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//************************************************************************//
// //
// Copyright 2013 Bertram Kopf (bertram@ep1.rub.de) //
// Julian Pychy (julian@ep1.rub.de) //
// - Ruhr-Universität Bochum //
// //
// This file is part of Pawian. //
// //
// Pawian is free software: you can redistribute it and/or modify //
// it under the terms of the GNU General Public License as published by //
// the Free Software Foundation, either version 3 of the License, or //
// (at your option) any later version. //
// //
// Pawian is distributed in the hope that it will be useful, //
// but WITHOUT ANY WARRANTY; without even the implied warranty of //
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the //
// GNU General Public License for more details. //
// //
// You should have received a copy of the GNU General Public License //
// along with Pawian. If not, see <http://www.gnu.org/licenses/>. //
// //
//************************************************************************//
#include <iostream>
#include <cstring>
#include <string>
#include <sstream>
#include <vector>
#include "ErrLogger/ErrLogger.hh"
#include "PwaUtils/AbsStates.hh"
#include "pbarpUtils/pbarpStatesLS.hh"
#include "PwaUtils/DataUtils.hh"
#include "qft++/topincludes/relativistic-quantum-mechanics.hh"
int main(int __argc,char *__argv[]){
if( __argc>1 && ( strcmp( __argv[1], "-help" ) == 0
|| strcmp( __argv[1], "--help" ) == 0 ) ){
std::cout << "test application which calculates all initial pbar p amplitudes in the tensor formalism\n"
<< "with -msg <errorLogMode>: choose the mode for the error logger \n"
<< "with -lmax <value>: choose the maximum Spin J \n"
<< std::endl;
return 0;
}
int optind=1;
std::string msgModeStr="default";
std::string lmaxStr="0";
// decode arguments
while ((optind < (__argc-1) ) && (__argv[optind][0]=='-')) {
bool found=false;
std::string sw = __argv[optind];
if (sw=="-msg"){
optind++;
msgModeStr = __argv[optind];
found=true;
}
if(sw=="-lmax"){
optind++;
lmaxStr = __argv[optind];
found=true;
}
if (!found){
Warning << "Unknown switch: "
<< __argv[optind] << endmsg;
optind++;
}
while ( (optind < __argc ) && __argv[optind][0]!='-' ) optind++;
}
if(msgModeStr == "debugging") ErrLogger::instance()->setLevel(log4cpp::Priority::DEBUG);
else if(msgModeStr == "trace") ErrLogger::instance()->setLevel(log4cpp::Priority::INFO);
else if(msgModeStr == "routine") ErrLogger::instance()->setLevel(log4cpp::Priority::INFO);
else if(msgModeStr == "warning") ErrLogger::instance()->setLevel(log4cpp::Priority::WARN);
