The Doppler Broadening Function using the Kaniadakis distribution

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.