CERN Program Library Long Writeup W5013 - CERNLIB ...

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Therefore, the differential cross-section can be written as dσ dv = f(v)g(v) (2) with f(v) = g(v) = [ v ln 1 Φ(0) ( )] −1 vmax v c (1 − v + 3 4 v2 ) Φ(δ) We can sample the photon energy in the following way (r 1 , r 2 uniformly distributed random numbers in ]0, 1[): 1. sample v: ( ) r1 vmax v = v c v c 2. compute the rejection function g(v) and: (a) if r 2 >g(v) go back to step 1 (b) if r 2 ≤ g(v), accept v and k = vE. After the successful sampling of k, GBREMM generates the polar angles of the radiated photon with respect to an axis defined along the parent muon’s momentum calling GBTETH. For more information on the sampling procedure see [PHYS341]. PHYS441 – 2 312
Geant 3.16 GEANT User’s Guide PHYS450 Origin : L.Urbán Submitted: 24.03.86 Revision : Revised: 16.12.93 Documentation : 1 Subroutines Total cross-section and energy loss for e-e+ pair production by muons CALL GPRELA GPRELA adds to the muon energy loss tables the contribution due to µ-nucleus interactions and e + e − -pair production in which the energy of the pair is below threshold (see later). For the contribution of pair production, it calls the function GPRELM. The energy binning is in the array ELOW (common /CGMULO/). The following pointers are used: JMA = LQ(JMATE-I) pointer to the I th material; JEL2 = LQ(JMA-2) pointer to dE/dx for µ + µ − . GPRELA is called during initialisation by GPHYSI. VALUE = GPRELM (Z,T,CUT) Z T CUT (REAL) atomic number of the material; (REAL) kinetic energy of the muon; (REAL) maximum energy for the pair considered by the routine. GPRELM calculates the energy loss due to the direct production by muons of e − e + pairs with energy below CUT (PPCUTM in common /GCCUTS/). Above this cut, the direct pairs are produced as discrete processes (see [PHYS451]). GPRELM is called by GPRELA. CALL GPRSGA GPRSGA calculates the total cross-section for the pair production by photons and the direct pair production by muons. It tabulates the mean free path in cm as a function of medium and energy. For the direct pair production of muons, it calls the function GPRSGM. The energy binning is in the array ELOW (common /CGMULO/). The following pointers are used: JMA = LQ(JMATE-I) JPAIR = LQ(JMA-10) JPAIR+NEK1 pointer to the I th material; pointer to photon pair production cross-sections; pointer to muon pair production. GPRSGA is called during initialisation by GPHYSI. VALUE = GPRSGM (Z,T,CUT) Z T CUT (REAL) atomic number of the medium; (REAL) kinetic energy of the muon; (REAL) minimum energy for the e − e + pair. GPRSGM calculates the total cross-section for muon direct pair production where the energy of the pair is greater than CUT (PPCUTM in common /GCCUTS/). It is called by GPRSGA (see [PHYS451]). 313 PHYS450 – 1
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CERN Program Library Long Writeup W
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Chapter 1: Catalog of Geant section
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IOPA500 KINE001 KINE100 KINE199 KIN
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Geant 3.21 GEANT User’s Guide AAA
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GUDIGI GUOUT GTRIGC UGLAST GLAST GU
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Particles JPART Materials JMATE/JTM
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SUBROUTINE UGEOM + (’TGT ’,2,
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LQ(JHEAD-1) user link IQ(JHEAD+1) I
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