else if(msgModeStr == "error") ErrLogger::instance()->setLevel(log4cpp::Priority::ERROR);
else {
ErrLogger::instance()->setLevel(log4cpp::Priority::INFO);
Warning << "ErrorLogger not (properly) set -> Use mode 'WARN' " << endmsg;
}
std::stringstream lmaxStrStr(lmaxStr);
int lmax=2;
lmaxStrStr >> lmax;
Info << "lmax: " << lmax << endmsg;
pbarpStatesLS thepbarpState(lmax);
thepbarpState.print(std::cout);
double pbarMass=0.93827;
double pMass=0.93827;
double pbarMom=0.9;
Vector4<double> pbar4Vec(sqrt(pbarMass*pbarMass+pbarMom*pbarMom), 0.,0., pbarMom);
Vector4<double> p4Vec(pMass, 0.,0.,0.);
Vector4<double> allVec=pbar4Vec+p4Vec;
std::cout << "\n\npbar4Vec: " << pbar4Vec << std::endl;
std::cout << "p4Vec: " << p4Vec << std::endl;
std::cout << "allVec: " << allVec << std::endl;
Vector4<double> pbarCM4Vec=pbar4Vec;
Vector4<double> pCM4Vec=p4Vec;
Vector4<double> allCM4Vec=allVec;
pbarCM4Vec.Boost(allVec);
pCM4Vec.Boost(allVec);
allCM4Vec.Boost(allVec);
std::cout << "\npbarCM4Vec: " << pbarCM4Vec << std::endl;
std::cout << "pCM4Vec: " << pCM4Vec << std::endl;
std::cout << "allCM4Vec: " << allCM4Vec << std::endl;
DiracGamma5 gamma5;
DiracGamma gamma;
DiracAntiSpinor pbarAntiSpinor; // pbar anti spinor
DiracSpinor pbarSpinor; // pbar spinor
DiracSpinor pSpinor; // p spinor
pbarAntiSpinor.SetP4(pbar4Vec, pbarMass);
pbarSpinor.SetP4(pbar4Vec, pbarMass);
pSpinor.SetP4(p4Vec, pMass);
// std::cout << "\npbarAntiSpinor(1/2):\n" << pbarAntiSpinor(1./2) << std::endl;
// std::cout << "\nBar(pbarAntiSpinor(1/2)):\n" << Bar(pbarAntiSpinor(1./2)) << std::endl;
// std::cout << "\npbarAntiSpinor(-1/2):\n" << pbarAntiSpinor(-1./2) << std::endl;
// std::cout << "\nBar(pbarAntiSpinor(-1/2)):\n" << Bar(pbarAntiSpinor(-1./2)) << std::endl;
// std::cout << "pbarSpinor(1/2):\n" << pbarSpinor(1./2) << std::endl;
// std::cout << "Bar(pbarSpinor(1/2)):\n" << Bar(pbarSpinor(1./2)) << std::endl;
// std::cout << "pbarSpinor(-1/2):\n" << pbarSpinor(-1./2) << std::endl;
// std::cout << "Bar(pbarSpinor(-1/2)):\n" << Bar(pbarSpinor(-1./2)) << std::endl;
// std::cout << "pSpinor(1/2):\n" << pSpinor(1./2) << std::endl;
// std::cout << "pSpinor(-1/2):\n" << pSpinor(-1./2) << std::endl;
DiracAntiSpinor pbarAntiSpinorCM; // pbar spinor
DiracSpinor pbarSpinorCM; // pbar spinor
DiracSpinor pSpinorCM; // p spinor
pbarAntiSpinorCM.SetP4(pbarCM4Vec, pbarMass);
pbarSpinorCM.SetP4(pbarCM4Vec, pbarMass);
pSpinorCM.SetP4(pCM4Vec, pMass);
// std::cout << "\npbarAntiSpinorCM(1/2):\n" << pbarAntiSpinorCM(1./2) << std::endl;
// std::cout << "\npbarAntiSpinorCM(-1/2):\n" << pbarAntiSpinorCM(-1./2) << std::endl;
