Application of the Second Born Approximation to Excitation of Hydrogen Atoms by Protons and Antiprotons Impact

Abstract

We present and compare total cross sections for excitation in collisions of protons and antiprotons with hydrogen atoms in the 2s state. Calculations are performed in the framework of the second Born approximation, in the energy range of 5-1000keV. We apply the usual approach of the second Born approximation, which approximates the summation raised by retaining few terms, as well as another approach approximates all energies corresponding to the intermediate states to that corresponding to the initial state. The annihilation effect in the case of the antiproton collision is investigated. We compare the results with the previous theoretical calculations.

Impact Excitations of Hydrogen Atoms in Collisions with Protons and Antiprotons

“…[16] The plane-wave second Born approximation has been used in investigations of the excitation of the 1𝑠 → 2𝑠 transition, [17,18] and the 1𝑠 → (2𝑠, 2𝑝) transitions [19] of atomic hydrogen by proton impact. Tantawi et al [20] performed calculations of 2𝑠-2𝑠 and 2𝑠-3𝑠 excitations of hydrogen atoms by collisions with protons and antiprotons using the second Born approximation.…”