G4QGSMSplitableHadron.cc

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#include "G4QGSMSplitableHadron.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4ParticleTable.hh" 
#include "G4PionPlus.hh"
#include "G4PionMinus.hh"
#include "G4Gamma.hh"
#include "G4PionZero.hh"
#include "G4KaonPlus.hh"
#include "G4KaonMinus.hh"

#include "G4Log.hh"
#include "G4Pow.hh"


// based on prototype by Maxim Komogorov
// Splitting into methods, and centralizing of model parameters HPW Feb 1999
// restructuring HPW Feb 1999
// fixing bug in the sampling of 'x', HPW Feb 1999
// fixing bug in sampling pz, HPW Feb 1999. 
// Code now also good for p-nucleus scattering (before only p-p), HPW Feb 1999.
// Using Parton more directly, HPW Feb 1999.
// Shortening the algorithm for sampling x, HPW Feb 1999.
// sampling of x replaced by formula, taking X_min into account in the correlated sampling. HPW, Feb 1999.
// logic much clearer now. HPW Feb 1999
// Removed the ordering problem. No Direction needed in selection of valence quark types. HPW Mar'99.
// Fixing p-t distributions for scattering of nuclei.
// Separating out parameters.

void G4QGSMSplitableHadron::InitParameters()
{
        // changing rapidity distribution for all
        alpha = -0.5; // Note that this number is still assumed in the algorithm
        // needs to be generalized.
        // changing rapidity distribution for projectile like
        beta = 2.5;// Note that this number is still assumed in the algorithm
        // needs to be generalized.
        theMinPz = 0.5*G4PionMinus::PionMinus()->GetPDGMass();
        //  theMinPz = 0.1*G4PionMinus::PionMinus()->GetPDGMass();
        //  theMinPz = G4PionMinus::PionMinus()->GetPDGMass();
        // as low as possible, otherwise, we have unphysical boundary conditions in the sampling.
        StrangeSuppress = 0.48;
        sigmaPt = 0.*GeV; // widens eta slightly, if increased to 1.7,
        // but Maxim's algorithm breaks energy conservation
        // to be revised.
        widthOfPtSquare = 0.01*GeV*GeV;
        Direction = FALSE;
        minTransverseMass = 1*keV;
} 

G4QGSMSplitableHadron::G4QGSMSplitableHadron() 
{
        InitParameters();
}

G4QGSMSplitableHadron::G4QGSMSplitableHadron(const G4ReactionProduct & aPrimary, G4bool aDirection)
:G4VSplitableHadron(aPrimary)
{
        InitParameters();
        Direction = aDirection;
}


G4QGSMSplitableHadron::G4QGSMSplitableHadron(const G4ReactionProduct & aPrimary)
:  G4VSplitableHadron(aPrimary)
{
        InitParameters();
}

G4QGSMSplitableHadron::G4QGSMSplitableHadron(const G4Nucleon & aNucleon)
:  G4VSplitableHadron(aNucleon)
{
        InitParameters();
}

G4QGSMSplitableHadron::G4QGSMSplitableHadron(const G4Nucleon & aNucleon, G4bool aDirection)
:  G4VSplitableHadron(aNucleon)
{
        InitParameters();
        Direction = aDirection;
}

G4QGSMSplitableHadron::~G4QGSMSplitableHadron(){}



//**************************************************************************************************************************

void G4QGSMSplitableHadron::SplitUp()
{  
        if (IsSplit()) return;
        Splitting();
        if (Color.size()!=0) return;
        if (GetSoftCollisionCount() == 0)
        {
                DiffractiveSplitUp();
        }
        else
        {
                SoftSplitUp();
        }
}

void G4QGSMSplitableHadron::DiffractiveSplitUp()
{   
        // take the particle definitions and get the partons HPW
        G4Parton * Left = NULL;
        G4Parton * Right = NULL;
        GetValenceQuarkFlavors(GetDefinition(), Left, Right);
        Left->SetPosition(GetPosition());
        Right->SetPosition(GetPosition());

        G4LorentzVector HadronMom = Get4Momentum();
        //std::cout << "DSU 1 - "<<HadronMom<<std::endl;