// std::cout << "pbarSpinorCM(1/2):\n" << pbarSpinorCM(1./2) << std::endl;
// std::cout << "pbarSpinorCM(-1/2):\n" << pbarSpinorCM(-1./2) << std::endl;
// std::cout << "pSpinorCM(1/2):\n" << pSpinorCM(1./2) << std::endl;
// std::cout << "pSpinorCM(-1/2):\n" << pSpinorCM(-1./2) << std::endl;
double psi0AtRestNom=(pbarCM4Vec.E()+pbarCM4Vec.M())*(pCM4Vec.E()+pCM4Vec.M())+pCM4Vec.P()*pCM4Vec.P();
double psi0AtRestDemom=sqrt(4.*pbarCM4Vec.M()*pCM4Vec.M()*(pbarCM4Vec.E()+pbarCM4Vec.M())*(pCM4Vec.E()+pCM4Vec.M()));
double psi0AtRest=psi0AtRestNom/psi0AtRestDemom;
std::cout << "\nPsi0AtRest:\n" << psi0AtRest << std::endl;
double psi1Fac1=sqrt((pbarCM4Vec.E()+pbarCM4Vec.M())*(pCM4Vec.E()+pCM4Vec.M())/(4.*pbarCM4Vec.M()*pCM4Vec.M()));
double psi1Fac2=1.+pCM4Vec.P()*pCM4Vec.P()/((pbarCM4Vec.E()+pbarCM4Vec.M())*(pCM4Vec.E()+pCM4Vec.M()));
Matrix<complex<double> > chiP12(2,1);
chiP12(0,0) = 1.;
chiP12(1,0) = 0.;
Matrix<complex<double> > chiPm12(2,1);
chiPm12(0,0) = 0.;
chiPm12(1,0) = 1.;
Matrix<complex<double> > chiPbar12Dagger(2,1);
chiPbar12Dagger=chiP12.Adjoint();
Matrix<complex<double> > chiPbarm12Dagger(2,1);
chiPbarm12Dagger=chiPm12.Adjoint();
PauliSigma pauliSigma;
Matrix<complex<double> > psi1_12_m12_0=(chiPbar12Dagger*pauliSigma[0]*chiPm12);
std::cout << " psi1_12_m12_0: " << psi1_12_m12_0 << std::endl;
Matrix<complex<double> > psi1_12_m12_1=(chiPbar12Dagger*pauliSigma[1]*chiPm12);
std::cout << " psi1_12_m12_1: " << psi1_12_m12_1 << std::endl;
Matrix<complex<double> > psi1_12_12_0=psi1Fac1*psi1Fac2*(chiPbar12Dagger*pauliSigma[0]*chiP12);
std::cout << " psi1_12_12_0: " << psi1_12_12_0 << std::endl;
Matrix<complex<double> > psi1_12_12_1=psi1Fac1*psi1Fac2*(chiPbar12Dagger*pauliSigma[1]*chiP12);
std::cout << " psi1_12_12_1: " << psi1_12_12_1 << std::endl;
Matrix<complex<double> > psi1_m12_m12_0=psi1Fac1*psi1Fac2*(chiPbarm12Dagger*pauliSigma[0]*chiPm12);
std::cout << " psi1_m12_m12_0: " << psi1_m12_m12_0 << std::endl;
Matrix<complex<double> > psi1_m12_m12_1=psi1Fac1*psi1Fac2*(chiPbarm12Dagger*pauliSigma[1]*chiPm12);
std::cout << " psi1_m12_m12_1: " << psi1_m12_m12_1 << std::endl;
std::cout << "\nBar(pSpinorCM(1./2))*gamma5*pbarAntiSpinorCM(-1./2):\n" << Bar(pSpinorCM(1./2))*gamma5*pbarAntiSpinorCM(-1./2) << std::endl;
std::cout << "\nBar(pSpinor(1./2))*gamma5*pbarAntiSpinor(-1./2):\n" << Bar(pSpinor(1./2))*gamma5*pbarAntiSpinor(-1./2) << std::endl;
Tensor<complex<double> > Psi0_m12_12=Bar(pSpinor(1./2))*gamma5*pbarAntiSpinor(-1./2);
Tensor<complex<double> > Psi0_m12_12CM=Bar(pSpinorCM(-1./2))*gamma5*pbarAntiSpinorCM(1./2);
