Simple High Order Accuracy Calculations of the Low Energy Mesic Atomic Collisions

Abstract

A problem of mesic atomic collisions in the mix of hydrogen isotopes is an object of the intensive investigations ^1–5 in recent time. It is necessarily to know the cross-sections of these reactions in a region of the collision energy from 0.001eV up to 50eV to describe a kinetics of muon catalyse fusion ⁶. The first systematic calculations of mesic atomic scattering processes

$$ {(a\mu )_{1s}} + b \to a + {(b\mu )_{1s}}$$

, where a, b = p), d, t - the nuclei of hydrogen isotopes, has been fulfiled in a “simple” two-level adiabatic approach⁷ (see also ¹).