DV Plotting XSect
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Creating a program called MollerDiffXSect.c
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
main()
{
float angle,dSigma_dOmega;
double alpha=7.2973525664e-3;
double E_CM=53e6;
/* using equation from Landau-Lifshitz & Azfar */
/* units in MeV */
for(angle=90;angle<=180; angle=angle+.25)
{
dSigma_dOmega=(alpha*(3+cos(angle*3.14/180)*cos(angle*3.14/180)));
dSigma_dOmega=dSigma_dOmega*dSigma_dOmega;
dSigma_dOmega=dSigma_dOmega/(4*E_CM*E_CM*sin(angle*3.14/180)*sin(angle*3.14/180)*sin(angle*3.14/180)*sin(angle*3.14/180));
dSigma_dOmega=dSigma_dOmega*1e18;
dSigma_dOmega=dSigma_dOmega*.3892e-3;//barns
dSigma_dOmega=dSigma_dOmega/1e-6;//micro barns
fprintf(stdout," %f\t%f\n", angle, dSigma_dOmega);
}
}
Creating a Makefile with contents:
CC = gcc
DiffXSect: MollerDiffXSect.o
$(CC) $(CFLAGS) MollerDiffXSect.o -lm -o DiffXSect
MollerDiffXSect.o: MollerDiffXSect.c
$(CC) $(CFLAGS) -c MollerDiffXSect.c
The program can be run with the commands:
make DiffXSect ./DiffXSect >DiffXSect.dat
This creates a data file with the scattering angle theta and the corresponding theoretical Moller differential cross-section for said angle. A c++ macro can be written to input this into root
void MollerDiffXSect2Root()
{
struct evt_t
{
Int_t event;
Float_t Angle, dSigma_dOmega;
};
ifstream in;
in.open("DiffXSect.dat");
evt_t evt;
Int_t nlines=0;
int count=0;
TFile *f = new TFile("DiffXSect.root","RECREATE");
TTree *tree = new TTree("DiffXSect","Moller Diff Xsect");
TH1F *Th=new TH1F("Theory","Theoretical Differential Cross Section",360,90,180);
tree->Branch("evt",&evt.event,"event/F:Angle/F:dSigma_dOmega");
while(in.good())
{
evt.event=nlines;
in >> evt.Angle >> evt.dSigma_dOmega;
if(nlines==count)
{
printf( " %d %f %f\n",evt.event, evt.Angle, evt.dSigma_dOmega);
count=count+4;
}
nlines++;
tree->Fill();
Th->Fill(evt.Angle,evt.dSigma_dOmega);
}
tree->Print();
tree->Write();
f->Write();
in.close();
delete tree;
delete f;
}