comment out this line to use old version
ccccccccccc
cc Let's use peter's QE routine:
c call QUASIY8_2006(Z,A,E0,EP,TH,SIGMA_qe) !! "_2006" added
c new for 09
call F1F2QE09(Z, A, qsq/1.d6, wsq/1.d6, F1, F2)
W1 = F1 / Mp
W2 = F2 / e_nu
sig_mott = alpha**2 / (qsq/1.d6) / tan(thr/2.0d0)**2 * ep/e0
sig_mott = sig_mott * hbarcsq * 1.0d6 !!xsec in nb/GeV/str/nuc
sigma_qe = sig_mott * ( W2 + 2.0d0*W1*tan(thr/2.0d0)**2 )
c end new for 09
sigma_qe = sigma_qe * scale_peterxsec
sigqfza = sigma_qe
c print *, "sigma_qe=", sigma_qe
else ! A > 2
sigda=sigdel(e,th,w,a,epsd,pf,z)*scale
sigxa=sigx(e,th,w,a)*scale
sigr1a=sigr1(e,th,w,a,pf,z)*scale
sigr2a=sigr2(e,th,w,a,pf,z)*scale
! siginel=sigda+sigxa+sigr1a+sigr2a+sig2na ! 6/03
siginel=sigda+sigxa+sigr1a+sigr2a
siginel=siginel*scalein ! OR 3/05: scalein from *.inp file, inelastic scale
! sig2na=sig2n(e,th,enu,z,a,pf)*scale*0.7d0
sig2na=sig2n(e,th,w,z,a,pf)*scale*1.0d0 ! 11/04
siginel=siginel+sig2na
c add calls to Peter's code for A> 2 mkj Apr 16 2007
c call F1F2IN06(Z, A, qsq/1.d6, wsq/1.d6, F1, F2) !!peter's code
call F1F2IN09(Z, A, qsq/1.d6, wsq/1.d6, F1, F2,R09) !! Peter and Vahe new code 09
c print *, 'after call f1f2in06:', F1, F2
W1 = F1 / Mp
W2 = F2 / e_nu
sig_mott = alpha**2 / (qsq/1.d6) / tan(thr/2.0d0)**2 * ep/e0
sig_mott = sig_mott * hbarcsq * 1.0d6 !!xsec in nb/GeV/str/nuc
siginel = sig_mott * ( W2 + 2.0d0*W1*tan(thr/2.0d0)**2 )
siginel = siginel * scale_peterxsec*scalein
c call QUASIY8_2006(Z,A,E0,EP,TH,SIGMA_qe) !! "_2006" added
c new for 09
call F1F2QE09(Z, A, qsq/1.d6, wsq/1.d6, F1, F2)
W1 = F1 / Mp
W2 = F2 / e_nu
sig_mott = alpha**2 / (qsq/1.d6) / tan(thr/2.0d0)**2 * ep/e0
sig_mott = sig_mott * hbarcsq * 1.0d6 !!xsec in nb/GeV/str/nuc
sigma_qe = sig_mott * ( W2 + 2.0d0*W1*tan(thr/2.0d0)**2 )
c end new for 09
sigma_qe = sigma_qe * scale_peterxsec
sigqfza = sigma_qe
c
end if ! hallc 2h
! sig2na=sig2n(e,th,enu,z,a,pf)*scale*0.7d0
c
end if ! hcf2r 2/04
! end if ! 6/03
! sig=sigqfza+sigda+sigxa+sigr1a+sigr2a+sig2na
sig = sigqfza + siginel ! 6/03
c
if ( (a.eq.1.d0 .and. z.eq.1.d0) ) then
if ( elflag .eq. 1.d0) then
sig = sigqfza
else
sig = siginel
endif
endif
c
sigma_qfs=sig ! nonradiated qfs cross section
c
c thcr=th*pi/180.d0
c qms=4.d0*e*(e-w)*sin(thr/2.d0)**2
c qvs=qms+w**2
c ekappa=w-qms/2.d0/pm
c if(ekappa.gt.-pm/2.d0)then
c cmtot=sqrt(pm**2+2.d0*pm*ekappa)
c else
c cmtot=pm
c endif
c flux=(alph/2.d0/pi**2)*((e-w)/e)*((2.d0*pm*w-qms)/2.d0/pm/qms)
