Triple and double differential cross sections for ionization of atomic hydrogen by positive-bare ions impact

In the present study, the triple and double differential cross sections for ionization of atomic hydrogen from the ground state (1s) and first excited state (2s) by H⁺, He²⁺ and Li³⁺ positive-bare ions impact have been studied. Calculations have been performed using the second Born approximation. The closure approximation was employed, and the final integrals were solved using Gauss-Legendre and Gauss-Laguerre numerical methods. The double differential cross section of atomic hydrogen ionization from the ground state by protons at 75 keV, scattering angle (θ_s) from 0 to 1 mrad, and the ejected electron energies 16.4, 26.4, 36.4 and 39.4 eV are compared to available experimental and theoretical results. The results of the triple differential cross section from 1s and 2s states of atomic hydrogen in collision with H⁺, He²⁺ and Li³⁺ positive-bare ions at certain scattering angles of projectile (θ_s) are also presented.