Using the first-order Born-Faddeev approximation in ionization channel

In the present work, the triple and double differential cross sections of atomic hydrogen ionization in the collision with protons at intermediate and high energy ranges are calculated. Interaction potentials were considered as Coulomb form and the calculations of the triple differential cross section have been performed entirely analytically by using the first-order Born-Faddeev approximation. The triple differential cross sections at different energies and momentum transfers are compared with the first Born approximation results. Finally, the results of the double differential cross section have been obtained by this approximation are compared with experiment and available theoretical results.