https://doi.org/10.1140/epjp/s13360-026-07347-8
Regular Article
Four-body born distorted-wave (BDW-4B) approximation for single-electron capture from helium by hydrogen-like projectiles
Department of Physics, Shahid Bahonar University of Kerman, Kerman, Iran
a
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Received:
29
October
2025
Accepted:
20
January
2026
Published online:
1
February
2026
The four-body Born distorted-wave (BDW-4B) model is formulated and applied to study single-electron capture in collisions of hydrogen-like projectiles with helium atoms. Total cross sections in both the prior and post forms are obtained through six- and three-dimensional numerical quadratures, respectively. Calculations are carried out for H, He+, and Li2+ projectiles colliding with helium at intermediate and high impact energies. The Roothaan–Hartree–Fock (RHF) wave function is employed to represent the helium target. The sensitivity of the total cross sections to the choice of the final helium-like wave function is examined using two different forms. The post-prior discrepancy and the role of dynamic dielectronic correlation are analyzed as functions of the impact energy. Comparison between the present results and available experimental data shows good overall agreement, particularly for the prior form.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

