+++ /dev/null
-// FragmentationSystems.cc is a part of the PYTHIA event generator.
-// Copyright (C) 2008 Torbjorn Sjostrand.
-// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
-// Please respect the MCnet Guidelines, see GUIDELINES for details.
-
-// Function definitions (not found in the header) for the
-// ColConfig, StringRegion and StringSystem classes.
-
-#include "FragmentationSystems.h"
-
-namespace Pythia8 {
-
-//**************************************************************************
-
-// The ColConfig class.
-
-//*********
-
-// Initialize and save pointers.
-
-void ColConfig::init(StringFlav* flavSelPtrIn) {
-
- // Save pointer.
- flavSelPtr = flavSelPtrIn;
-
- // Joining of nearby partons along the string.
- mJoin = Settings::parm("FragmentationSystems:mJoin");
-
- // For consistency ensure that mJoin is bigger than in StringRegion.
- mJoin = max( mJoin, 2. * StringRegion::MJOIN);
-
- // Simplification of q q q junction topology to quark - diquark one.
- mJoinJunction = Settings::parm("FragmentationSystems:mJoinJunction");
- mStringMin = Settings::parm("HadronLevel:mStringMin");
-
-}
-
-//*********
-
-// Insert a new colour singlet system in ascending mass order.
-// Calculate its properties. Join nearby partons.
-
-void ColConfig::insert( vector<int>& iPartonIn, Event& event) {
-
- // Find momentum and invariant mass of system, minus endpoint masses.
- Vec4 pSumIn;
- double mSumIn = 0.;
- bool hasJunctionIn = false;
- for (int i = 0; i < int(iPartonIn.size()); ++i) {
- if (iPartonIn[i] < 0) {
- hasJunctionIn = true;
- continue;
- }
- pSumIn += event[ iPartonIn[i] ].p();
- if (!event[ iPartonIn[i] ].isGluon())
- mSumIn += event[ iPartonIn[i] ].constituentMass();
- }
- double massIn = pSumIn.mCalc();
- double massExcessIn = massIn - mSumIn;
-
- // Identify closed gluon loop. Assign "endpoint" masses as light quarks.
- bool isClosedIn = (iPartonIn[0] >= 0 && event[ iPartonIn[0] ].isGluon());
- if (isClosedIn) massExcessIn -= 2. * ParticleDataTable::constituentMass(1);
-
- // For junction topology: join two nearby legs into a diquark.
- if (hasJunctionIn && joinJunction( iPartonIn, event, massExcessIn))
- hasJunctionIn = false;
-
- // Loop while > 2 partons left and hope of finding joining pair.
- bool hasJoined = true;
- while (hasJoined && iPartonIn.size() > 2) {
-
- // Look for the pair of neighbour partons (along string) with
- // the smallest invariant mass (subtracting quark masses).
- int iJoinMin = -1;
- double mJoinMin = 2. * mJoin;
- int nSize = iPartonIn.size();
- int nPair = (isClosedIn) ? nSize : nSize - 1;
- for (int i = 0; i < nPair; ++i) {
- // Keep three legs of junction separate.
- if (iPartonIn[i] < 0 || iPartonIn[(i + 1)%nSize] < 0) continue;
- Particle& parton1 = event[ iPartonIn[i] ];
- Particle& parton2 = event[ iPartonIn[(i + 1)%nSize] ];
- Vec4 pSumNow;
- pSumNow += (parton1.isGluon()) ? 0.5 * parton1.p() : parton1.p();
- pSumNow += (parton2.isGluon()) ? 0.5 * parton2.p() : parton2.p();
- double mJoinNow = pSumNow.mCalc();
- if (!parton1.isGluon()) mJoinNow -= parton1.m();
- if (!parton2.isGluon()) mJoinNow -= parton2.m();
- if (mJoinNow < mJoinMin) { iJoinMin = i; mJoinMin = mJoinNow; }
- }
-
- // If sufficiently nearby then join into one new parton.