        // momenta of string ends
        G4double pt2 = HadronMom.perp2();
        G4double transverseMass2 = HadronMom.plus()*HadronMom.minus();
        G4double maxAvailMomentum2 = sqr(std::sqrt(transverseMass2) - std::sqrt(pt2));
        G4ThreeVector pt(minTransverseMass, minTransverseMass, 0);
        if(maxAvailMomentum2/widthOfPtSquare>0.01) pt = GaussianPt(widthOfPtSquare, maxAvailMomentum2);
        //std::cout << "DSU 1.1 - "<< maxAvailMomentum2<< pt <<std::endl;

        G4LorentzVector LeftMom(pt, 0.);
        G4LorentzVector RightMom;
        RightMom.setPx(HadronMom.px() - pt.x());
        RightMom.setPy(HadronMom.py() - pt.y());
        //std::cout << "DSU 2 - "<<RightMom<<" "<< LeftMom <<std::endl;

        G4double Local1 = HadronMom.minus() + (RightMom.perp2() - LeftMom.perp2())/HadronMom.plus();
        G4double Local2 = std::sqrt(std::max(0., sqr(Local1) - 4.*RightMom.perp2()*HadronMom.minus()/HadronMom.plus()));
        //std::cout << "DSU 3 - "<< Local1 <<" "<< Local2 <<std::endl;
        if (Direction) Local2 = -Local2;
        G4double RightMinus   = 0.5*(Local1 + Local2);
        G4double LeftMinus = HadronMom.minus() - RightMinus;
        //std::cout << "DSU 4 - "<< RightMinus <<" "<< LeftMinus << " "<<HadronMom.minus() <<std::endl;

        G4double LeftPlus  = LeftMom.perp2()/LeftMinus;
        G4double RightPlus = HadronMom.plus() - LeftPlus;
        //std::cout << "DSU 5 - "<< RightPlus <<" "<< LeftPlus <<std::endl;
        LeftMom.setPz(0.5*(LeftPlus - LeftMinus));
        LeftMom.setE (0.5*(LeftPlus + LeftMinus));
        RightMom.setPz(0.5*(RightPlus - RightMinus));
        RightMom.setE (0.5*(RightPlus + RightMinus));
        //std::cout << "DSU 6 - "<< LeftMom <<" "<< RightMom <<std::endl;
        Left->Set4Momentum(LeftMom);
        Right->Set4Momentum(RightMom);
        Color.push_back(Left);
        AntiColor.push_back(Right);
}


void G4QGSMSplitableHadron::SoftSplitUp()
{
        //... sample transversal momenta for sea and valence quarks
        G4double phi, pts;
        G4double SumPy = 0.;
        G4double SumPx = 0.;
        G4ThreeVector Pos    = GetPosition();
        G4int nSeaPair = GetSoftCollisionCount()-1;

        // here the condition,to ensure viability of splitting, also in cases
        // where difractive excitation occured together with soft scattering.
        //   G4double LightConeMomentum = (Direction)? Get4Momentum().plus() : Get4Momentum().minus();
        //   G4double Xmin = theMinPz/LightConeMomentum;
        G4double Xmin = theMinPz/( Get4Momentum().e() - GetDefinition()->GetPDGMass() );
        while(Xmin>=1-(2*nSeaPair+1)*Xmin) Xmin*=0.95;  /* Loop checking, 26.10.2015, A.Ribon */

        G4int aSeaPair;
        for (aSeaPair = 0; aSeaPair < nSeaPair; aSeaPair++)
        {
                //  choose quark flavour, d:u:s = 1:1:(1/StrangeSuppress-2)

                G4int aPDGCode = 1 + (G4int)(G4UniformRand()/StrangeSuppress);

                //  BuildSeaQuark() determines quark spin, isospin and colour
                //  via parton-constructor G4Parton(aPDGCode)

                G4Parton * aParton = BuildSeaQuark(false, aPDGCode, nSeaPair);

                //              G4cerr << "G4QGSMSplitableHadron::SoftSplitUp()" << G4endl;

