engleski

The simple and efficient yet the accurate calculation of the double differential Compton cross section within the impulse approximation

We show that proper values for the effective charge hydrogen like (HL) wave functions are almost as good as more sophisticated Hatree-Fock (HF) wave functions in calculations of the double differential cross section for Compton scattered photons within the nonrelativistic impulse approximation (IA). Only the single value of the optimized efective charge for given subshell of an atom is required for an accurate description of Compton spectra in wide range of experimental coditions under which the IA is a good approximation. That is demonstrated by results obtained for K-shell of several atoms and higher subshells in germanium. The results show that the constancy of the optimal effective charge can be used as a criterion for the validity of the IA, which is explained within the existing knowledge of the IA.

hydrogen like wave function; Compton cross section; impulse approximation

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