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Please see the license in the file LICENSE and URL above * // * for the full disclaimer and the limitation of liability. * // * * // * This code implementation is the result of the scientific and * // * technical work of the GEANT4 collaboration. * // * By using, copying, modifying or distributing the software (or * // * any work based on the software) you agree to acknowledge its * // * use in resulting scientific publications, and indicate your * // * acceptance of all terms of the Geant4 Software license. * // ******************************************************************** // // 081024 G4NucleiPropertiesTable:: to G4NucleiProperties:: // #include "G4QMDGroundStateNucleus.hh" #include "G4NucleiProperties.hh" #include "G4Proton.hh" #include "G4Neutron.hh" #include "Randomize.hh" G4QMDGroundStateNucleus::G4QMDGroundStateNucleus( G4int z , G4int a ) : r00 ( 1.124 ) // radius parameter for Woods-Saxon [fm] , r01 ( 0.5 ) // radius parameter for Woods-Saxon , saa ( 0.2 ) // diffuse parameter for initial Woods-Saxon shape , rada ( 0.9 ) // cutoff parameter , radb ( 0.3 ) // cutoff parameter , dsam ( 1.5 ) // minimum distance for same particle [fm] , ddif ( 1.0 ) // minimum distance for different particle , epse ( 0.000001 ) // torelance for energy in [GeV] { //std::cout << " G4QMDGroundStateNucleus( G4int z , G4int a ) Begin " << z << " " << a << std::endl; // Hydrogen Case if ( z == 1 && a == 1 ) { SetParticipant( new G4QMDParticipant( G4Proton::Proton() , G4ThreeVector( 0.0 ) , G4ThreeVector( 0.0 ) ) ); return; } dsam2 = dsam*dsam; ddif2 = ddif*ddif; G4QMDParameters* parameters = G4QMDParameters::GetInstance(); hbc = parameters->Get_hbc(); gamm = parameters->Get_gamm(); cpw = parameters->Get_cpw(); cph = parameters->Get_cph(); epsx = parameters->Get_epsx(); cpc = parameters->Get_cpc(); cdp = parameters->Get_cdp(); c0p = parameters->Get_c0p(); c3p = parameters->Get_c3p(); csp = parameters->Get_csp(); clp = parameters->Get_clp(); edepth = 0.0; for ( int i = 0 ; i < a ; i++ ) { G4ParticleDefinition* pd; if ( i < z ) { pd = G4Proton::Proton(); } else { pd = G4Neutron::Neutron(); } G4ThreeVector p( 0.0 ); G4ThreeVector r( 0.0 ); G4QMDParticipant* aParticipant = new G4QMDParticipant( pd , p , r ); SetParticipant( aParticipant ); } G4double radious = r00 * std::pow ( double ( GetMassNumber() ) , 1.0/3.0 ); rt00 = radious - r01; radm = radious - rada * ( gamm - 1.0 ) + radb; rmax = 1.0 / ( 1.0 + std::exp ( -rt00/saa ) ); maxTrial = 1000; meanfield = new G4QMDMeanField(); meanfield->SetSystem( this ); //std::cout << "G4QMDGroundStateNucleus( G4int z , G4int a ) packNucleons Begin ( z , a ) ( " << z << ", " << a << " )" << std::endl; packNucleons(); //std::cout << "G4QMDGroundStateNucleus( G4int z , G4int a ) packNucleons End" << std::endl; delete meanfield; } void G4QMDGroundStateNucleus::packNucleons() { //std::cout << "G4QMDGroundStateNucleus::packNucleons" << std::endl; ebini = - G4NucleiProperties::GetBindingEnergy( GetMassNumber() , GetAtomicNumber() ) / GetMassNumber(); G4double ebin00 = ebini * 0.001; G4double ebin0 = 0.0; G4double ebin1 = 0.0; if ( GetMassNumber() != 4 ) { ebin0 = ( ebini - 0.5 ) * 0.001; ebin1 = ( ebini + 0.5 ) * 0.001; } else { ebin0 = ( ebini - 1.5 ) * 0.001; ebin1 = ( ebini + 1.5 ) * 0.001; } { G4int