Doubly Differential Cross Sections For Proton Impact Ionization Of Atomic Hydrogen

A. C. Roy, Ritu Dey

Department of Physics, University of Kalyani, Kalyani-741235, W.B., India

The ionization of atomic hydrogen by proton impact constitutes one of the simplest reaction events. Unlike electron impact collisions, there is no exchange interaction between the target and the projectile in the present case. This investigation is concerned with the evaluation of doubly differential cross sections (DDCS) for the ionization of atomic hydrogen by proton impact using the eikonal approximation (EA) [1]. We have been able to reduce the six-dimensional eikonal amplitude for the above mentioned ionization process to a two dimensional integral. As an illustration, we have computed DDCS for the proton-hydrogen scattering at the incident energy of 114 KeV. We find that the DDCS obtained in the EA for the scattering angle 20 degree at the ejection energies of 1.5,3.0,5.0 and 7.5 eV is in better agreement with experiment than the FBA. The reason is that the projectile-nucleus interaction term is missing in the FBA, but in the EA both the projectile-nucleus and the projectile-electron interaction terms are present in the transition matrix element.
The results of the detailed investigation will be presented at the conference.

References

[1] See, for example, H. Ray, and A. C.Roy, Phys. Rev. A 46 (1992) 5714 and references therein.

[2] G. W. Kerby III, M. W. Gealy, Y.-Y. Hsu, M. E. Rudd, D. R. Schultz, and C. O.Reinhold,
Phys. Rev. A 51 (1995) 2256.