- // Note: error sensitivity to mJoin indicates unstable precedure??
- hasJoined = false;
- if (mJoinMin < mJoin) {
- int iJoin1 = iPartonIn[iJoinMin];
- int iJoin2 = iPartonIn[(iJoinMin + 1)%nSize];
- int idNew = (event[iJoin1].isGluon()) ? event[iJoin2].id()
- : event[iJoin1].id();
- int colNew = event[iJoin1].col();
- int acolNew = event[iJoin2].acol();
- if (colNew == acolNew) {
- colNew = event[iJoin2].col();
- acolNew = event[iJoin1].acol();
- }
- Vec4 pNew = event[iJoin1].p() + event[iJoin2].p();
-
- // Append joined parton to event record.
- int iNew = event.append( idNew, 73, min(iJoin1, iJoin2),
- max(iJoin1, iJoin2), 0, 0, colNew, acolNew, pNew, pNew.mCalc() );
-
- // Mark joined partons and reduce remaining system.
- event[iJoin1].statusNeg();
- event[iJoin2].statusNeg();
- event[iJoin1].daughter1(iNew);
- event[iJoin2].daughter1(iNew);
- if (iJoinMin == nSize - 1) iPartonIn[0] = iNew;
- else {
- iPartonIn[iJoinMin] = iNew;
- for (int i = iJoinMin + 1; i < nSize - 1; ++i)
- iPartonIn[i] = iPartonIn[i + 1];
- }
- iPartonIn.pop_back();
-
- // If joined,then loopback to look for more.
- hasJoined = true;
- }
- }
-
- // Store new colour singlet system at the end.
- singlets.push_back( ColSinglet(iPartonIn, pSumIn, massIn,
- massExcessIn, hasJunctionIn, isClosedIn) );
-
- // Now move around, so that smallest mass excesses come first.
- int iInsert = singlets.size() - 1;
- for (int iSub = singlets.size() - 2; iSub >= 0; --iSub) {
- if (massExcessIn > singlets[iSub].massExcess) break;
- singlets[iSub + 1] = singlets[iSub];
- iInsert = iSub;
- }
- if (iInsert < int(singlets.size()) - 1) singlets[iInsert] =
- ColSinglet(iPartonIn, pSumIn, massIn, massExcessIn,
- hasJunctionIn, isClosedIn);
-
-}
-
-//*********
-
-// Join two legs of junction to a diquark for small invariant masses.
-// Note: for junction system, iPartonIn points to structure
-// (-code0) g...g.q0 (-code1) g...g.q1 (-code2) g...g.q2
-
-bool ColConfig::joinJunction( vector<int>& iPartonIn, Event& event,
- double massExcessIn) {
-
- // Find four-momentum and endpoint quarks and masses on the three legs.
- Vec4 pLeg[3];
- double mLeg[3];
- int idAbsLeg[3];
- int leg = -1;
- for (int i = 0; i < int(iPartonIn.size()); ++ i) {
- if (iPartonIn[i] < 0) ++leg;
- else {
- pLeg[leg] += event[ iPartonIn[i] ].p();
- mLeg[leg] = event[ iPartonIn[i] ].m();
- idAbsLeg[leg] = event[ iPartonIn[i] ].idAbs();
- }
- }
-
- // Calculate invariant mass of three pairs, minus endpoint masses.
- double m01 = (pLeg[0] + pLeg[1]).mCalc() - mLeg[0] - mLeg[1];
- double m02 = (pLeg[0] + pLeg[2]).mCalc() - mLeg[0] - mLeg[2];
- double m12 = (pLeg[1] + pLeg[2]).mCalc() - mLeg[1] - mLeg[2];
-
- // Find lowest-mass pair not involving diquark.