n0Try = 0; G4bool isThisOK = false; while ( n0Try < maxTrial ) { n0Try++; //std::cout << "TKDB packNucleons n0Try " << n0Try << std::endl; // Sampling Position //std::cout << "TKDB Sampling Position " << std::endl; G4bool areThesePsOK = false; G4int npTry = 0; while ( npTry < maxTrial ) { //std::cout << "TKDB Sampling Position npTry " << npTry << std::endl; npTry++; G4int i = 0; if ( samplingPosition( i ) ) { //std::cout << "packNucleons samplingPosition 0 succeed " << std::endl; for ( i = 1 ; i < GetMassNumber() ; i++ ) { //std::cout << "packNucleons samplingPosition " << i << " trying " << std::endl; if ( !( samplingPosition( i ) ) ) { //std::cout << "packNucleons samplingPosition " << i << " failed" << std::endl; break; } } if ( i == GetMassNumber() ) { //std::cout << "packNucleons samplingPosition all scucceed " << std::endl; areThesePsOK = true; break; } } } if ( areThesePsOK == false ) continue; //std::cout << "TKDB Sampling Position End" << std::endl; // Calculate Two-body quantities meanfield->Cal2BodyQuantities(); std::vector< G4double > rho_a ( GetMassNumber() , 0.0 ); std::vector< G4double > rho_s ( GetMassNumber() , 0.0 ); std::vector< G4double > rho_c ( GetMassNumber() , 0.0 ); rho_l.resize ( GetMassNumber() , 0.0 ); d_pot.resize ( GetMassNumber() , 0.0 ); for ( G4int i = 0 ; i < GetMassNumber() ; i++ ) { for ( G4int j = 0 ; j < GetMassNumber() ; j++ ) { rho_a[ i ] += meanfield->GetRHA( j , i ); G4int k = 0; if ( participants[j]->GetDefinition() != participants[i]->GetDefinition() ) { k = 1; } rho_s[ i ] += meanfield->GetRHA( j , i )*( 1.0 - 2.0 * k ); // OK? rho_c[ i ] += meanfield->GetRHE( j , i ); } } for ( G4int i = 0 ; i < GetMassNumber() ; i++ ) { rho_l[i] = cdp * ( rho_a[i] + 1.0 ); d_pot[i] = c0p * rho_a[i] + c3p * std::pow ( rho_a[i] , gamm ) + csp * rho_s[i] + clp * rho_c[i]; //std::cout << "d_pot[i] " << i << " " << d_pot[i] << std::endl; } // Sampling Momentum //std::cout << "TKDB Sampling Momentum " << std::endl; phase_g.clear(); phase_g.resize( GetMassNumber() , 0.0 ); //std::cout << "TKDB Sampling Momentum 1st " << std::endl; G4bool isThis1stMOK = false; G4int nmTry = 0; while ( nmTry < maxTrial ) { nmTry++; G4int i = 0; if ( samplingMomentum( i ) ) { isThis1stMOK = true; break; } } if ( isThis1stMOK == false ) continue; //std::cout << "TKDB Sampling Momentum 2nd so on" << std::endl; G4bool areTheseMsOK = true; nmTry = 0; while ( nmTry < maxTrial ) { nmTry++; G4int i = 0; for ( i = 1 ; i < GetMassNumber() ; i++ ) { //std::cout << "TKDB packNucleons samplingMomentum try " << i << std::endl; if ( !( samplingMomentum( i ) ) ) { //std::cout << "TKDB packNucleons samplingMomentum " << i << " failed" << std::endl; areTheseMsOK = false; break; } } if ( i == GetMassNumber() ) { areTheseMsOK = true; } break; } if ( areTheseMsOK == false ) continue; // Kill Angluar Momentum //std::cout << "TKDB Sampling Kill Angluar Momentum " << std::endl; killCMMotionAndAngularM(); // Check Binding Energy //std::cout << "packNucleons Check Binding Energy Begin " << std::endl; G4double ekinal = 0.0; for ( int i = 0 ; i < GetMassNumber() ; i++ ) { ekinal += participants[i]->GetKineticEnergy(); } meanfield->Cal2BodyQuantities(); G4double totalPotentialE = meanfield->GetTotalPotential(); G4double ebinal = ( totalPotentialE + ekinal ) / double ( GetMassNumber() ); //std::cout << "packNucleons totalPotentialE " << totalPotentialE << std::endl; //std::cout << "packNucleons ebinal " << ebinal << std::endl; //std::cout << "packNucleons ekinal " << ekinal << std::endl; if ( ebinal < ebin0 || ebinal > ebin1 ) { //std::cout << "packNucleons ebin0 " << ebin0 << std::endl; //std::cout << "packNucleons ebin1 " << ebin1 << std::endl; //std::cout << "packNucleons ebinal " << ebinal << std::endl; //std::cout << "packNucleons Check Binding Energy Failed " << std::endl; continue; } //std::cout << "packNucleons Check Binding Energy End = OK " << std::endl; // Energy Adujstment G4double dtc = 1.0; G4double frg = -0.1; G4double rdf0 = 0.5; G4double edif0 = ebinal - ebin00; G4double cfrc = 0.0; if ( 0 < edif0 ) { cfrc = frg; } else { cfrc = -frg; } G4int ifrc = 1; G4int neaTry = 0; G4bool isThisEAOK = false; while ( neaTry < maxTrial ) { neaTry++; G4double edif = ebinal - ebin00; //std::cout << "TKDB edif " << edif << std::endl; if ( std::abs ( edif ) < epse ) { isThisEAOK = true; //std::cout << "isThisEAOK " << isThisEAOK << std::endl; break; } G4int jfrc = 0; if ( edif < 0.0 ) { jfrc = 1; } else { jfrc = -1; } if ( jfrc != ifrc ) { cfrc = -rdf0 * cfrc; dtc = rdf0 * dtc; } if ( jfrc == ifrc && std::abs( edif0 ) < std::abs( edif ) ) { cfrc = -rdf0 * cfrc; dtc = rdf0 * dtc; } ifrc = jfrc; edif0 = edif; meanfield->CalGraduate(); for ( int i = 0 ; i < GetMassNumber() ; i++ ) { G4ThreeVector ri = participants[i]->GetPosition(); G4ThreeVector p_i = participants[i]->GetMomentum(); ri += dtc * ( meanfield->GetFFr(i) - cfrc * ( meanfield->GetFFp(i) ) ); p_i += dtc * ( meanfield->GetFFp(i) + cfrc * ( meanfield->GetFFr(i) ) ); participants[i]->SetPosition( ri ); participants[i]->SetMomentum( p_i ); } ekinal = 0.0; for ( int i = 0 ; i < GetMassNumber() ; i++ ) { ekinal += participants[i]->GetKineticEnergy(); } meanfield->Cal2BodyQuantities(); totalPotentialE = meanfield->GetTotalPotential(); ebinal = ( totalPotentialE + ekinal ) / double ( GetMassNumber() ); } //std::cout << "isThisEAOK " << isThisEAOK << std::endl; if ( isThisEAOK == false ) continue; isThisOK = true; //std::cout << "isThisOK " << isThisOK << std::endl; break; } if ( isThisOK == false ) { std::cout << "GroundStateNucleus state cannot be created. Try again with another parameters." << std::endl; } //std::cout << "packNucleons End" << std::endl; return; } // Start packing // position G4int n0Try = 0; while ( n0Try < maxTrial ) { if ( samplingPosition( 0 ) ) { G4int i = 0; for ( i = 1 ; i < GetMassNumber() ; i++ ) { if ( !( samplingPosition( i ) ) ) { break; } } if ( i == GetMassNumber() ) break; } n0Try++; } if ( n0Try > maxTrial ) { std::cout << "GroundStateNucleus state cannot be created. Try again with another parameters." << std::endl; return; } meanfield->Cal2BodyQuantities(); std::vector< G4double > rho_a ( GetMassNumber() , 0.0 ); std::vector< G4double > rho_s ( GetMassNumber() , 0.0 ); std::vector< G4double > rho_c ( GetMassNumber() , 0.0 ); rho_l.resize ( GetMassNumber() , 0.0 ); d_pot.resize ( GetMassNumber() , 0.0 ); for ( int i = 0 ; i < GetMassNumber() ; i++ ) { for ( int j = 0 ; j < GetMassNumber() ; j++ ) { rho_a[ i ] += meanfield->GetRHA( j , i ); G4int k = 0; if ( participants[i]->GetDefinition() != participants[i]->GetDefinition() ) { k = 1; } rho_s[ i ] += meanfield->GetRHA( j , i )*( 1.0 - 2.0 * k ); // OK? rho_c[ i ] += meanfield->GetRHE( j , i ); } } for ( int i = 0 ; i < GetMassNumber() ; i++ ) { rho_l[i] = cdp * ( rho_a[i] + 1.0 ); d_pot[i] = c0p * rho_a[i] + c3p * std::pow ( rho_a[i] , gamm ) + csp * rho_s[i] + clp * rho_c[i]; } // momentum phase_g.resize( GetMassNumber() , 0.0 ); //G4int i = 0; samplingMomentum( 0 ); G4int n1Try = 0; //G4int maxTry = 1000; while ( n1Try < maxTrial ) { if ( samplingPosition( 0 ) ) { G4int i = 0; G4bool isThisOK = true; for ( i = 1 ; i < GetMassNumber() ; i++ ) { if ( !( samplingMomentum( i ) ) ) { isThisOK = false; break; } } if ( isThisOK == true ) break; //if ( i == GetMassNumber() ) break; } n1Try++; } if ( n1Try > maxTrial ) { std::cout << "GroundStateNucleus state cannot be created. Try again with another parameters." << std::endl; return; } // // Shift nucleus to thier CM frame and kill angular momentum killCMMotionAndAngularM(); // Check binding energy G4double ekinal = 0.0; for ( int i = 0 ; i < GetMassNumber() ; i++ ) { ekinal += participants[i]->GetKineticEnergy(); } meanfield->Cal2BodyQuantities(); G4double totalPotentialE = meanfield->GetTotalPotential(); G4double ebinal = ( totalPotentialE + ekinal ) / double ( GetMassNumber() ); if ( ebinal < ebin0 || ebinal > ebin1 ) { // Retry From Position } // Adjust by frictional cooling or heating G4double dtc = 1.0; G4double frg = -0.1; G4double rdf0 = 0.5; G4double edif0 = ebinal - ebin00; G4double cfrc = 0.0; if ( 0 < edif0 ) { cfrc = frg; } else { cfrc = -frg; } G4int ifrc = 1; G4int ntryACH = 0; G4bool isThisOK = false; while ( ntryACH < maxTrial ) { G4double edif = ebinal - ebin00; if ( std::abs ( edif ) < epse ) { isThisOK = true; break; } G4int jfrc = 0; if ( edif < 0.0 ) { jfrc = 1; } else { jfrc = -1; } if ( jfrc != ifrc ) { cfrc = -rdf0 * cfrc; dtc = rdf0 * dtc; } if ( jfrc == ifrc && std::abs( edif0 ) < std::abs( edif ) ) { cfrc = -rdf0 * cfrc; dtc = rdf0 * dtc; } ifrc = jfrc; edif0 = edif; meanfield->CalGraduate(); for ( int i = 0 ; i < GetMassNumber() ; i++ ) { G4ThreeVector ri = participants[i]->GetPosition(); G4ThreeVector p_i = participants[i]->GetMomentum(); ri += dtc * ( meanfield->GetFFr(i) - cfrc * ( meanfield->GetFFp(i) ) ); p_i += dtc * ( meanfield->GetFFp(i) + cfrc * ( meanfield->GetFFr(i) ) ); participants[i]->SetPosition( ri ); participants[i]->SetMomentum( p_i ); } ekinal = 0.0; for ( int i = 0 ; i < GetMassNumber() ; i++ ) { ekinal += participants[i]->GetKineticEnergy(); } meanfield->Cal2BodyQuantities(); totalPotentialE = meanfield->GetTotalPotential(); ebinal = ( totalPotentialE + ekinal ) / double ( GetMassNumber() ); ntryACH++; } if ( isThisOK ) { return; } } G4bool G4QMDGroundStateNucleus::samplingPosition( G4int i ) { G4bool result = false; G4int nTry = 0; while ( nTry < maxTrial ) { //std::cout << "samplingPosition i th particle, nTtry " << i << " " << nTry << std::endl; G4double rwod = -1.0; G4double rrr = 0.0; G4double rx = 0.0; G4double ry = 0.0; G4double rz = 0.0; while ( G4UniformRand() * rmax > rwod ) { G4double rsqr = 10.0; while ( rsqr > 1.0 ) { rx = 1.0 - 2.0 * G4UniformRand(); ry = 1.0 - 2.0 * G4UniformRand(); rz = 1.0 - 2.0 * G4UniformRand(); rsqr = rx*rx + ry*ry + rz*rz; } rrr = radm * std::sqrt ( rsqr ); rwod = 1.0 / ( 1.0 + std::exp ( ( rrr - rt00 ) / saa ) ); } participants[i]->SetPosition( G4ThreeVector( rx , ry , rz )*radm ); if ( i == 0 ) { result = true; return result; } // i > 1 ( Second Particle or later ) // Check Distance to others G4bool isThisOK = true; for ( G4int j = 0 ; j < i ; j++ ) { G4double r2 = participants[j]->GetPosition().diff2( participants[i]->GetPosition() ); G4double dmin2 = 0.0; if ( participants[j]->GetDefinition() == participants[i]->GetDefinition() ) { dmin2 = dsam2; } else { dmin2 = ddif2; } //std::cout << "distance between j and i " << j << " " << i << " " << r2 << " " << dmin2 << std::endl; if ( r2 < dmin2 ) { isThisOK = false; break; } } if ( isThisOK == true ) { result = true; return result; } nTry++; } // Here return "false" return result; } G4bool G4QMDGroundStateNucleus::samplingMomentum( G4int i ) { //std::cout << "TKDB samplingMomentum for " << i << std::endl; G4bool result = false; G4double pfm = hbc * std::pow ( ( 3.0 / 2.0 * pi*pi * rho_l[i] ) , 1./3. ); if ( 10 < GetMassNumber() && -5.5 < ebini ) { pfm = pfm * ( 1.0 + 0.2 * std::sqrt( std::abs( 8.0 + ebini ) / 8.0 ) ); } //std::cout << "TKDB samplingMomentum pfm " << pfm << std::endl; std::vector< G4double > phase; phase.resize( i+1 ); // i start from 0 G4int ntry = 0; // 710 while ( ntry < maxTrial ) { //std::cout << " TKDB ntry " << ntry << std::endl; ntry++; G4double ke = DBL_MAX; G4int tkdb_i =0; // 700 while ( ke + d_pot [i] > edepth ) { G4double psqr = 10.0; G4double px = 0.0; G4double py = 0.0; G4double pz = 0.0; while ( psqr > 1.0 ) { px = 1.0 - 2.0*G4UniformRand(); py = 1.0 - 2.0*G4UniformRand(); pz = 1.0 - 2.0*G4UniformRand(); psqr = px*px + py*py + pz*pz; } G4ThreeVector p ( px , py , pz ); p = pfm * p; participants[i]->SetMomentum( p ); G4LorentzVector p4 = participants[i]->Get4Momentum(); //ke = p4.e() - p4.restMass(); ke = participants[i]->GetKineticEnergy(); tkdb_i++; if ( tkdb_i > maxTrial ) return result; // return false } //std::cout << "TKDB ke d_pot[i] " << ke << " " << d_pot[i] << std::endl; if ( i == 0 ) { result = true; return result; } G4bool isThisOK = true; // Check Pauli principle phase[ i ] = 0.0; //std::cout << "TKDB Check Pauli Principle " << i << std::endl; for ( G4int j = 0 ; j < i ; j++ ) { phase[ j ] = 0.0; //std::cout << "TKDB Check Pauli Principle i , j " << i << " , " << j << std::endl; G4double expa = 0.0; if ( participants[j]->GetDefinition() == participants[i]->GetDefinition() ) { expa = - meanfield->GetRR2(i,j) * cpw; if ( expa > epsx ) { G4ThreeVector p_i = participants[i]->GetMomentum(); G4ThreeVector pj = participants[j]->GetMomentum(); G4double dist2_p = p_i.diff2( pj ); dist2_p = dist2_p*cph; expa = expa - dist2_p; if ( expa > epsx ) { phase[j] = std::exp ( expa ); if ( phase[j] * cpc > 0.2 ) { /* std::cout << "TKDB Check Pauli Principle A i , j " << i << " , " << j << std::endl; std::cout << "TKDB Check Pauli Principle phase[j] " << phase[j] << std::endl; std::cout << "TKDB Check Pauli Principle phase[j]*cpc > 0.2 " << phase[j]*cpc << std::endl; */ isThisOK = false; break; } if ( ( phase_g[j] + phase[j] ) * cpc > 0.5 ) { /* std::cout << "TKDB Check Pauli Principle B i , j " << i << " , " << j << std::endl; std::cout << "TKDB Check Pauli Principle B phase_g[j] " << phase_g[j] << std::endl; std::cout << "TKDB Check Pauli Principle B phase[j] " << phase[j] << std::endl; std::cout << "TKDB Check Pauli Principle B