Analytical calculation of the scattering amplitudes for transition from the ground to ns and np states of atomic hydrogen by proton impact in excitation channel-Semi classical formalism

In the present study, the excitation process has been reviewed by a semi classical formalism in charged particles impact with atomic hydrogen at the intermediate and high energy range. The multi channel Eikonal formalism has been implemented to calculate the scattering amplitudes. In this approach, as the first order Born approximation correction, the scattering amplitudes for ns and np excited states of atomic hydrogen have been calculated by proton impact analytically. The achieved differential and total cross section for n=2 state show a good agreement with available experimental and theoretical results at the intermediate and high energy range. By making use of formalism, the polarization coefficient of atomic hydrogen spectral lines can be calculated at the discussed energy range with good accuracy.