- double mMin = mJoinJunction + 1.;
- int legA = -1;
- int legB = -1;
- if (m01 < mMin && idAbsLeg[0] < 9 && idAbsLeg[1] < 9) {
- mMin = m01;
- legA = 0;
- legB = 1;
- }
- if (m02 < mMin && idAbsLeg[0] < 9 && idAbsLeg[2] < 9) {
- mMin = m02;
- legA = 0;
- legB = 2;
- }
- if (m12 < mMin && idAbsLeg[1] < 9 && idAbsLeg[2] < 9) {
- mMin = m12;
- legA = 1;
- legB = 2;
- }
- int legC = 3 - legA - legB;
-
- // Nothing to do if no two legs have small invariant mass, and
- // system as a whole is above MiniStringFragmentation threshold.
- if (mMin > mJoinJunction && massExcessIn > mStringMin) return false;
-
- // Construct separate index arrays for the three legs.
- vector<int> iLegA, iLegB, iLegC;
- leg = -1;
- for (int i = 0; i < int(iPartonIn.size()); ++ i) {
- if (iPartonIn[i] < 0) ++leg;
- else if( leg == legA) iLegA.push_back( iPartonIn[i] );
- else if( leg == legB) iLegB.push_back( iPartonIn[i] );
- else if( leg == legC) iLegC.push_back( iPartonIn[i] );
- }
-
- // First step: successively combine any gluons on the two legs.
- // (Presumably overkill; not likely to be (m)any extra gluons.)
- // (Do as successive binary joinings, so only need two mothers.)
- for (leg = 0; leg < 2; ++leg) {
- vector<int>& iLegNow = (leg == 0) ? iLegA : iLegB;
- int sizeNow = iLegNow.size();
- for (int i = sizeNow - 2; i >= 0; --i) {
- int iQ = iLegNow.back();
- int iG = iLegNow[i];
- int colNew = (event[iQ].id() > 0) ? event[iG].col() : 0;
- int acolNew = (event[iQ].id() < 0) ? event[iG].acol() : 0;
- Vec4 pNew = event[iQ].p() + event[iG].p();
- int iNew = event.append( event[iQ].id(), 74, min(iQ, iG),
- max(iQ, iG), 0, 0, colNew, acolNew, pNew, pNew.mCalc() );
-
- // Mark joined partons and update iLeg end.
- event[iQ].statusNeg();
- event[iG].statusNeg();
- event[iQ].daughter1(iNew);
- event[iG].daughter1(iNew);
- iLegNow.back() = iNew;
- }
- }
-
- // Second step: combine two quarks into a diquark.
- int iQA = iLegA.back();
- int iQB = iLegB.back();
- int idQA = event[iQA].id();
- int idQB = event[iQB].id();
- int idNew = flavSelPtr->makeDiquark( idQA, idQB );
- // Diquark colour is opposite to parton closest to junction on third leg.
- int colNew = (idNew > 0) ? 0 : event[ iLegC[0] ].acol();
- int acolNew = (idNew > 0) ? event[ iLegC[0] ].col() : 0;
- Vec4 pNew = pLeg[legA] + pLeg[legB];
- int iNew = event.append( idNew, 74, min(iQA, iQB), max( iQA, iQB),
- 0, 0, colNew, acolNew, pNew, pNew.mCalc() );
-
- // Mark joined partons and reduce remaining system.
- event[iQA].statusNeg();
- event[iQB].statusNeg();
- event[iQA].daughter1(iNew);
- event[iQB].daughter1(iNew);
- iPartonIn.resize(0);
- iPartonIn.push_back( iNew);
- for (int i = 0; i < int(iLegC.size()) ; ++i)
- iPartonIn.push_back( iLegC[i]);
-
- // Remove junction from event record list, identifying by colour.
- int iJun = -1;
- for (int i = 0; i < event.sizeJunction(); ++i)
- for (int j = 0; j < 3; ++ j)
- if ( event.colJunction(i,j) == max(colNew, acolNew) ) iJun = i;
- if (iJun >= 0) event.eraseJunction(iJun);
-
- // Done, having eliminated junction.
- return true;
-
-}
-
-//*********
-
-// Collect all partons of singlet to be consecutively ordered.
