Abstract
In this study, a relation between generalized level density and standard level density is derived. Using this relation and Bethe formula of Fermi gas model for standart level density we obtained a generalized nuclear level density formula for nucleus. Generalized level densities were calculated for some nuclei in mass region between 20 and 50 for different q values close to 1. Our results explain experimental data better than those of Gilbert-Cameron (GC) and Rohr, which are two of the leading compilations in evaluating nuclear level density.
Highlights
Nuclear structure physics is devoted to the study of the properties of nuclei at low excitation energies, where individual energy levels can be solved
Our calculations of level density have been performed with using formula in Eq(11) with energy shift δ that was due to pairing
The remaining parameters of generalized level density formula are the level density parameter a and the order parameter q which is less than 1 and has a lower limit which depends on level density parameter a
Summary
Nuclear structure physics is devoted to the study of the properties of nuclei at low excitation energies, where individual energy levels can be solved. Instead of inverse q -Laplace transform of partition function we use a different approach to calculate the level density within statistical mechanics In this approach, we use a relationship between the generalized nuclear level density and the standard level density which is obtained by following Curilef's prescription [35] for the derivation of the relation between generalized statistical quantity and its standart quantity q → 1. Following the lines from Eq (1) to Eq (6) for q > 1 case, one can obtain the generalized level density for q < 1 At this stage, we need to adopt the relationship appeared in Eq(9 ) to perform the calculations for nuclear level density, because nucleus is composed of two kinds of particles, neutrons and protons. Replacing the nuclear level density ρ1( E,N ,Z ,ξ ) in the integrand of the Eq(9), the generalized level density for q < 1 is obtained as ρq(U ,N ,Z )=
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