std::cout << "\nPsi0_m12_12:\n" << Psi0_m12_12 << std::endl;
std::cout << "\nPsi0_m12_12CM:\n" << Psi0_m12_12CM << std::endl;
Tensor<complex<double> > Psi0_12_m12=Bar(pSpinor(1./2))*gamma5*pbarAntiSpinor(-1./2);
Tensor<complex<double> > Psi0_12_m12CM=Bar(pSpinorCM(1./2))*gamma5*pbarAntiSpinorCM(-1./2);
std::cout << "\nPsi0_12_m12:\n" << Psi0_12_m12 << std::endl;
std::cout << "\nPsi0_12_m12CM:\n" << Psi0_12_m12CM << std::endl;
// Tensor<complex<double> > Psi0_12_12=Bar(pSpinor(1./2))*gamma5*pbarAntiSpinor(1./2);
// Tensor<complex<double> > Psi0_12_12CM=Bar(pSpinorCM(1./2))*gamma5*pbarAntiSpinorCM(1./2);
// std::cout << "\nPsi0_12_12:\n" << Psi0_12_12 << std::endl;
// std::cout << "\nPsi0_12_12CM:\n" << Psi0_12_12CM << std::endl;
// Tensor<complex<double> > Psi0_m12_m12=Bar(pSpinor(-1./2))*gamma5*pbarAntiSpinor(-1./2);
// Tensor<complex<double> > Psi0_m12_m12CM=Bar(pSpinorCM(-1./2))*gamma5*pbarAntiSpinorCM(-1./2);
// std::cout << "\nPsi0_m12_m12:\n" << Psi0_m12_m12 << std::endl;
// std::cout << "\nPsi0_m12_m12CM:\n" << Psi0_m12_m12CM << std::endl;
Tensor<complex<double> > cancelTerm=(pbar4Vec-p4Vec)/(pbarMass+pMass+allVec.M());
Tensor<complex<double> > cancelTermCM=(pbarCM4Vec-pCM4Vec)/(pbarMass+pMass+allCM4Vec.M());
Tensor<complex<double> > Psi1_12_12=Bar(pbarAntiSpinor(1./2))*gamma*pSpinor(1./2)-Bar(pbarAntiSpinor(1./2))*cancelTerm*pSpinor(1./2);
Tensor<complex<double> > Psi1_12_12CM=Bar(pbarAntiSpinorCM(1./2))*gamma*pSpinorCM(1./2)-Bar(pbarAntiSpinorCM(1./2))*cancelTermCM*pSpinor(1./2);
std::cout << "\nBar(pSpinor(1./2))*gamma*pAntiSpinor(1./2):" << Bar(pSpinor(1./2))*gamma*pbarAntiSpinor(1./2) << std::endl;
std::cout << "\nBar(pSpinor(-1./2))*gamma*pAntiSpinor(-1./2):" << Bar(pSpinor(-1./2))*gamma*pbarAntiSpinor(-1./2) << std::endl;
std::cout << "\nBar(pSpinor(1./2))*gamma*pAntiSpinor(-1./2):" << Bar(pSpinor(1./2))*gamma*pbarAntiSpinor(-1./2) << std::endl;
std::cout << "\nBar(pSpinor(1./2))*cancelTerm*pbarAntiSpinor(1./2):" << Bar(pSpinor(1./2))*cancelTerm*pbarAntiSpinor(1./2) << std::endl;
std::cout << "\nBar(pbarAntiSpinor(1./2))*cancelTerm*pSpinor(1./2):" << Bar(pbarAntiSpinor(1./2))*cancelTerm*pSpinor(1./2) << std::endl;
std::cout << "\nBar(pbarSpinor(1./2))*cancelTerm*pSpinor(1./2):" << Bar(pbarSpinor(1./2))*cancelTerm*pSpinor(1./2) << std::endl;
std::cout << "\nBar(pbarAntiSpinor(-1./2))*cancelTerm*pSpinor(1./2):" << Bar(pbarAntiSpinor(-1./2))*cancelTerm*pSpinor(1./2) << std::endl;
std::cout << "\nBar(pbarAntiSpinor(1./2))*cancelTerm*pSpinor(-1./2):" << Bar(pbarAntiSpinor(-1./2))*cancelTerm*pSpinor(1./2) << std::endl;
