(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that, regardless of its initial energy, a photon cannot undergo compton scattering through an angle of more than 60 degrees and still be able to produce an electron positron pair. (Hint: Start by expressing the Compton wavelength of the electron in terms of the maximum photon wavelength needed for pair production.)

Electron/Positron rest energy: 0.511 MeV

2. Relevant equations

Compton equation: [tex]\lambda' - \lambda = \lambda_{c}(1 - cos(\phi))[/tex]

3. The attempt at a solution

[tex]\lambda_{c} = \frac{h}{mc} = 2.426*10^{-12}[/tex]

[tex]\frac{Mass of e^{-}*Mass of e^{+}}{h} = \frac{2(0.511)*10^{6}eV}{3.97*10^{-15}eV*s} = 2.57 * 10^{20}Hz[/tex]

Umm yeah, that is about it. In other words I have no idea how to express it in terms of the maximum wavelength needed for pair production. I'll keep working on it though.

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# Homework Help: Compton Scattering Problem

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