Single-electron capture in proton–helium collision using three-body Coulomb–Born distorted wave (CBDW-3B) approximation

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.