// std::cout << "\npbarSpinor(1./2)*cancelTerm*pSpinor(1./2):" << pbarSpinor(1./2)*cancelTerm*pSpinor(1./2) << std::endl;
std::cout << "\nPsi1_12_12:\n" << Psi1_12_12 << std::endl;
std::cout << "\nPsi1_12_12CM:\n" << Psi1_12_12CM << std::endl;
Tensor<complex<double> > Psi1_m12_12=Bar(pbarAntiSpinor(-1./2))*gamma*pSpinor(1./2)-Bar(pbarAntiSpinor(-1./2))*cancelTerm*pSpinor(1./2);
Tensor<complex<double> > Psi1_m12_12CM=Bar(pbarAntiSpinorCM(-1./2))*gamma*pSpinorCM(1./2)-Bar(pbarAntiSpinorCM(-1./2))*cancelTermCM*pSpinorCM(1./2);
std::cout << "\nPsi1_m12_12:\n" << Psi1_m12_12 << std::endl;
std::cout << "\nPsi1_m12_12CM:\n" << Psi1_m12_12CM << std::endl;
Tensor<complex<double> > Psi1_12_m12=Bar(pbarAntiSpinor(1./2))*gamma*pSpinor(-1./2)-Bar(pbarAntiSpinor(1./2))*cancelTerm*pSpinor(-1./2);
Tensor<complex<double> > Psi1_12_m12CM=Bar(pbarAntiSpinorCM(1./2))*gamma*pSpinorCM(-1./2)-Bar(pbarAntiSpinorCM(1./2))*cancelTermCM*pSpinorCM(-1./2);
std::cout << "\nPsi1_12_m12:\n" << Psi1_12_m12 << std::endl;
std::cout << "\nPsi1_12_m12CM:\n" << Psi1_12_m12CM << std::endl;
Tensor<complex<double> > Psi1_m12_m12=Bar(pbarAntiSpinor(-1./2))*gamma*pSpinor(-1./2)-Bar(pbarAntiSpinor(-1./2))*cancelTerm*pSpinor(-1./2);
Tensor<complex<double> > Psi1_m12_m12CM=Bar(pbarAntiSpinorCM(-1./2))*gamma*pSpinorCM(-1./2)-Bar(pbarAntiSpinorCM(-1./2))*cancelTermCM*pSpinorCM(-1./2);
std::cout << "\nPsi1_m12_m12:\n" << Psi1_m12_m12 << std::endl;
std::cout << "\nPsi1_m12_m12CM:\n" << Psi1_m12_m12CM << std::endl;
std::cout <<"\n\n\n" << "*** singlet states ******" <<"\n\n\n" << std::endl;
std::vector< std::shared_ptr<const JPCLS> >::const_iterator itJPCLS;
std::vector< std::shared_ptr<const JPCLS> > jpclsStatesSiglet=thepbarpState.singlet_JPCLS_States();
for(itJPCLS=jpclsStatesSiglet.begin(); itJPCLS!=jpclsStatesSiglet.end(); ++itJPCLS){
OrbitalTensor currentTensor((*itJPCLS)->L);
currentTensor.SetP4(pbar4Vec,p4Vec);
PolVector currentPolVec((*itJPCLS)->J);
currentPolVec.SetP4(allVec, allVec.M());
Tensor<complex<double> > result= conj(currentPolVec(0)) | currentTensor;
result*= Psi0_m12_12;
std::cout <<"\n" << (*itJPCLS)->name() << std::endl;
std::cout <<"result: " << result << "\n" << std::endl;
OrbitalTensor currentTensorCM((*itJPCLS)->L);
currentTensorCM.SetP4(pbarCM4Vec,pCM4Vec);
PolVector currentPolVecCM((*itJPCLS)->J);
currentPolVecCM.SetP4(allCM4Vec, allCM4Vec.M());
Tensor<complex<double> > resultCM= conj(currentPolVecCM(0)) | currentTensorCM;
result*= Psi0_m12_12CM;
std::cout <<"resultCM: " << resultCM << "\n" << std::endl;
}
