Improved accuracy moments method for spin-dependent shell model nuclear level densities

Spin- and parity-dependent nuclear level densities (NLD) are widely used to predict reaction rates of interest for nuclear astrophysics, and nuclear-energy and medical-physics applications. Shell model techniques proved to be able to provide accurate NLDs for an increasing number of nuclei. Recently, we proposed an efficient methodology for obtaining NLDs based on the moments method of the statistical spectroscopy. In the present letter we proposed two new improvements to our methodology: i) a correct renormalization of the moments used with the finite-range Gaussians, and ii) an increasing in its accuracy and its efficiency due to an optimal choice of the finite-range cutoff parameter.