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Geant4 Hadronic |Physics Models Geant4 Hadronic |Physics Models Geant4 Tutorial CERN, 25-27 May 2005 Gunter Folger Overview Parton String Models – QGS Model Binary Cascade Precompound Model Nuclear de-excitation models CHIPS Capture Parton String Models Quark Gluon String model Diffractive String Model Models split into Strings excitation part String hadronization Damaged nucleus passed to either pre-compound model (QGSP physics list) CHIPS for nuclear fragmentation (QGSC physics list) Quark Gluon String Model Pomeron exchange model Hadrons exchange one or several Pomerons Equivalent to color coupling of valence quarks Partons connected by quark gluon strings Quark gluon string model Algorithm A 3-dimensional nuclear model is built up Nucleus collapsed into 2 dimensions The impact parameter is calculated Hadron-nucleon collision probabilities calculation based on quasi-eikonal model, using Gaussian density distributions for hadrons and nucleons. Sampling of the number of Pomerons exchanged in each collision Unitarity cut, string formation and decay. QGSM - Results pi- Mg Æ pi+ X , Plab 320 GeV/c 1 ⎛ E + p ⎞ P 2 [GeV2] Rapidity η = ln⎜ z ⎟ t ⎜ − ⎟ 2 ⎝ E pz ⎠ Binary Cascade Modeling interactions of protons, neutrons, pions with nuclei Incident particle kinetic energy 50 MeV – 2GeV Extension for light ion reactions Wounded nucleus passed to pre-compound model and nuclear de-excitation models. Binary Cascade Hybrid between classical cascade and full QMD model Detailed model of Nucleus nucleons placed in space according to nuclear density Nucleon momentum according to Fermi gas model Collective effect of nucleus on participant nucleons described by optical potential Numerically integrate equation of motion Binary Cascade Interactions between primary (or secondary) with nucleon described as two body reactions E.g. pp -> ∆(1232) N*(2190) Nucleon and delta resonances up to 2GeV included Resonances decay according to lifetime Binary Cascade - results p Pb -> n X Pre-compound model The pre-compound nucleus is viewed as consisting of two parts A system of excitons carrying the excitation energy and momentum A nucleus, undisturbed apart from the excitons The exciton system is defined by the numbers of excitons, holes, and charged exitons and their total energy and momentum Pre-compound Model The system of excitons and the nucleus evolves through Collisions between excitons (∆n=0, -2) Collisions between excitons and nucleons (∆n=+2) Particle and fragment emission (up to helium) Until number of excitons is in equilibrium n = 2gU Nuclear de-excitation models Nucleus is in equilibrium System is characterised by number of nucleons (A,Z) and excitation energy Excitation energy is distributed over large number of nucleons De-excite nucleus through evaporation Nuclear de-excitation models Weisskopf Ewing evaporation GEM evaporation Photon evaporation Internal conversion Fission Heavy nuclei (A≥65) Fermi break-up Light nuclei ( A<17) Multifragmentation Large excitation energy U/A > 3 MeV Chiral Invariant Phase Space (CHIPS) CHIPS is based on homogeneous invariant phase distribution of mass-less partons Quasmon is ensemble of partons Quasmon is characterised by mass MQ Critical temperature TC defines number n of partons in Quasmon TC is only parameter of model MQ ≈ 2n TC Nucleus made of nucleon clusters Chiral Invariant Phase Space (CHIPS) Critical temperature defines hadronic masses (EPJA- 14,265) Simulation of proton-antiproton annihilation at rest (EPJA-8,217) Quasmon creation in vacuum quark fusion hadronization mechanism for energy dissipation Pion capture and evaporation algorithm (EPJA-9,411) Quasmon creation in nuclear matter Quasmon can exchange quarks with nuclear clusters quark exchange hadronization mechanism Photonuclear reactions (EPJA-9, 421) Photonuclear absorption cross sections (EPJA-14,377) Chiral Invariant Phase Space (CHIPS) Momentum of primary parton is k=(E-B*m+p)/2 B is a baryon number of the secondary hadron, E,p are energy and momentum of the secondary hadron m is mass of