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geant4/source/processes/hadronic/models/qmd/src/G4QMDGroundStateNucleus.cc
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2016-06-09 15:58:43 +02:00

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//
// ********************************************************************
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//
// 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 );
}
}