The Doppler Broadening Function using the Kaniadakis distribution

Abstract

Much work has been done in the recent decades on the fundamentals and applications of generalized statistical theories based on the quasi-Maxwellian distribution of probabilities. In this paper the effect of taking a non-Gaussian statistics – well known as Kaniadakis statistics – into consideration, based on a κ parameter which accounts for the non-Maxwellian behaviour in the study of neutron-nuclei interaction is assessed. In this context, an integral form for a generalized Doppler Broadening Function is obtained in the scope of the single-level formalism given by the Beth-Plackzec approximations. This new function reproduces the well-established conventional Doppler Broadening Function on the limit when κ→0. Numerical tests were carried out and by varying the κ parameter it was possible to study the range of values where the effect is relevant.