std::cout <<"\n\n\n" << "*** triplet 0 states ******" <<"\n\n\n" << std::endl;
std::vector< std::shared_ptr<const JPCLS> > jpclsStatesTriplet0=thepbarpState.triplet0_JPCLS_States();
for(itJPCLS=jpclsStatesTriplet0.begin(); itJPCLS!=jpclsStatesTriplet0.end(); ++itJPCLS){
OrbitalTensor currentTensor((*itJPCLS)->L);
currentTensor.SetP4(pbar4Vec,p4Vec);
PolVector currentPolVec((*itJPCLS)->J);
currentPolVec.SetP4(allVec, allVec.M());
Tensor<complex<double> > result;
if ((*itJPCLS)->J > (*itJPCLS)->L) result= conj(currentPolVec(0)) | (Psi1_m12_12 % currentTensor);
else result= conj(currentPolVec(0)) | (Psi1_m12_12 * currentTensor );
std::cout <<"\n" << (*itJPCLS)->name() << std::endl;
std::cout <<"result Psi1 -1/2 1/2: " << result << "\n" << std::endl;
Tensor<complex<double> > result1;
if ((*itJPCLS)->J > (*itJPCLS)->L) result1=conj(currentPolVec(0)) | (Psi1_12_m12 % currentTensor);
else result1=conj(currentPolVec(0)) | (Psi1_12_m12 * currentTensor );
std::cout <<"result Psi1 1/2 -1/2: " << result1 << "\n" << std::endl;
}
LeviCivitaTensor lctTensor;
Tensor<complex<double> > levipTensor=pbar4Vec*lctTensor;
std::cout <<"\n\n\n" << "*** triplet 1 states ******" <<"\n\n\n" << std::endl;
std::vector< std::shared_ptr<const JPCLS> > jpclsStatesTriplet1=thepbarpState.tripletp1_JPCLS_States();
for(itJPCLS=jpclsStatesTriplet1.begin(); itJPCLS!=jpclsStatesTriplet1.end(); ++itJPCLS){
OrbitalTensor currentTensor((*itJPCLS)->L);
currentTensor.SetP4(pbar4Vec,p4Vec);
PolVector currentPolVec((*itJPCLS)->J);
currentPolVec.SetP4(allVec, allVec.M());
Tensor<complex<double> > result;
Tensor<complex<double> > resultm1m1;
if ((*itJPCLS)->J > (*itJPCLS)->L){
result=conj(currentPolVec(1)) | (Psi1_12_12 % currentTensor);
resultm1m1=conj(currentPolVec(-1)) | (Psi1_m12_m12 % currentTensor);
}
else if ((*itJPCLS)->J == (*itJPCLS)->L){
Tensor<complex<double> > tmpResult=levipTensor*Psi1_12_12;
Tensor<complex<double> > tmpResult1=tmpResult.Permute(0, tmpResult.Rank()-1)*currentTensor;
result= conj(currentPolVec(1)) | tmpResult1;
Tensor<complex<double> > tmpResultm1m1=levipTensor*Psi1_m12_m12;
Tensor<complex<double> > tmpResult1m1m1=tmpResultm1m1.Permute(0, tmpResultm1m1.Rank()-1)*currentTensor;
resultm1m1= conj(currentPolVec(-1)) | tmpResult1m1m1;
}
else{
result=conj(currentPolVec(1)) | (Psi1_12_12 * currentTensor );
resultm1m1=conj(currentPolVec(-1)) | (Psi1_m12_m12 * currentTensor );
}
std::cout <<"\n" << (*itJPCLS)->name() << std::endl;
std::cout <<"result M1 Psi 1/2 1/2: " << result << "\n" << std::endl;
std::cout <<"result M-1 Psi -1/2 -1/2: " << resultm1m1 << "\n" << std::endl;
}
return 0;
}