By using semiclassical method and considering deformed Woods–Saxon mean field potential, single-particle level density g, level density parameter a, and nuclear level density have been calculated for some deformed nuclei with deformation parameters ([Formula: see text], [Formula: see text]). Significant difference between deformed and spherical level density parameter and nuclear level density were observed. The effect of [Formula: see text] on level density parameter was notable. A simple formula for single-particle level density has been introduced.
Data on nuclear-level densities extracted from transmission data or gamma energy spectrum store the basic statistical information about nuclei at various temperatures. Generally, this extracted data goes through model fitting using computer codes like CASCADE. However, recently established semiclassical methods involving no adjustable parameters to determine the level density parameter for magic and semi-magic nuclei give a good agreement with the experimental values. One of the popular ways to paramaterize the level density parameter which includes the shell effects and its damping was given by Ignatyuk. This damping factor is usually fitted from the experimental data on nuclear-level density and it comes around 0.05 [Formula: see text]. In this work, we calculate the Ignatyuk damping factor for various nuclei using semiclassical methods.
A Laplace-like formula for the energy dependence of the nuclear level density parameter