-
-void ColConfig::collect(int iSub, Event& event) {
-
- // Partons may already have been collected, e.g. at ministring collapse.
- if (singlets[iSub].isCollected) return;
- singlets[iSub].isCollected = true;
-
- // Check if partons already "by chance" happen to be ordered.
- bool inOrder = true;
- for (int i = 0; i < singlets[iSub].size() - 1; ++i) {
- int iFirst = singlets[iSub].iParton[i];
- if (iFirst < 0) continue;
- int iSecond = singlets[iSub].iParton[i + 1];
- if (iSecond < 0) iSecond = singlets[iSub].iParton[i + 2];
- if (iSecond != iFirst + 1) { inOrder = false; break;}
- }
- if (inOrder) return;
-
- // Copy down system. Update current partons.
- for (int i = 0; i < singlets[iSub].size(); ++i) {
- int iOld = singlets[iSub].iParton[i];
- if (iOld < 0) continue;
- int iNew = event.copy(iOld, 71);
- singlets[iSub].iParton[i] = iNew;
- }
-
- // Done.
-}
-
-//*********
-
-// List all currently identified singlets.
-
-void ColConfig::list(ostream& os) {
-
- // Header. Loop over all individual singlets.
- os << "\n -------- Colour Singlet Systems Listing -------------------\n";
- for (int iSub = 0; iSub < int(singlets.size()); ++iSub) {
-
- // List all partons belonging to each singlet.
- os << " singlet " << iSub << " contains " ;
- for (int i = 0; i < singlets[iSub].size(); ++i)
- os << singlets[iSub].iParton[i] << " ";
- os << "\n";
-
- // Done.
- }
-}
-
-//**************************************************************************
-
-// The StringRegion class.
-
-// Currently a number of simplifications, in particular ??
-// 1) No popcorn baryon production.
-// 2) Simplified treatment of pT in stepping and joining.
-
-//*********
-
-// Constants: could be changed here if desired, but normally should not.
-// These are of technical nature, as described for each.
-
-// If a string region is smaller thsan this it is assumed empty.
-const double StringRegion::MJOIN = 0.1;
-
-// Avoid division by zero.
-const double StringRegion::TINY = 1e-20;
-
-//*********
-
-// Set up four-vectors for longitudinal and transverse directions.
-
-void StringRegion::setUp(Vec4 p1, Vec4 p2, bool isMassless) {
-
- // Simple case: the two incoming four-vectors guaranteed massless.
- if (isMassless) {
-
- // Calculate w2, minimum value. Lightcone directions = input.
- w2 = 2. * (p1 * p2);
- if (w2 < MJOIN*MJOIN) {isSetUp = true; isEmpty = true; return;}
- pPos = p1;
- pNeg = p2;
-
- // Else allow possibility of masses for incoming partons (also gluons!).
- } else {
-
- // Generic four-momentum combinations.
- double m1Sq = p1 * p1;
- double m2Sq = p2 * p2;
- double p1p2 = p1 * p2;
- w2 = m1Sq + 2. * p1p2 + m2Sq;
- double rootSq = pow2(p1p2) - m1Sq * m2Sq;
-
- // If crazy kinematics (should not happen!) modify energies.
- if (w2 <= 0. || rootSq <= 0.) {
- if (m1Sq < 0.) m1Sq = 0.;
- p1.e( sqrt(m1Sq + p1.pAbs2()) );
- if (m2Sq < 0.) m2Sq = 0.;
- p2.e( sqrt(m2Sq + p2.pAbs2()) );
- p1p2 = p1 * p2;
- w2 = m1Sq + 2. * p1p2 + m2Sq;
- rootSq = pow2(p1p2) - m1Sq * m2Sq;
- }
-
- // If still small invariant mass then empty region (e.g. in gg system).
- if (w2 < MJOIN*MJOIN) {isSetUp = true; isEmpty = true; return;}
-
- // Find two lightconelike longitudinal four-vector directions.
