An Approximation for the Doppler Broadening Function and Interference Term Using Fourier Series

The calculation of the Doppler broadening function   , x   and of the interference term  ,  x   are important in the generation of nuclear data. In a recent paper, Goncalves and Martinez proposed an analytical approximation for the calculation of both functions based in sine and cosine Fourier transforms. This paper presents new approximations for these functions,  ,  x   and   , x   , using expansions in Fourier series, generating expressions that are simple, fast and precise. Numerical tests applied to the calculation of scattering average cross section provided satisfactory accuracy.