Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem 90.4

The Theory of Symmetry

Physics — Landau & Lifshitz · charge-exchange-hydrogen-proton

Problem

Determine the probability of charge exchange in a distant slow (relative velocity

v \ll 1

) collision between a hydrogen atom and a hydrogen ion (proton) (O. B. Firsov 1951). [Atomic units are used in this problem.]