                //              G4cerr << "Parton 1: "
                //                     << " PDGcode: "  << aPDGCode
                //                     << " - Name: "   << aParton->GetDefinition()->GetParticleName()
                //                     << " - Type: "   << aParton->GetDefinition()->GetParticleType()
                //                     << " - Spin-3: " << aParton->GetSpinZ()
                //                     << " - Colour: " << aParton->GetColour() << G4endl;

                // save colour a spin-3 for anti-quark

                G4int firstPartonColour = aParton->GetColour();
                G4double firstPartonSpinZ = aParton->GetSpinZ();

                SumPx += aParton->Get4Momentum().px();
                SumPy += aParton->Get4Momentum().py();
                Color.push_back(aParton);

                // create anti-quark

                aParton = BuildSeaQuark(true, aPDGCode, nSeaPair);
                aParton->SetSpinZ(-firstPartonSpinZ);
                aParton->SetColour(-firstPartonColour);

                //              G4cerr << "Parton 2: "
                //                     << " PDGcode: "  << -aPDGCode
                //                     << " - Name: "   << aParton->GetDefinition()->GetParticleName()
                //                     << " - Type: "   << aParton->GetDefinition()->GetParticleType()
                //                     << " - Spin-3: " << aParton->GetSpinZ()
                //                     << " - Colour: " << aParton->GetColour() << G4endl;
                //              G4cerr << "------------" << G4endl;

                SumPx += aParton->Get4Momentum().px();
                SumPy += aParton->Get4Momentum().py();
                AntiColor.push_back(aParton);
        }
        // Valence quark
        G4Parton* pColorParton = NULL;
        G4Parton* pAntiColorParton = NULL;
        GetValenceQuarkFlavors(GetDefinition(), pColorParton, pAntiColorParton);
        G4int ColorEncoding = pColorParton->GetPDGcode();

        pts   =  sigmaPt*std::sqrt(-G4Log(G4UniformRand()));
        phi   = 2.*pi*G4UniformRand();
        G4double Px = pts*std::cos(phi);
        G4double Py = pts*std::sin(phi);
        SumPx += Px;
        SumPy += Py;

        if (ColorEncoding < 0) // use particle definition
        {
                G4LorentzVector ColorMom(-SumPx, -SumPy, 0, 0);
                pColorParton->Set4Momentum(ColorMom);
                G4LorentzVector AntiColorMom(Px, Py, 0, 0);
                pAntiColorParton->Set4Momentum(AntiColorMom);
        }
        else
        {
                G4LorentzVector ColorMom(Px, Py, 0, 0);
                pColorParton->Set4Momentum(ColorMom);
                G4LorentzVector AntiColorMom(-SumPx, -SumPy, 0, 0);
                pAntiColorParton->Set4Momentum(AntiColorMom);
        }
        Color.push_back(pColorParton);
        AntiColor.push_back(pAntiColorParton);

        // Sample X
        G4int nAttempt = 0;
        G4double SumX = 0;
        G4double aBeta = beta;
        G4double ColorX, AntiColorX;
        if (GetDefinition() == G4PionMinus::PionMinusDefinition()) aBeta = 1.;
        if (GetDefinition() == G4Gamma::GammaDefinition()) aBeta = 1.;
        if (GetDefinition() == G4PionPlus::PionPlusDefinition()) aBeta = 1.;
        if (GetDefinition() == G4PionZero::PionZeroDefinition()) aBeta = 1.;
        if (GetDefinition() == G4KaonPlus::KaonPlusDefinition()) aBeta = 0.;
        if (GetDefinition() == G4KaonMinus::KaonMinusDefinition()) aBeta = 0.;
        const G4int maxNumberOfAttempts = 1000;
        do
        {
                SumX = 0;
                nAttempt++;
                G4int    NumberOfUnsampledSeaQuarks = 2*nSeaPair;
                ColorX = SampleX(Xmin, NumberOfUnsampledSeaQuarks, 2*nSeaPair, aBeta);
                Color.back()->SetX(SumX = ColorX);// this is the valenz quark.
                for(G4int aPair = 0; aPair < nSeaPair; aPair++)
                {
                        NumberOfUnsampledSeaQuarks--;
                        ColorX = SampleX(Xmin, NumberOfUnsampledSeaQuarks, 2*nSeaPair, aBeta);
                        Color[aPair]->SetX(ColorX);
                        SumX += ColorX;
                        NumberOfUnsampledSeaQuarks--;
                        AntiColorX = SampleX(Xmin, NumberOfUnsampledSeaQuarks, 2*nSeaPair, aBeta);
                        AntiColor[aPair]->SetX(AntiColorX); // the 'sea' partons
                        SumX += AntiColorX;
                        if (1. - SumX <= Xmin)  break;
                }
        }
        while ( (1. - SumX <= Xmin) && nAttempt < maxNumberOfAttempts );  /* Loop checking, 26.10.2015, A.Ribon */   
        if ( nAttempt >= maxNumberOfAttempts ) return;