- double root = sqrt( max(TINY, rootSq) );
- double k1 = 0.5 * ( (m2Sq + p1p2) / root - 1.);
- double k2 = 0.5 * ( (m1Sq + p1p2) / root - 1.);
- pPos = (1. + k1) * p1 - k2 * p2;
- pNeg = (1. + k2) * p2 - k1 * p1;
- }
-
- // Find two spacelike transverse four-vector directions.
- // Begin by picking two sensible trial directions.
- Vec4 eDiff = pPos / pPos.e() - pNeg / pNeg.e();
- double eDx = pow2( eDiff.px() );
- double eDy = pow2( eDiff.py() );
- double eDz = pow2( eDiff.pz() );
- if (eDx < min(eDy, eDz)) {
- eX = Vec4( 1., 0., 0., 0.);
- eY = (eDy < eDz) ? Vec4( 0., 1., 0., 0.) : Vec4( 0., 0., 1., 0.);
- } else if (eDy < eDz) {
- eX = Vec4( 0., 1., 0., 0.);
- eY = (eDx < eDz) ? Vec4( 1., 0., 0., 0.) : Vec4( 0., 0., 1., 0.);
- } else {
- eX = Vec4( 0., 0., 1., 0.);
- eY = (eDx < eDy) ? Vec4( 1., 0., 0., 0.) : Vec4( 0., 1., 0., 0.);
- }
-
- // Then construct orthogonal linear combinations.
- double pPosNeg = pPos * pNeg;
- double kXPos = eX * pPos / pPosNeg;
- double kXNeg = eX * pNeg / pPosNeg;
- double kXX = 1. / sqrt( 1. + 2. * kXPos * kXNeg * pPosNeg );
- double kYPos = eY * pPos / pPosNeg;
- double kYNeg = eY * pNeg / pPosNeg;
- double kYX = kXX * (kXPos * kYNeg + kXNeg * kYPos) * pPosNeg;
- double kYY = 1. / sqrt(1. + 2. * kYPos * kYNeg * pPosNeg - pow2(kYX));
- eX = kXX * (eX - kXNeg * pPos - kXPos * pNeg);
- eY = kYY * (eY - kYNeg * pPos - kYPos * pNeg - kYX * eX);
-
- // Done.
- isSetUp = true;
- isEmpty = false;
-
-}
-
-//*********
-
-// Project a four-momentum onto (x+, x-, px, py).
-
-void StringRegion::project(Vec4 pIn) {
-
- // Perform projections by four-vector multiplication.
- xPosProj = 2. * (pIn * pNeg) / w2;
- xNegProj = 2. * (pIn * pPos) / w2;
- pxProj = - (pIn * eX);
- pyProj = - (pIn * eY);
-
-}
-
-//**************************************************************************
-
-// The StringSystem class.
-
-//*********
-
-// Set up system from parton list.
-
-void StringSystem::setUp(vector<int>& iSys, Event& event) {
-
- // Figure out how big the system is. (Closed gluon loops?)
- sizePartons = iSys.size();
- sizeStrings = sizePartons - 1;
- sizeRegions = (sizeStrings * (sizeStrings + 1)) / 2;
- indxReg = 2 * sizeStrings + 1;
- iMax = sizeStrings - 1;
-
- // Reserve space for the required number of regions.
- system.clear();
- system.resize(sizeRegions);
-
- // Set up the lowest-lying regions.
- for (int i = 0; i < sizeStrings; ++i) {
- Vec4 p1 = event[ iSys[i] ].p();
- if ( event[ iSys[i] ].isGluon() ) p1 *= 0.5;
- Vec4 p2 = event[ iSys[i+1] ].p();
- if ( event[ iSys[i+1] ].isGluon() ) p2 *= 0.5;
- system[ iReg(i, iMax - i) ].setUp( p1, p2, false);
- }
-
-}
-
-//**************************************************************************
-
-} // end namespace Pythia8