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

The first Born approximation of Belkić, 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 $T_{\mathrm{nlm};n\mathcal{’}l\mathcal{’}m\mathcal{’}}^{\mathrm{}\left(1\right)\mathrm{}}$ 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 the customary procedure for scaled hydrogenlike wave functions. An accurate and efficient algorithm is encoded for both hydrogenic and Roothaan-Hartree-Fock orbitals into a single program for charge exchange between completely stripped ions and arbitrary atoms. An exemplary computation of the total cross sections is presently carried out for electron capture from all shells of Li by α particles in the energy range from 250 to 2500 keV. Good agreement is found with recent experimental data of McCullough et al. [J. Phys. B 15, 111 (1982)] and Sasao et al. [J. Phys. Soc. Jpn. 55, 102 (1986)].