Electron scattering on atomic hydrogen and hydrogenoid atoms in their metastable state (2S-2S) in the relativistic regime

Abstract

We present, in the relativistic regime, the results of the study of elastic scattering of hydrogen atoms in its metastable state (2S-2S) by electron impact in the absence of a laser field. In the first calculation, semi-relativistic wave functions present hydrogen states. Dirac spinor describes the incident and scattered electrons. The condition Zα<<1 of using Darwin wave functions has been verified. The second approach uses the exact relativistic calculation of this process. The relativistic case calculations converge to those of the non-relativistic case within the low electron velocity range. In the high incoming energy range, the Coulomb effect and exchange effect are neglected. We present the relativistic differential cross-section RDCS as a function of the final scattering angle for different energies of the incident electron. The effect of atomic number Z for hydrogenoid atoms on the cross-section is examined.