        (*(AntiColor.end()-1))->SetX(1. - SumX); // the di-quark takes the rest, then go to momentum
        G4double lightCone  = ((!Direction) ? Get4Momentum().minus() : Get4Momentum().plus());
        G4double lightCone2 = ((!Direction) ? Get4Momentum().plus() : Get4Momentum().minus());
        for(aSeaPair = 0; aSeaPair < nSeaPair+1; aSeaPair++)
        {
                G4Parton* aParton = Color[aSeaPair];
                aParton->DefineMomentumInZ(lightCone, lightCone2, Direction);

                aParton = AntiColor[aSeaPair];
                aParton->DefineMomentumInZ(lightCone, lightCone2, Direction);
        }
        return;
} 

void G4QGSMSplitableHadron::GetValenceQuarkFlavors(const G4ParticleDefinition * aPart, G4Parton *& Parton1, G4Parton *& Parton2)
{
        // Note! convention aEnd = q or (qq)bar and bEnd = qbar or qq.
        G4int aEnd;
        G4int bEnd;
        G4int HadronEncoding = aPart->GetPDGEncoding();
        if (aPart->GetBaryonNumber() == 0)
        {
                theMesonSplitter.SplitMeson(HadronEncoding, &aEnd, &bEnd);
        }
        else
        {
                theBaryonSplitter.SplitBarion(HadronEncoding, &aEnd, &bEnd);
        }

        Parton1 = new G4Parton(aEnd);
        Parton1->SetPosition(GetPosition());

        //      G4cerr << "G4QGSMSplitableHadron::GetValenceQuarkFlavors()" << G4endl;
        //      G4cerr << "Parton 1: "
        //             << " PDGcode: "  << aEnd
        //             << " - Name: "   << Parton1->GetDefinition()->GetParticleName()
        //             << " - Type: "   << Parton1->GetDefinition()->GetParticleType()
        //             << " - Spin-3: " << Parton1->GetSpinZ()
        //             << " - Colour: " << Parton1->GetColour() << G4endl;

        Parton2 = new G4Parton(bEnd);
        Parton2->SetPosition(GetPosition());

        //      G4cerr << "Parton 2: "
        //             << " PDGcode: "  << bEnd
        //             << " - Name: "   << Parton2->GetDefinition()->GetParticleName()
        //             << " - Type: "   << Parton2->GetDefinition()->GetParticleType()
        //             << " - Spin-3: " << Parton2->GetSpinZ()
        //             << " - Colour: " << Parton2->GetColour() << G4endl;
        //      G4cerr << "... now checking for color and spin conservation - yielding: " << G4endl;

        // colour of parton 1 choosen at random by G4Parton(aEnd)
        // colour of parton 2 is the opposite:

        Parton2->SetColour(-(Parton1->GetColour()));

        // isospin-3 of both partons is handled by G4Parton(PDGCode)

        // spin-3 of parton 1 and 2 choosen at random by G4Parton(aEnd)
        // spin-3 of parton 2 may be constrained by spin of original particle:

        if ( std::abs(Parton1->GetSpinZ() + Parton2->GetSpinZ()) > aPart->GetPDGSpin())
        {
                Parton2->SetSpinZ(-(Parton2->GetSpinZ()));    
        }

