Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem Problem 5 (§126)

Elastic Collisions

Physics — Landau & Lifshitz · born-approximation-power-law-field

Problem

Determine in the Born approximation the total scattering cross-section in a field

U = \alpha/(r^2+a^2)^{n/2}

with

n > 2

, for fast particles (

ka \gg 1