c polari=1.d0/(1.d0+2.d0*qvs*tan(thr/2.d0)**2/qms)
c flux=flux/(1.d0-polari)
c if(ekappa.lt.0.) photsig=0.d0
c photsig=sig/flux
c radiate
sigrad=0.d0
if(sig.gt.0.0d0.and.flag) then
call radiate(e,th,w,z,a,sig,sigrad,delnu) ! 'delnu' added mar05
sigma_qfs=sigrad
end if
c
return
end
*fd
real*8 function fd(qms,a)
implicit none
real*8 qms, a
fd=1.d0/(1.d0+qms/a**2)**2
return
end
*fm
real*8 function fm(qms,a)
implicit none
real*8 qms, a
fm=1.d0/(1.d0+qms/a**2)
return
end
*fphenom
real*8 function fphenom(qms)
implicit none
real*8 qms, a1, a2, b1, b2, c1, c2, c3
a1=.55d0
a2=20.d0/1.d6
! a2=10.d0/1.d6
b1=.45d0
! b2=.45d0/1.d6
b2=.45d0/1.d6*1.1d0
! c1=0.03d0
c1 = 0.00d0
! c2=0.2d0/1.d12
c2=0.1d0/1.d12
! c3=4.5d6
c3=4.0d6
fphenom=a1*exp((-a2)*qms)+b1*exp((-b2)*qms)
! fphenom=fphenom+c1*exp((-c2)*(qms-4.5d6)**2)
fphenom=fphenom+c1*exp((-c2)*(qms-c3)**2)
fphenom=sqrt(fphenom)
return
end
*fyukawa
real*8 function fyukawa(qms,a)
implicit none
real*8 qms, a, arg
if(qms.lt.1.d-5.or.a.lt.1.d-5)then
fyukawa=0.d0
else
arg=sqrt(qms/2.d0)/a
fyukawa=atan(arg)/arg
endif
return
end
*sigmot
real*8 function sigmot(e,thr)
implicit none
real*8 e, thr, alph, hbarc
alph=1.d0/137.03604d0
hbarc=197.3286d0
sigmot=(alph*hbarc*cos(thr/2.d0)/2.d0/e/sin(thr/2.d0)**2)**2
c fm**2/sr
return
end
*recoil
real*8 function recoil(e,thr,tm)
implicit none
real*8 e,thr,tm
recoil=1.d0/(1.d0+2.d0*e*sin(thr/2.d0)**2/tm)
return
end
*sigqfs
real*8 function sigqfs(e,th,w,z,a,eps,pf,delnu)
implicit none
real*8 e,th,w,z,a,eps,pf,delnu
real*8 pm, up, un, ap0, ap1, alph, hbarc, pi, gamr, pfr,
& qmsrq, qvsrq, ap, thr, qms, qvs, ekappa, cmtot, signs,
& sigmot, recoil, gepsq, gmpsq, formp, sigep, gensq, gmnsq,
& formn, sigen, epq, siggauss, den, arg, sigq, gamq
integer na, nq
character*1 dorg
common /switch/dorg
c Needed to save delnu for later calls to sigqfs
c Saving of delsav between calls done by -fno-automatic
! if(icall.ne.1) then
! delsav = delnu
! icall = 1
! else
! delnu = delsav
! end if
pm=939.0d0
up=2.7928456d0
un=-1.91304184d0
ap0=840.d0
! ap1=750.d0
! ap1=840.d0
ap1=815.d0 ! 5/2003
alph=1.d0/137.03604d0
hbarc=197.32858d0
pi=acos(-1.0d0)
gamr=120.d0
pfr=230.d0
qmsrq=4.d0*730.d0*(730.d0-115.d0)*sin(37.1d0*pi/180.d0/2.0d0)**2
qvsrq=qmsrq+115.d0**2
na=int(a)
if(na.eq.1)then
ap=ap0
! elseif(na.lt.4)then
! ap=ap0+(a-1.d0)*(ap1-ap0)/3.d0
elseif(na.lt.5)then
ap=ap0+(a-1.d0)*(ap1-ap0)/4.d0
else
ap=ap1
endif
c print 200