        //      G4cerr << "Parton 2: "
        //             << " PDGcode: "  << bEnd
        //             << " - Name: "   << Parton2->GetDefinition()->GetParticleName()
        //             << " - Type: "   << Parton2->GetDefinition()->GetParticleType()
        //             << " - Spin-3: " << Parton2->GetSpinZ()
        //             << " - Colour: " << Parton2->GetColour() << G4endl;
        //      G4cerr << "------------" << G4endl;

}


G4ThreeVector G4QGSMSplitableHadron::GaussianPt(G4double widthSquare, G4double maxPtSquare)
{
        G4double R;
        const G4int maxNumberOfLoops = 1000;
        G4int loopCounter = -1;
        while ( ((R = -widthSquare*G4Log(G4UniformRand())) > maxPtSquare) &&  /* Loop checking, 26.10.2015, A.Ribon */
                ++loopCounter < maxNumberOfLoops ) {;}
        if ( loopCounter >= maxNumberOfLoops ) R = 0.0;
        R = std::sqrt(R);
        G4double phi = twopi*G4UniformRand();
        return G4ThreeVector (R*std::cos(phi), R*std::sin(phi), 0.);
}

G4Parton * G4QGSMSplitableHadron::
BuildSeaQuark(G4bool isAntiQuark, G4int aPDGCode, G4int /* nSeaPair*/)
{
        if (isAntiQuark) aPDGCode*=-1;
        G4Parton* result = new G4Parton(aPDGCode);
        result->SetPosition(GetPosition());
        G4ThreeVector aPtVector = GaussianPt(sigmaPt, DBL_MAX);
        G4LorentzVector a4Momentum(aPtVector, 0);
        result->Set4Momentum(a4Momentum);
        return result;
}

G4double G4QGSMSplitableHadron::
SampleX(G4double anXmin, G4int nSea, G4int totalSea, G4double aBeta)
{
        G4double result;
        G4double x1, x2;
        G4double ymax = 0;
        for(G4int ii=1; ii<100; ii++)
        {
                G4double y = G4Pow::GetInstance()->powA(1./G4double(ii), alpha);
                y *= G4Pow::GetInstance()->powN( G4Pow::GetInstance()->powA(1-anXmin-totalSea*anXmin, alpha+1) - G4Pow::GetInstance()->powA(anXmin, alpha+1), nSea);
                y *= G4Pow::GetInstance()->powA(1-anXmin-totalSea*anXmin, aBeta+1) - G4Pow::GetInstance()->powA(anXmin, aBeta+1);
                if(y>ymax) ymax = y;
        }
        G4double y;
        G4double xMax=1-(totalSea+1)*anXmin;
        if(anXmin > xMax)
        {
                G4cout << "anXmin = "<<anXmin<<" nSea = "<<nSea<<" totalSea = "<< totalSea<<G4endl;
                throw G4HadronicException(__FILE__, __LINE__, "G4QGSMSplitableHadron - Fatal: Cannot sample parton densities under these constraints.");
        }
        const G4int maxNumberOfLoops = 10000;
        G4int loopCounter = -1;
        do
        {
                x1 = G4RandFlat::shoot(anXmin, xMax);
                y = G4Pow::GetInstance()->powA(x1, alpha);
                y *= G4Pow::GetInstance()->powN( G4Pow::GetInstance()->powA(1-x1-totalSea*anXmin, alpha+1) - G4Pow::GetInstance()->powA(anXmin, alpha+1), nSea);
                y *= G4Pow::GetInstance()->powA(1-x1-totalSea*anXmin, aBeta+1) - G4Pow::GetInstance()->powA(anXmin, aBeta+1);
                x2 = ymax*G4UniformRand();
        }
        while ( (x2>y) && ++loopCounter < maxNumberOfLoops );  /* Loop checking, 26.10.2015, A.Ribon */
        if ( loopCounter >= maxNumberOfLoops ) {
          G4ExceptionDescription ed;
          ed << " Failed sampling after maxNumberOfLoops attempts : forced exit! " << G4endl;
          G4Exception( "G4QGSMSplitableHadron::SampleX ", "HAD_QGS_002", JustWarning, ed );
        }
        result = x1;
        return result;
}