nuclear cluster measuring E and p of the hadron with known B, one can reconstruct spectra of primary partons. In simplified one dimentional case (q momentum of recoil parton): Baryons: k+M=E+q, k=p-q -> k=(E-M+p)/2 (quark exchange) Mesons: k+q=E, k-q=p -> k=(E+p)/2 (quark-antiquark fusion) Antibaryons: k+q=M+E, k-q=p: k=(E+M+p)/2 (antiquark-antidiquark fusion) In CHIPS the hadronization is made in three dimensions p+Ta=h+X, 400 GeV, 90o 2 2 10 10 p, mb/GeV p, mb/GeV 3 3 /d 1 /d 1 σ σ 3 3 -1 -1 10 10 (E/A)*d (E/A)*d -2 -2 10 10 -3 -3 10 10 -4 -4 10 10 -5 -5 10 10 0 0.5 1 0.25 0.5 0.75 1 1.25 Ekin, GeV k=(E+p-B*M)/2, GeV Nuclear Capture of Negative Particles at Rest This simulation does not need any interaction cross- section Parameterised+theoretical models for π- and K- Absorption parameterised De-excitatin of nucleus nuclear de-excitation models Core code: CHIPS (Chiral Invariant Phase Space) model Valid for µ-,tau-, π-, K-, anti-proton, neutron, anti-neutron, sigma-, anti-sigma+, Xi-, Omega- For µ- and tau- mesons this is a hybrid model creating Photons and Auger electrons from intra-atomic cascade (electromagnetic process) neutrinos radiated when the meson interacts with the nuclear quark (weak process) hadrons and nuclear fragments, created from the recoil quark interacting with nuclear matter (hadronic process) Nuclear Capture of Negative Particles at Rest using CHIPS (continued) π- and K- mesons are captured by nuclear clusters with subsequent hadronization Anti-barions (anti-hyperons) annihilate on the surface of nuclei with quasifree nucleons secondary mesons interact with nuclear matter neutrons are included for heavy nuclei, which can absorb low energy neutrons and decay. Using Nuclear Capture of Negative Particles at Rest using CHIPS The G4QCaptureAtRest process can be used for all negative particles, for negative pions: G4PionMinusInelasticProcess thePionMinusInelastic; G4LEPionMinusInelastic* theLEPionMinusModel; G4MultipleScattering thePionMinusMult; G4hIonisation thePionMinusIonisation; G4QCaptureAtRest thePionMinusAbsorption; pManager = G4PionMinus::PionMinus()->GetProcessManager(); pManager->AddDiscreteProcess(&theElasticProcess); theLEPionMinusModel = new G4LEPionMinusInelastic(); thePionMinusInelastic.RegisterMe(theLEPionMinusModel); pManager->AddDiscreteProcess(&thePionMinusInelastic); pManager->AddProcess(&thePionMinusIonisation, ordInActive,2, 2); pManager->AddProcess(&thePionMinusMult); pManager->AddRestProcess(&thePionMinusAbsorption, ordDefault); Validation of CHIPS model for pion Capture at Rest on Carbon Pion capture on 12C nucleus -1 10 -2 {use attachedneutrons picapC.eps file} deuterons 10 〈 〉 〈 〉 -3 Ekin e/m = 79.8 / 67.8 MeV Ekin e/m = 5.2 / 5.4 MeV 10 -4 10 -5 ) 10 -6 -1 10 -7 10 -8 10 -9 protons Capture 10 〈E 〉 = 8.7 / 9.8 MeV -2 kin e/m -1 10 -2 10 tritium Helium-4 -3 〈E 〉 = 2.5 / 1.8 MeV 〈E 〉 = 5.3 / 5.9 MeV 10 kin e/m kin e/m -4 10 -5 dN/pdE (MeV 10 -6 10 -7 10 -8 10 -9 Helium-3 Lithium 〈 〉 10 Ekin e/m = 0.6 / 0.8 MeV 0 200 400 0 200 400 k = (p+Ekin)/2 (MeV) Validation of CHIPS for Anti-Proton Capture at Rest on Uranium Antiproton annihilation on 238U nucleus -2 protons 10 {use attached u92146_c.eps file}neutrons deuterons tritons (x 0.1) -3 kaons (x 100) 10 pions (x 100) ) He-3 (x 0.1) -1 He-4 (x 0.001) -4 10 -5 10 Annihilation -2 -6 10 -7 10 dN/pdE (MeV -8 10 -9 10 200 400 600 800 1000 k = (p+Ekin)/2 (MeV) Also….. Inelastic Ion reactions Binary Cascade Abrasion/Ablation Electromagnetic dissociation Nuclear elastic Coherent elastic nucleon-nucleon scattering Muon nuclear Leading Particle Bias (partial MARS re-write) Radioactive decay Biasing Summary Validation of physics list for specific use case important For new use cases absolutely needed Further reading: Geant4 Physics reference manual Navigate from Geant4 home page http://cern.ch/geant4 Geant4 «Results&Publications» web page “Physics of shower simulation at LHC, at the example of Geant4”, J.P. Wellisch, CERN Academic training March 1-4, 2004. http://agenda.cern.ch/fullAgenda.php?ida=a036555.
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