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CERN Program Library Long Writeup W5013 - CERNLIB ...

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Geant 3.16 GEANT User’s Guide PHYS337<br />

Origin : N.Van Eijndhoven Submitted: 26.07.93<br />

Revision : Revised: 16.12.93<br />

Documentation :<br />

1 Subroutines<br />

Birks’ saturation law<br />

CALL GBIRK<br />

(EDEP)<br />

EDEP<br />

(REAL) and on output the energy equivalent to the calorimeter response in the current step.<br />

Organic scintillators are usually calibrated with particles whose energy is near the minimum ionisation<br />

(γβ ≈ 4). However, the energy response of such scintillators for large local energy deposit is attenuated.<br />

GBIRK returns the energy detected by the scintillator in the current step.<br />

2 Method<br />

The phenomenological description of the response attenuation of organic scintillators<br />

Birks’ law:<br />

∆E<br />

R =<br />

1+C 1 δ + C 2 δ 2 δ = 1 dE<br />

ρ dx<br />

The values quoted in [74] for the parameters C 1 ,C 2 are:<br />

[73] is known as<br />

MeV g −1 cm 2 (1)<br />

C 1 =0.013 g MeV −1 cm −2 and C 2 =9.6 × 10 −6 g 2 MeV −2 cm −4<br />

These values have been measured for various scintillators. If the charge of the particle is greater than one, a<br />

better description can be obtained by correcting C 1 :<br />

C 1 ′ = 7.2<br />

12.6 C 1 ≈ 0.5714C 1 (2)<br />

The values of the parameters of Birks’ formula (if defined) are in the ZEBRA bank next to the material bank:<br />

JTM = LQ(JMATE-NTMED) pointer to the current tracking medium bank;<br />

JTMN = LQ(JTM) pointer to the next bank to the current material one, where the specific tracking<br />

medium parameters are stored;<br />

MODEL = Q(JTMN+27) flag controlling the correction (2) for multiply charged particles:<br />

C1 = Q(JTMN+28)<br />

C2 = Q(JTMN+29)<br />

≠1 correction is not applied;<br />

=1 correction is applied;<br />

first parameter of the Birks’ formula;<br />

second parameter of the Birks’ formula.<br />

These parameters are set via the GSTPAR routine, with names BIRK1, BIRK2 and BIRK3, respectively. For<br />

instance, to define the standard Birks’ parameters for tracking medium ITM with correction for multiply<br />

charged particles, one would have to insert the following piece of code, after the definition of tracking<br />

media but before the call to GPHYSI<br />

CALL GSTPAR(ITM,’BIRK1’,1.)<br />

CALL GSTPAR(ITM,’BIRK2’,0.013)<br />

CALL GSTPAR(ITM,’BIRK3’,9.6E-6)<br />

275 PHYS337 – 1

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