200 format(' enter de-e[MeV],domega-e[sr],b-luminosity[cm-2*s-1]')
c read *,dee,dwe,blum
thr=th*pi/180.0d0
qms=4.0d0*e*(e-w)*sin(thr/2.0d0)**2
qvs=qms+w**2
ekappa=w-qms/2.d0/pm
if(ekappa.gt.(-pm)/2.d0)then
cmtot=sqrt(pm**2+2.d0*pm*ekappa)
else
cmtot=pm
endif
c start qfs section
signs=sigmot(e,thr)*recoil(e,thr,pm)
call get_gegm_prot(qms,ap,gepsq,gmpsq)
gmpsq=gmpsq*up**2
formp=gepsq+qms*gmpsq/4.d0/pm**2
formp=formp/(1.d0+qms/4.d0/pm**2)
formp=formp+gmpsq*qms*tan(thr/2.d0)**2/2.d0/pm**2
sigep=signs*formp
call get_gegm_neut(qms,ap,gensq,gmnsq)
gmnsq=gmnsq*un**2
formn=gensq+qms*gmnsq/4.d0/pm**2
formn=formn/(1.d0+qms/4.d0/pm**2)
formn=formn+gmnsq*qms*tan(thr/2.d0)**2/2.d0/pm**2
sigen=signs*formn
epq=4.0d0*e**2*sin(thr/2.0d0)**2/2.0d0/pm
epq=epq/(1.d0+2.d0*e*sin(thr/2.d0)**2/pm)+eps
epq=e-epq
if(int(a).eq.1)then
c Get sig_el as ds2/(dE'dOmega) [nb/(sr MeV)]
if(dorg.ne.'y') then ! Gauusian elastic peak
! arg=(e-w-epq)/sqrt(2.)/1.d0 ! Old qfs's wrong form of ds/dOmega
! den=2.51d0
siggauss = delnu/2.354d0 ! sigma_gauss = FWHM(=delnu)/2.354
c showw = w
arg=(e-w-epq)/sqrt(2.0d0)/siggauss
den=2.51d0*siggauss ! 2.51 = sqrt(2*Pi)
else
c This is option for ds/dOmega
c wel=e - e/(1.d0+2.0d0*e*sin(thr/2.d0)**2/pm)
c winv=pm*(pm+2.0d0*w)-qms
c if(abs(w-wel).le.delnu.and.(w.le.wel))then
sigq=(z*sigep+(a-z)*sigen)
c else
c sigq=0.0d0
c endif
sigqfs=sigq
return
end if ! end dorg
else
gamq=gamr*pf*sqrt(qvs)/pfr/sqrt(qvsrq)
arg=(e-w-epq)/1.20d0/(gamq/2.0d0)
den=2.13d0*(gamq/2.d0)
! sigq=(z*sigep+(a-z)*sigen)*exp(-arg**2)/den
endif
nq=int(arg)
! if(abs(nq).gt.10)then
if(abs(nq).gt.20)then ! needed for delw =1
sigq=0.d0
else
sigq=(z*sigep+(a-z)*sigen)*exp(-(arg**2))/den
endif
sigqfs=sigq
return
end
*sigdel
real*8 function sigdel(e,th,w,a,epsd,pf,z)
implicit none
real*8 e,th,w,a,epsd,pf,z
real*8 alph, pi, pimass, pm, thr, qms, ekappa, dm, ad1, ad0,
& hbarc, gamdp, gamsprd, gamr, gampi, qfdp, pfr, qmsr,
& qvsr, qmsrq, qvsrq, qfd, gsprda, ad, qvs, cmtot2,
& gamq, epd, wd, qmspk, wthresh, thrshfree, threshd,
& wthrfree, thresh, gamd, gam, sigd, fd, test,
& sigmot
integer na
pm=939.0d0
pimass=140.d0
dm=1219.d0
! ad1=700.d0
! ad1=700.d0 ! 2H
! ad1=774.d0 ! 12C
ad1=750.d0 ! 12C
! ad0=700.d0
ad0=774.d0
pi=acos(-1.d0)
alph=1.d0/137.03604d0
hbarc=197.32858d0
! gamdp=110.d0
gamdp=110.d0
! gamsprd=140.d0
gamsprd=20.d0
! gamr=120.d0
gamr=100.d0
! gampi=5.d0
gampi=50.d0
qfdp=1.02d-7
pfr=230.d0
qmsr=4.d0*730.d0*(730.d0-390.d0)*sin(37.1d0*pi/180.d0/2.d0)**2
