Griffiths Introduction to Elementary Particles · Problem 6.8

Quantum Electrodynamics — David J. Griffiths

Physics — QFT · scattering-cross-section

Problem

Consider the case of elastic scattering,

A + B \to A + B

, in the lab frame (

B

initially at rest) assuming the target is so heavy (

m_B c^2 \gg E_A

) that its recoil is negligible. Use equation (6.34) to determine the differential scattering cross section.

[Answer: (d\sigma/d\Omega) = (\hbar/8\pi m_B c)^2 |\mathcal{M}|^2]