development of micro-pattern gaseous detectors – gem - LMU
development of micro-pattern gaseous detectors – gem - LMU
development of micro-pattern gaseous detectors – gem - LMU
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14 Chapter 1 Interactions <strong>of</strong> Charged Heavy Particle and Photons in Matter<br />
μ / ρ<br />
compton<br />
photo<br />
total<br />
Figure 1.7: The total mass attenuation coefficient for photons in Ar/CO2 at a ratio <strong>of</strong> 93/7 in the range <strong>of</strong><br />
10keV < Eγ < 10GeV [NIST 10]. Photoelectric effect (pink), Compton scattering (blue dotted) and pair<br />
production (blue straight line) summarize to the black envelope.<br />
Photons with higher energies (Eγ ≫ 1 MeV ) are dominantly absorbed by the nucleus for pair production:<br />
with<br />
pair<br />
γ + nucleus −→ e + + e − + nucleus, (1.24)<br />
µ ∝ const(Eγ) . (1.25)<br />
Due to momentum conservation the absorption <strong>of</strong> a photon by an atomic electron needs a third collision<br />
partner which takes the recoil momentum, in this case the atomic nucleus. In the vicinity <strong>of</strong> the<br />
nucleus, that is in the K shell, the cross section for absorption <strong>of</strong> a photon carrying energy Eγ is about<br />
80 % <strong>of</strong> the total cross section. If the photon energy lies above the K shell binding energy EK the total<br />
photoelectric cross section is given in the Born approximation by<br />
with EK < Eγ < mec 2 .<br />
σγ ≈ 32π<br />
3 · √ 2 · Z 5 α 4 · r 2 e ·<br />
mec 2<br />
Eγ<br />
2<br />
(1.26)