qvsr=qmsr+390.d0**2
qmsrq=4.d0*730.d0*(730.d0-115.d0)*sin(37.1d0*pi/180.d0/2.d0)**2
qvsrq=qmsrq+115.d0**2
na=int(a)
if(na.eq.1)then
qfd=qfdp
gsprda=0.d0
ad=ad0
! elseif(na.lt.4)then
elseif(na.eq.2)then
qfd=qfdp
gsprda=(a-1.d0)*gamsprd/3.d0
! gsprda=gamspr
! ad=ad0+(a-1.d0)*(ad1-ad0)/3.d0
ad=700.d0
else
ad=ad1
gsprda=gamsprd
! qfd=qfdp
qfd=qfdp*1.1d0 ! 5/03
endif
thr=th*pi/180.d0
qms=4.d0*e*(e-w)*sin(thr/2.d0)**2
qvs=qms+w**2
ekappa=w-qms/2.d0/pm
cmtot2=pm**2+2.d0*pm*ekappa
c begin delta calculation
if(na.gt.1)then
gamq=gamr*pf*sqrt(qvs)/pfr/sqrt(qvsrq)
else
gamq=0.d0
endif
epd=e-(dm-pm)*(dm+pm)/2.d0/pm
epd=epd/(1.d0+2.d0*e*sin(thr/2.d0)**2/pm)
epd=epd-epsd
wd=e-epd
qmspk=4.d0*e*epd*sin(thr/2.d0)**2
c qvspk=qmspk+wd**2
c
c note width includes e-dependence,fermi broadening,& spreading
c
wthresh=4.d0*e**2*sin(thr/2.d0)**2+pimass**2+2.d0*pimass*pm
wthresh=wthresh/2.d0/pm
thrshfree=1.d0+2.d0*e*sin(thr/2.d0)**2/pm
threshd=1.d0+pf/pm+pf**2/2.d0/pm**2+2.d0*e*sin(thr/2.d0)**2/pm
wthrfree=wthresh/thrshfree
wthresh=wthresh/threshd
if(w.gt.wthresh)then
if((z.ne.1).and.(a.ne.1)) gampi = wthrfree-wthresh
thresh=1.d0-exp( (-(w-wthresh)) / gampi )
else
thresh=0.d0
endif
gamd=gamdp
gam=sqrt(gamd**2+gamq**2+gsprda**2)
! sigd=qfdp*(gamdp/gam)
sigd=qfd*(gamdp/gam) ! 5/03
sigd=sigd*cmtot2*gam**2
sigd=sigd/((cmtot2-(dm+epsd)**2)**2+cmtot2*gam**2)
sigd=sigd*fd(qms,ad)**2/fd(qmsr,ad)**2
test=qvs/qvsr
sigd=sigd*test
sigd=sigd*(qms/2.d0/qvs+tan(thr/2.d0)**2)
sigd=sigd/(qmsr/2.d0/qvsr+tan(37.1d0*pi/180.d0/2.d0)**2)
sigd=sigd*sigmot(e,thr)/sigmot(730.d0,37.1d0*pi/180.d0)
sigd=sigd*a
sigd=sigd*thresh
sigdel=sigd
return
end
*sigx
real*8 function sigx(e,th,w,a)
implicit none
real*8 e,th,w,a
real*8 alph, pi, sig0, sig1, pimass, pm, gam0, thr, qms, arg0,
& arg1, arg, shape, ekappa, siggam, qs, eps, flux, sigee,
& fphenom, r, factor1
alph=1.d0/137.03604d0
pi=acos(-1.d0)
c sig0=111.d0*1.d-30
c modify to get agreement with Run 43204 carbon data
sig0=100.d-4*.92
! sig0=80.d-4
c sig1=60.d0*1.d-27
sig1=54.d0*1.d-1
pimass=140.d0
pm=939.0d0
c gam0=550.d0
! gam0=600.d0
gam0=610.d0
! gam0=700.d0
c r=0.10d0
c aq=250.d0
thr=th*pi/180.d0
if(w.lt.1.d-5)go to 4
qms=4.d0*e*(e-w)*sin(thr/2.d0)**2
arg0=w-qms/2.d0/pm-pimass-pimass**2/2.d0/pm
arg1=arg0/gam0
arg=arg1**2/2.d0
if(arg1.gt.8.d0)then
shape=1.d0+sig1/sig0/arg0
elseif(arg1.lt.1.d-5)then
shape=0.d0
elseif(arg1.lt.0.1d0)then
shape=sig1*arg0/2.d0/gam0**2/sig0
else
