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Copy pathKPlus_sig_Scaling.cc
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KPlus_sig_Scaling.cc
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// 31/01/23 - SJDK
// New file to get the KPlus cross section via the scaling method that Ali Usman utilised in preliminary kaon studies
// This method relies upon getting the pion cross section before subsequently scaling it
#include "KPlus_sig_Scaling.h"
#include "PiPlus_sig.h"
#include "PiPlus_sig_Param.h"
#include "reaction_routine.h"
#include "TF1.h"
#include "TString.h"
double GetKPlus_CrossSection_Scaling(double ft, double fw, double fqsq, double feps, double meson_mass, TString recoil_hadron){
double sig_total;
// --------------------------------------------------------------------------------------------------
// CKY sigma L and T starts
// --------------------------------------------------------------------------------------------------
double lpar0 = 0., lpar1 = 0., lpar2 = 0., lpar3 = 0., lpar4 = 0., lpar5 = 0., lpar6 = 0.;
double tpar0 = 0., tpar1 = 0., tpar2 = 0., tpar3 = 0., tpar4 = 0.;
lpar0 = 0.; lpar1 = 0.; lpar2 = 0.; lpar3 = 0.; lpar4 = 0.; lpar5 = 0.; lpar6 = 0.;
tpar0 = 0.; tpar1 = 0.; tpar2 = 0.; tpar3 = 0.; tpar4 = 0.;
fSig_L = 0;
fSig_T = 0;
if ( ( ft > 0. ) && ( ft < 0.15 ) ) {
PiPlus_sigmaL_Param( fw, fqsq, lpar0, lpar1, lpar2 , lpar3 , lpar4 , lpar5 , lpar6 );
TF1 *fitCKYLonglandau = new TF1("sigmaL","landau", 0.0 , 0.15 );
fitCKYLonglandau->FixParameter( 0 , lpar0 );
fitCKYLonglandau->FixParameter( 1 , lpar1 );
fitCKYLonglandau->FixParameter( 2 , lpar2 );
fSig_L = fitCKYLonglandau->Eval(ft);
if ( lpar0 == 0 || lpar1 == 0 || lpar2 == 0 )
fSig_L = 0;
fitCKYLonglandau = NULL;
delete fitCKYLonglandau;
}
else if ( ( ft > 0.15 ) && ( ft < 0.5 ) ) {
PiPlus_sigmaL_Param( fw, fqsq, lpar0, lpar1, lpar2 , lpar3 , lpar4 , lpar5 , lpar6 );
TF1 *fitCKYLongexpo1 = new TF1("sigmaL","expo", 0.15 , 0.5 );
fitCKYLongexpo1->FixParameter( 0 , lpar3 );
fitCKYLongexpo1->FixParameter( 1 , lpar4 );
fSig_L = fitCKYLongexpo1->Eval(ft);
if ( lpar3 == 0 || lpar4 == 0 )
fSig_L = 0;
fitCKYLongexpo1 = NULL;
delete fitCKYLongexpo1;
}
else if ( ( ft > 0.5 ) && ( ft < 1.3 ) ) {
PiPlus_sigmaL_Param( fw, fqsq, lpar0, lpar1, lpar2 , lpar3 , lpar4 , lpar5 , lpar6 );
TF1 *fitCKYLongexpo2 = new TF1("sigmaL","expo", 0.5 , 1.3 );
fitCKYLongexpo2->FixParameter( 0 , lpar5 );
fitCKYLongexpo2->FixParameter( 1 , lpar6 );
fSig_L = fitCKYLongexpo2->Eval(ft);
if ( lpar5 == 0 || lpar6 == 0 )
fSig_L = 0;
fitCKYLongexpo2 = NULL;
delete fitCKYLongexpo2;
}
else {
fSig_L = 0;
}
// SJDK - 02/06/22 - The validity range here was inconsistent, this only went from 0.0 to 0.15, leaving a gap between 0.15 to 0.2
// I changed the range to remove this gap.
