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CERN Program Library Long Writeup W5013 - CERNLIB ...

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where:<br />

Γ = kα<br />

2π<br />

[<br />

ɛ =<br />

W<br />

E<br />

1<br />

1 − ɛ<br />

1+2 Q2 + ν 2<br />

Q 2 tan 2 θ 2 ]<br />

Q 2 and ν are the normal scaling variables expressed by:<br />

Q 2 = −q 2 =2(EW −|p||p ′ | cos θ − m 2 −µ) and ν = E − W<br />

here σ T and σ S are the photo-absorption cross-sections for transverse and longitudinal photons respectively<br />

for which the relation used is:<br />

(<br />

σ S =0.3 1 − 1 )<br />

1.868 Q2 ν σ T<br />

and σ T is assumed to be constant σ T =0.12 mb. For the incident flux K of the photons Gillman’s convention<br />

is used:<br />

K = ν + Q 2 /2ν<br />

A three-dimensional importance sampling in the variables E, W and θ is performed each time an interaction<br />

has to occur.<br />

This set of routines only works if GUPHAD calls GPGHEI and GUHADR calls GHEISH. The hadrons are generated<br />

in an approximate way. The virtual photon is replaced by a real pion of random charge with the same kinetic<br />

energy. Then the GUHADR routine is called to generate a π-nucleus inelastic scattering. While the final state<br />

generated this way gives a good approximation for calorimetric purposes, the kinematics of the final state<br />

may be a rather poor approximation of reality. The muon-nucleus interactions are activated by the MUNU<br />

data record of GEANT. After a muon-nucleus interaction the muon will still be the current particle. If MUNU 1<br />

has been specified, secondaries coming from the interaction of the virtual photon with the nucleus will be in<br />

the GEANT temporary stack. If MUNU 2 has been specified, then the secondary particles will not be generated<br />

and the energy lost by the muon will be added to DESTEP. For each material a table of muon-nucleus crosssections<br />

is stored at initialisation time. See material bank structure for details.<br />

PHYS460 – 2 319

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