shape=(1.d0-exp(-arg))*(1.d0+sig1/sig0/arg0)
endif
ekappa=w-qms/2.d0/pm
siggam=sig0*shape
qs=qms+w**2
eps=1.d0/(1.d0+2.d0*qs*tan(thr/2.d0)**2/qms)
flux=alph*ekappa*(e-w)/2.d0/pi**2/qms/e/(1.d0-eps)
if(flux.lt.1.d-20)flux=0.d0
sigee=flux*siggam*fphenom(qms)**2
c sigee=flux*siggam
! r=0.56d0*1.6d0/(qms+pm**2)
r=min(0.56d0*1.d6/(qms+pm**2),0.2d0)
factor1=1.d0+eps*r
sigee=sigee*factor1
4 sigx=a*sigee
return
end
*sigr1
real*8 function sigr1(e,th,w,a,pf,z)
implicit none
real*8 e,th,w,a,pf,z
real*8 pi, pm, pimass, thr, pfr, rm, epsr, ar0, ar1, gamqfr, ar
real*8 gamsprd, gamr, gampi, qfrp, qmsqfr, qvsqfr, qmsrr, qvsrr
real*8 sigref, fd, sigmot, qfr, gsprda, qms, qvs, gamq, cmtot2
real*8 wthresh, thrshfree, threshd, wthrfree, thresh, epr
real*8 gam, sigr
integer na
pi=acos(-1.d0)
pm=939.0d0
pimass=140.d0
thr=th*pi/180.d0
pfr=230.d0
! rm=1500.d0
rm=1500.d0
epsr=0.d0
ar0=1000.d0
! ar1=1000.d0
! ar1=940.d0 ! 2H
ar1=1000.d0 ! 12C
! gamqfr=120.d0
gamqfr=100.d0
! gamsprd=140.d0
gamsprd=0.d0
gamr=110.d0
! gamr=130.d0
! gampi=5.d0
gampi=25.d0
qfrp=1.20d-7
qmsqfr=4.d0*730.d0*(730.d0-115.d0)*sin(37.1d0*pi/180.d0/2.d0)**2
qvsqfr=qmsqfr+115.d0**2
qmsrr=4.d0*10000.d0*(10000.d0-1240.d0)*sin(6.d0*pi/180.d0/2.d0)**2
qvsrr=qmsrr+1240.d0**2
sigref=fd(qmsrr,ar0)**2*qvsrr
sigref=sigref*(qmsrr/2.d0/qvsrr+tan(6.d0*pi/180.d0/2.d0)**2)
sigref=sigref*sigmot(10000.d0,6.d0*pi/180.d0)
na=int(a)
if(na.eq.1)then
qfr=qfrp
gsprda=0.d0
ar=ar0
! elseif(na.lt.4)then
elseif(na.eq.2)then
qfr=qfrp
gsprda=(a-1.d0)*gamsprd/3.d0
! ar=ar0+(a-1.d0)*(ar1-ar0)/3.d0
ar=920.d0
else
ar=ar1
gsprda=gamsprd
qfr=qfrp
endif
qms=4.d0*e*(e-w)*sin(thr/2.d0)**2
qvs=qms+w**2
if(na.gt.1)then
gamq=gamqfr*pf*sqrt(qvs)/pfr/sqrt(qvsqfr)
else
gamq=0.d0
endif
cmtot2=pm**2+2.d0*pm*w-qms
wthresh=4.d0*e**2*sin(thr/2.d0)**2+pimass**2+2.d0*pimass*pm
wthresh=wthresh/2.d0/pm
thrshfree=1.d0+2.d0*e*sin(thr/2.d0)**2/pm
threshd=1.d0+pf/pm+pf**2/2.d0/pm**2+2.d0*e*sin(thr/2.d0)**2/pm
wthrfree=wthresh/thrshfree
wthresh=wthresh/threshd
if(w.gt.wthresh)then
if((z.ne.1).and.(a.ne.1)) gampi = wthrfree-wthresh
thresh=1.d0-exp( (-(w-wthresh)) / gampi )
else
thresh=0.d0
endif
epr=e-(rm-pm)*(rm+pm)/2.d0/pm
epr=epr/(1.d0+2.d0*e*sin(thr/2.d0)**2/pm)
epr=epr-epsr
c wr=e-epr
gam=sqrt(gamr**2+gamq**2+gsprda**2)
sigr=qfr*(gamr/gam)/sigref
sigr=sigr*cmtot2*gam**2
sigr=sigr/((cmtot2-(rm+epsr)**2)**2+cmtot2*gam**2)
sigr=sigr*qvs*fd(qms,ar)**2
sigr=sigr*(qms/2.d0/qvs+tan(thr/2.d0)**2)
sigr=sigr*sigmot(e,thr)
