The fully differential cross sections (FDCSs) for ionization of hydrogen atoms, being initially in the 2s excited state, by proton and antiproton impacts are calculated in the framework of the second Born approximation. The closure relation is employed to perform the summation over the intermediate states in the second Born approximation. The calculations are performed for emission of the electron in both scattering and perpendicular planes. The dependence of calculations on the projectile's charge is investigated at different impact energies and at small scattering angles where the significant contribution to the total cross section originates. It is noticed that the influence of the electric projectile's charge on the FDCSs in the perpendicular plane is much greater than it is in the scattering plane, and it increases as the scattering angle decreases. Finally, we calculate the doubly differential cross section (DDCS) for proton-induced reactions.
The direct impact excitations of ground-state hydrogen atoms by protons and antiprotons are investigated by using an impact parameter treatment. The calculations are performed within the solution of the coupled differential equations arising from the one-center atomic-orbital close-coupling approach as well as the impact parameter version of the first and second Born approximations. We have considered calculations that allow couplings to the đť‘›=1-5 states (up to g sub-levels) of the target atom as well as others, which neglect the effect of all states other than the initial and final states of the target atom. The sensitivity of the cross sections to the charge of the projectile is studied. The calculated cross sections are compared with those obtained by previous theoretical and experimental results.
Ionization process of the hydrogen atom, being initially in the excited 2p-state, projected by 30 keV proton and antiproton impact has been investigated. The second-Born approximation (SBA) is used to measure the triple differential cross sections (TDCSs). The closure relation is employed on the second-Born term to come over consideration of the intermediate states. The triple differential cross-sections are represented graphically against the ejection angle, for two scattering angles and ejected energies into both scattering and perpendicular geometric planes. The single differential cross-section (SDCS) is calculated in the framework of the first-Born approximation.
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