Answer to Question #113958 in Quantum Mechanics for Muhammad Asif

Question

A photon of energy E is scattered by a particle of rest energy Eo. Find the maximum kinetic energy of the recoiling particle in terms of E and Eo.

Answer 1

The maximum kinetic energy of the recoiling particle will be when the Compton scattering occurs at 180° angle:

$$K=E_0+E\bigg(1-\frac{m_ec^2}{hc^2m_e+2E}\bigg).$$