sigr1=a*thresh*sigr
return
end
*sigr2
real*8 function sigr2(e,th,w,a,pf,z)
implicit none
real*8 e,th,w,a,pf,z
real*8 pi, pm, pimass, thr, pfr, rm, epsr, ar0, ar1, gamqfr, ar
real*8 gamsprd, gamr, gampi, qfrp, qmsqfr, qvsqfr, qmsrr, qvsrr
real*8 sigref, fd, sigmot, qfr, gsprda, qms, qvs, gamq, cmtot2
real*8 wthresh, thrshfree, threshd, wthrfree, thresh, epr
real*8 gam, sigr
integer na
pi=acos(-1.d0)
pm=939.0d0
pimass=140.d0
thr=th*pi/180.d0
pfr=230.d0
rm=1700.d0
epsr=0.d0
ar0=1200.d0
! ar1=1200.d0
! ar1=1000.d0 ! 2H
ar1=1200.d0 ! 12C
! gamqfr=120.d0
gamqfr=100.d0
! gamsprd=140.d0
gamsprd=0.d0
gamr=110.d0
! gampi=5.d0
gampi=25.d0
qfrp=0.68d-7
qmsqfr=4.d0*730.d0*(730.d0-115.d0)*sin(37.1d0*pi/180.d0/2.d0)**2
qvsqfr=qmsqfr+115.d0**2
qmsrr=4.d0*10000.d0*(10000.d0-1520.d0)*sin(6.d0*pi/180.d0/2.d0)**2
qvsrr=qmsrr+1520.d0**2
sigref=fd(qmsrr,ar0)**2*qvsrr
sigref=sigref*(qmsrr/2.d0/qvsrr+tan(6.d0*pi/180.d0/2.d0)**2)
sigref=sigref*sigmot(10000.d0,6.d0*pi/180.d0)
na=int(a)
if(na.eq.1)then
qfr=qfrp
gsprda=0.d0
ar=ar0
! elseif(na.lt.4)then
elseif(na.eq.2)then
qfr=qfrp
gsprda=(a-1.d0)*gamsprd/3.d0
! ar=ar0+(a-1.d0)*(ar1-ar0)/3.d0
ar=980.d0
else
ar=ar1
gsprda=gamsprd
qfr=qfrp
endif
qms=4.d0*e*(e-w)*sin(thr/2.d0)**2
qvs=qms+w**2
if(na.gt.1)then
gamq=gamqfr*pf*sqrt(qvs)/pfr/sqrt(qvsqfr)
else
gamq=0.d0
endif
cmtot2=pm**2+2.d0*pm*w-qms
wthresh=4.d0*e**2*sin(thr/2.d0)**2+pimass**2+2.d0*pimass*pm
wthresh=wthresh/2.d0/pm
thrshfree=1.d0+2.d0*e*sin(thr/2.d0)**2/pm
threshd=1.d0+pf/pm+pf**2/2.d0/pm**2+2.d0*e*sin(thr/2.d0)**2/pm
wthrfree=wthresh/thrshfree
wthresh=wthresh/threshd
if(w.gt.wthresh)then
if((z.ne.1).and.(a.ne.1)) gampi = wthrfree-wthresh
thresh=1.d0-exp( (-(w-wthresh)) / gampi )
else
thresh=0.d0
endif
epr=e-(rm-pm)*(rm+pm)/2.d0/pm
epr=epr/(1.d0+2.d0*e*sin(thr/2.d0)**2/pm)
epr=epr-epsr
c wr=e-epr
gam=sqrt(gamr**2+gamq**2+gsprda**2)
sigr=qfr*(gamr/gam)/sigref
sigr=sigr*cmtot2*gam**2
sigr=sigr/((cmtot2-(rm+epsr)**2)**2+cmtot2*gam**2)
sigr=sigr*qvs*fd(qms,ar)**2
sigr=sigr*(qms/2.d0/qvs+tan(thr/2.d0)**2)
sigr=sigr*sigmot(e,thr)
sigr2=a*thresh*sigr
return
end
*sig2n
real*8 function sig2n(e,th,w,z,a,pf)
implicit none
real*8 e,th,w,z,a,pf
real*8 pi, thr, dm, pimass, pm, a2, pfr, gam2n, gamqfr, gamref
real*8 gamr, qmsr, effmass, qvsr, fd, qms, qvs, gamqf
real*8 ekappa, cmtot2, gam, wthresh, thresh
real*8 sig, sigref, sigkin, sigmot, sigcon
pi=acos(-1.d0)
thr=th*pi/180.d0
dm=1219.d0
pimass=140.d0
pm=939.d0
! a2=550.d0
a2=500.d0