phase_g[j] + phase[j] ) * cpc > 0.5 " << ( phase_g[j] + phase[j] ) * cpc << std::endl; */ isThisOK = false; break; } phase[i] += phase[j]; if ( phase[i] * cpc > 0.3 ) { /* std::cout << "TKDB Check Pauli Principle C i , j " << i << " , " << j << std::endl; std::cout << "TKDB Check Pauli Principle C phase[i] " << phase[i] << std::endl; std::cout << "TKDB Check Pauli Principle C phase[i] * cpc > 0.3 " << phase[i] * cpc << std::endl; */ isThisOK = false; break; } //std::cout << "TKDB Check Pauli Principle OK i , j " << i << " , " << j << std::endl; } else { //std::cout << "TKDB Check Pauli Principle OK i , j " << i << " , " << j << std::endl; } } else { //std::cout << "TKDB Check Pauli Principle OK i , j " << i << " , " << j << std::endl; } } else { //std::cout << "TKDB Check Pauli Principle OK i , j " << i << " , " << j << std::endl; } } if ( isThisOK == true ) { phase_g[i] = phase[i]; for ( int j = 0 ; j < i ; j++ ) { phase_g[j] += phase[j]; } result = true; return result; } } return result; } void G4QMDGroundStateNucleus::killCMMotionAndAngularM() { // CalEnergyAndAngularMomentumInCM(); //std::vector< G4ThreeVector > p ( GetMassNumber() , 0.0 ); //std::vector< G4ThreeVector > r ( GetMassNumber() , 0.0 ); // Move to cm system G4ThreeVector pcm ( 0.0 ); G4ThreeVector rcm ( 0.0 ); G4double sumMass = 0.0; for ( G4int i = 0 ; i < GetMassNumber() ; i++ ) { pcm += participants[i]->GetMomentum(); rcm += participants[i]->GetPosition() * participants[i]->GetMass(); sumMass += participants[i]->GetMass(); } pcm = pcm/GetMassNumber(); rcm = rcm/sumMass; for ( G4int i = 0 ; i < GetMassNumber() ; i++ ) { participants[i]->SetMomentum( participants[i]->GetMomentum() - pcm ); participants[i]->SetPosition( participants[i]->GetPosition() - rcm ); } // kill the angular momentum G4ThreeVector ll ( 0.0 ); for ( G4int i = 0 ; i < GetMassNumber() ; i++ ) { ll += participants[i]->GetPosition().cross ( participants[i]->GetMomentum() ); } G4double rr[3][3]; G4double ss[3][3]; for ( G4int i = 0 ; i < 3 ; i++ ) { for ( G4int j = 0 ; j < 3 ; j++ ) { rr [i][j] = 0.0; if ( i == j ) { ss [i][j] = 1.0; } else { ss [i][j] = 0.0; } } } for ( G4int i = 0 ; i < GetMassNumber() ; i++ ) { G4ThreeVector r = participants[i]->GetPosition(); rr[0][0] += r.y() * r.y() + r.z() * r.z(); rr[1][0] += - r.y() * r.x(); rr[2][0] += - r.z() * r.x(); rr[0][1] += - r.x() * r.y(); rr[1][1] += r.z() * r.z() + r.x() * r.x(); rr[2][1] += - r.z() * r.y(); rr[2][0] += - r.x() * r.z(); rr[2][1] += - r.y() * r.z(); rr[2][2] += r.x() * r.x() + r.y() * r.y(); } for ( G4int i = 0 ; i < 3 ; i++ ) { G4double x = rr [i][i]; for ( G4int j = 0 ; j < 3 ; j++ ) { rr[i][j] = rr[i][j] / x; ss[i][j] = ss[i][j] / x; } for ( G4int j = 0 ; j < 3 ; j++ ) { if ( j != i ) { G4double y = rr [j][i]; for ( G4int k = 0 ; k < 3 ; k++ ) { rr[j][k] += -y * rr[i][k]; ss[j][k] += -y * ss[i][k]; } } } } G4double opl[3]; G4double rll[3]; rll[0] = ll.x(); rll[1] = ll.y(); rll[2] = ll.z(); for ( G4int i = 0 ; i < 3 ; i++ ) { opl[i] = 0.0; for ( G4int j = 0 ; j < 3 ; j++ ) { opl[i] += ss[i][j]*rll[j]; } } for ( G4int i = 0 ; i < GetMassNumber() ; i++ ) { G4ThreeVector p_i = participants[i]->GetMomentum() ; G4ThreeVector ri = participants[i]->GetPosition() ; G4ThreeVector opl_v ( opl[0] , opl[1] , opl[2] ); p_i += ri.cross(opl_v); participants[i]->SetMomentum( p_i ); } }