https://doi.org/10.1140/epjp/s13360-025-06373-2
Regular Article
Single-electron capture in proton–helium collision using three-body Coulomb–Born distorted wave (CBDW-3B) approximation
Department of Physics, Shahid Bahonar University of Kerman, Kerman, Iran
Received:
16
December
2024
Accepted:
28
April
2025
Published online:
21
May
2025
In the present context, the three-body Coulomb–Born distorted wave (CBDW-3B) approximation is used to calculate the differential and total cross sections for single-electron capture from helium atoms by proton impact. The primary four-body problem is reduced to the three-body process using the Roothan–Hatree–Fock (RHF) wave function to describe the helium atom as a target. The initial six-dimensional integral of the transition amplitude is reduced to a one-dimensional integral through analytical calculations. The performance of the current three-body method, which neglects dynamic electronic correlation, is evaluated by comparing its results with the four-body methods and corresponding experimental data. Comparisons show reasonable agreement in the total cross sections and the small scattering angles of the differential cross sections.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