pfr=60.d0
gam2n=20.d0
! gam2n=40.d0
gamqfr=40.d0
gamref=300.d0
gamr=gamref
sigref=0.20d-7
qmsr=4.d0*596.8d0*(596.8d0-380.d0)*sin(60.d0*pi/180.d0/2.d0)**2
qvsr=qmsr+380.d0**2
sigkin=0.5d0*sigmot(596.8d0,60.d0*pi/180.d0)
sigkin=sigkin*(qmsr/2.d0/qvsr+tan(60.d0*pi/180.d0/2.d0)**2)
sigkin=sigkin*qvsr*fd(qmsr,a2)**2
sigkin=sigkin*gamr/gamref
sigcon=sigref/sigkin
qms=4.d0*e*(e-w)*sin(thr/2.d0)**2
qvs=qms+w**2
gamqf=gamqfr*(pf/pfr)*(sqrt(qvs)/sqrt(qvsr))
effmass=(pm+dm)/2.d0
sig=(z*(a-z)/a)*sigmot(e,thr)
sig=sig*(qms/2.d0/qvs+tan(thr/2.d0)**2)
sig=sig*qvs*fd(qms,a2)**2
ekappa=w-qms/2.d0/pm
cmtot2=pm**2+2.d0*pm*ekappa
c gam=sqrt(gamr**2+gamqf**2)
gam=gamr
sig=sig*cmtot2*gam**2
sig=sig/((cmtot2-effmass**2)**2+cmtot2*gam**2)
sig=sig*(gamr/gam)*sigcon
sig2n=sig
wthresh=qms/4.d0/pm
if(w.gt.wthresh)then
thresh=1.d0-exp( (-(w-wthresh)) / gam2n )
else
thresh=0.d0
endif
sig2n=sig2n*thresh
return
end
*radiate
subroutine radiate(e,th,w,z,a,signr,sigrad,delnu) ! 'delnu' added mar05
implicit none
real*8 e,th,w,z,a,signr,sigrad, delnu ! 'delnu' added mar05
real*8 eps,epsd,pf,spence, alph, emass, del, pi, prec, thr, arg
real*8 qms, d1, d2, ebar, x1, x2, ans, err
integer nsp, iflag, kf
common /par/ eps,epsd,pf,spence
alph=1.d0/137.03604d0
emass=0.511d0
del=10.d0
pi=acos(-1.d0)
prec=.0005d0
thr=th*pi/180.d0
arg=cos(thr/2.d0)**2
spence=pi**2/6.d0-log(arg)*log(1.d0-arg)
do 10 nsp=1,50
10 spence=spence-arg**nsp/dble(nsp)**2 !! float changed to dble mar05
c print 15,spence
15 format(' spence function = ',1f14.9)
qms=4.d0*e*(e-w)*sin(thr/2.d0)**2
d1=(2.d0*alph/pi)*(log(qms/emass**2)-1.d0)
d2=13.d0*(log(qms/emass**2)-1.d0)/12.d0-17.d0/36.d0
& -0.5d0*(pi**2/6.d0-spence)
d2=d2*(2.d0*alph/pi)
ebar=sqrt(e*(e-w))
sigrad=signr*(1.d0+d2)*exp((-d1)*log(ebar/del))
c print 20,d1,d2
20 format(' delta1 and delta2 = ',2e14.6)
x1=0.d0
x2=w-del
call rom(e,th,w,z,a,x1,x2,prec,ans,kf,delnu) ! 'delnu' added mar05
ans=ans*1.d-26
iflag=0
err=0.d0
c print 25,x1,x2,prec,ans,err
25 format(' x1,x2,prec,ans,err = ',5e10.3)
c print 30,kf,iflag
30 format(' kf,iflag = ',2i5)
sigrad=sigrad+ans
return
end
*rom
subroutine rom(e0,th0,w0,z0,a0,a,b,eps,ans,k,delnu) ! 'delnu' added mar05
implicit none
real*8 e0,th0,w0,z0,a0,a,b,eps,ans,delnu ! 'delnu' added mar05
real*8 h, fa, fb, e, x, sig, f
integer k,m,l,iu,iv, j, j1
c romberg method of integration
c dimension w(50,50)
real*8 w(50,50)
h=b-a
k=0
call value(e0,th0,w0,z0,a0,a,fa,delnu) ! 'delnu' added mar05
