Fluctuations on nuclear level density parameter

The knowledge of nuclear level densities is a crucial input in various fields and applications such as the creation of consistent theoretical description of excited nucleus properties and the nuclear reaction cross-section calculations for many branches of nuclear physics, nuclear astrophysics, nuclear medicine, and applied areas such as medical physics, etc. The analytical expressions used for the nuclear level density calculations are based on the Fermi gas model. The most widely used description of the nuclear level density is the Bethe formula, based on the thermodynamic relation between entropy and the average energy of a system considered in the framework of non-interacting particles of the Fermi gas. However, the subsequent contributions based on this do not take into account the collective effects, which may play a basic role in describing the nuclear level density of some deformed nuclides