Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem 132.4

Elastic Collisions

Physics — Landau & Lifshitz · slow-particle-scattering-anomalous-power-law

Problem

Determine the scattering amplitude for slow particles in a field which decreases at large distances as

U \approx \beta r^{-n}

with

2 < n \leq 3