if ( ( ft > 0.0 ) && ( ft < 0.2 ) ) {
PiPlus_sigmaT_Param( fw, fqsq, tpar0, tpar1, tpar2 , tpar3 , tpar4 );
TF1 *fitCKYTranspol2 = new TF1("sigmaL","pol2", 0.0 , 0.2 );
fitCKYTranspol2->FixParameter( 0 , tpar0 );
fitCKYTranspol2->FixParameter( 1 , tpar1 );
fitCKYTranspol2->FixParameter( 2 , tpar2 );
fSig_T = fitCKYTranspol2->Eval(ft);
if ( tpar0 == 0 || tpar1 == 0 || tpar2 == 0 )
fSig_T = 0;
fitCKYTranspol2 = NULL;
delete fitCKYTranspol2;
}
else if ( ( ft > 0.2 ) && ( ft < 1.3 ) ) {
PiPlus_sigmaT_Param( fw, fqsq, tpar0, tpar1, tpar2 , tpar3 , tpar4 );
TF1 *fitCKYTransexpo = new TF1("sigmaL","expo", 0.2 , 1.3 );
fitCKYTransexpo->FixParameter( 0 , tpar3 );
fitCKYTransexpo->FixParameter( 1 , tpar4 );
fSig_T = fitCKYTransexpo->Eval(ft);
if ( tpar3 == 0 || tpar4 == 0 )
fSig_T = 0;
fitCKYTransexpo = NULL;
delete fitCKYTransexpo;
}
// ------------------------------------------------------------------------------------------------
// Improving the Kaon Sigma_L following GH's fortran code (pole_ration.f) located in main driectory
// Added by AU on July 10, 2021
// ------------------------------------------------------------------------------------------------
double mkg = 0, mpig = 0, hbarc = 0, gpoleKL = 0, gpoleKS = 0, gpolepi = 0, gpoleKhyp = 0, r2_dip = 0, r2_mono = 0, Fpi_mono = 0, Fpi_dip = 0, pmono = 0, Fpi_fit = 0, fpisq = 0, Fkk = 0, fksq = 0, lNpi = 0, lNk = 0, gkhypn = 0, gpinn = 0, dl_poleKhyp = 0, dl_polepi = 0, ratio_Khyp_pi = 0, FT_GeV_neg = 0;
gpoleKL = -13.3;
gpoleKS = -3.5;
gpolepi = 13.1;
r2_dip = 0.411;
r2_mono = 0.431;
hbarc = 0.197;
mkg = meson_mass;
mpig = 0.13957;
FT_GeV_neg = -1.0 * ft;
if ( recoil_hadron == "Lambda" ) {
gpoleKhyp = gpoleKL;
}
else if ( recoil_hadron == "Sigma0" ) {
gpoleKhyp = gpoleKS;
}
Fpi_mono = 1.0 / ( 1.0 + ( r2_mono * fqsq) / (6 * (hbarc * hbarc)));
Fpi_dip = 1.0 / ( 1.0 + ( r2_dip * fqsq) / (12 * (hbarc * hbarc))) * ( 1.0 + ( r2_dip * fqsq) / (12 * (hbarc * hbarc)));
pmono = 0.85;
Fpi_fit = pmono * Fpi_mono + (1 - pmono) * Fpi_dip;
fpisq = Fpi_fit * Fpi_fit;
Fkk = 0.9 / (1.0 + fqsq / 0.462 );
fksq = Fkk * Fkk;
lNpi = 0.44;
lNk = (0.44+0.80)/2;
gkhypn = gpoleKhyp * ((lNk * lNk) - (mkg * mkg)) / ((lNk * lNk) - FT_GeV_neg);
gpinn = gpolepi * ((lNpi * lNpi) - (mpig * mpig)) / ((lNpi * lNpi) - FT_GeV_neg);
dl_poleKhyp = ((gkhypn * gkhypn) * fksq) / ((FT_GeV_neg - (mkg * mkg))*(FT_GeV_neg - (mkg * mkg)));
dl_polepi = ((gpinn * gpinn) * fpisq) / ((FT_GeV_neg - (mpig * mpig))*(FT_GeV_neg - (mpig * mpig)));
ratio_Khyp_pi = dl_poleKhyp / dl_polepi;
// --------------------------------------------------------------------------------
fSig_VR = (0.1* fSig_T) + feps * (ratio_Khyp_pi* fSig_L);
sig_total = fSig_VR;
return sig_total;
}