call value(e0,th0,w0,z0,a0,b,fb,delnu) ! 'delnu' added mar05
w(1,1)=(fa+fb)*h/2.d0
4 k=k+1
if(k.ge.49)go to 5
h=h/2.d0
sig=0.d0
m=2**(k-1)
do 1 j=1,m
j1=2*j-1
x=a+dble(j1)*h !! float changed to dble mar05
call value(e0,th0,w0,z0,a0,x,f,delnu) ! 'delnu' added mar05
1 sig=sig+f
w(k+1,1)=w(k,1)/2.d0+h*sig
do 2 l=1,k
iu=k+1-l
iv=l+1
2 w(iu,iv)=(4.d0**(iv-1)*w(iu+1,iv-1)-w(iu,iv-1)) /
& (4.d0**(iv-1)-1.d0)
e=(w(iu,iv)-w(iu,iv-1))/w(iu,iv)
if(abs(e)-eps) 3,3,4
3 ans=w(1,iv)
return
5 print 100
100 format(' k overflow')
stop
! call exit
end
*value
subroutine value(e,th,w,z,a,x,f,delnu) ! 'delnu' added mar05
implicit none
real*8 e,th,w,z,a,x,f, eps,epsd,pf,spence, alph, emass, pi,thr,
& delnu, qms1, qms2, qmsbar, f1, f2, d1, d2, ebar
real*8 sig1,sig2, sigqfs, sigdel, sigx, sigr1, sigr2, sig2n
common /par/ eps,epsd,pf,spence
alph=1.d0/137.03604d0
emass=.511d0
pi=acos(-1.d0)
thr=th*pi/180.d0
sig1=sigqfs(e,th,x,z,a,eps,pf,delnu)
sig1=sig1+sigdel(e,th,x,a,epsd,pf,z)
sig1=sig1+sigx(e,th,x,a)
sig1=sig1+sigr1(e,th,x,a,pf,z)
sig1=sig1+sigr2(e,th,x,a,pf,z)
sig1=sig1+sig2n(e,th,x,z,a,pf)
sig2=sigqfs(e-w+x,th,x,z,a,eps,pf,delnu)
sig2=sig2+sigdel(e-w+x,th,x,a,epsd,pf,z)
sig2=sig2+sigx(e-w+x,th,x,a)
sig2=sig2+sigr1(e-w+x,th,x,a,pf,z)
sig2=sig2+sigr2(e-w+x,th,x,a,pf,z)
sig2=sig2+sig2n(e-w+x,th,x,z,a,pf)
qms1=4.d0*e*(e-x)*sin(thr/2.d0)**2
qms2=4.d0*(e-w+x)*(e-w)*sin(thr/2.d0)**2
qmsbar=sqrt(qms1*qms2)
f1=(log(qms1/emass**2)-1.d0)/2.d0/(e-x)**2
f1=f1*sig1
f1=f1*alph*((e-x)**2+(e-w)**2)/(w-x)/pi
f2=sig2*(log(qms2/emass**2)-1.d0)/2.d0/e**2
f2=f2*alph*(e**2+(e-w+x)**2)/(w-x)/pi
d1=(2.d0*alph/pi)*(log(qmsbar/emass**2)-1.d0)
d2=13.d0*(log(qmsbar/emass**2)-1.d0)/12.d0-17.d0/36.d0
d2=(2.d0*alph/pi)*(d2-0.5d0*(pi**2/6.d0-spence))
ebar=sqrt((e-x)*(e-w))
f=(f1+f2)*(1.d0+d2)*((w-x)/ebar)**d1
return
end
*
subroutine get_gegm_prot(q2,ap,gepsq,gmpsq)
implicit none
real*8 q2,ap,gepsq,gmpsq,fd,gm,ge
character*8 model
real*8 fd1,fda,dipcorr
c
c return Ge^2 and Gm^2/u
c
model = 'bosted'
if ( model .eq. 'dipole') then
gepsq = fd(q2,ap)**2
gmpsq = fd(q2,ap)**2
endif
if ( model .eq. 'bosted') then
c A>1 dipole correction (bound nucleons)
fd1 = fd(q2,840.d0)
fda = fd(q2,ap)
dipcorr = fda/fd1
q2 = q2/1.d6
gm=1.d0+0.35d0*sqrt(q2)+2.44d0*q2+.5d0*sqrt(q2)*q2
gm = 1.d0/(gm +1.04d0*q2*q2 + .34d0*q2*q2*sqrt(q2))
ge=1.d0/(1.d0+0.62d0*sqrt(q2)+0.68d0*q2
1 +2.8d0*sqrt(q2)*q2+0.84d0*q2*q2)
c A>1 dipole correction (bound nucleons)
ge = ge*dipcorr