Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem 131.1

Elastic Collisions

Physics — Landau & Lifshitz · scattering-high-energies-square-well

Problem

Determine the total scattering cross-section for a spherical square potential well of radius

a

and depth

U_0

with the condition (131.1):

U_0 \ll \hbar^2 k^2/m