For the ven different photon energies e first evaluate the coupling strengtbX(th

Question

For the ven different photon energies e first evaluate the coupling strengtbX(that determines the strength of interaction between electron and photon) which is defined as the ratio of photon's energy CE hu) to the rest energy of the electron C mo 0.511 MIeV) The values of a corresponding to the given photon energies are obtained as E 1.33 MeV aLa 2.6027 E 1.17 MeV ai 17 2.2896 Mishina 1.6340 E 0.835 MeV aoss Having obtained we calculate the totalKN cross-section per clectron for each photon energy using the relation 7.15, i e. 2(1 a) In (1 +2a) ln (1 2a) 1 3a 1 a (1 2a)2 1 2a 1 2a Next, we calculate cross-section per unit mass sal R also called Compton mass attenuation coefficient using the atomic mass (2 25.85 and molecular mass (A 64.29 in the relation VZ which are obtained as

Explanation / Answer

for E=0.662 MeV , alpha=1.2954

then K-N cross section=2*pi*r0^2*(((1+alpha)/(1+2*alpha))*((2*(1+alpha)/(1+2*alpha))-(ln(1+2*alpha)/alpha))+(ln(1+2*alpha)/(2*alpha))-((1+3*alpha)/(1+2*alpha)^2))

=1.4822*10^(-25) cm^2

for E=0.835 MeV, alpha=1.634

then K-N cross section=2*pi*r0^2*(((1+alpha)/(1+2*alpha))*((2*(1+alpha)/(1+2*alpha))-(ln(1+2*alpha)/alpha))+(ln(1+2*alpha)/(2*alpha))-((1+3*alpha)/(1+2*alpha)^2))

=1.6438*10^(-25) cm^2

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