Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem 133.3

Elastic Collisions

Physics — Landau & Lifshitz · scattering-length-effective-range-square-well

Problem

Find the scattering length

\alpha

and the effective range of interaction

r_0

for a spherical square potential well of radius

a

and depth

U_0

containing a single discrete energy level near zero.