## First-order theory for charge exchange with correct boundary conditions: General results for hydrogenlike and multielectron target atoms

The first Born approximation of Belkic-acute-accent, Gayet, and Salin (Phys. Rep. 56, 279 (1979)) with correct boundary conditions for charge exchange is thoroughly investigated. Functional analysis is used to derive general result T/sub n//sub l//sub m//sub ;//sub n//sub '//sub l//sub '//sub m//sub '//sup (1)/ of the transition amplitude for electron capture from hydrogenlike and multielectron atoms by bare nuclei. The basic matrix element is a two-center Dalitz integral with the logarithmic Coulomb phase factors, which has a broad spectrum of applications in both atomic and molecular physics. Multielectron target atoms are treated within an independent-particle model which goes beyond themore »