Nuclear Level Densities in the Constant-Spacing Model
Nuclear Theory
2013-01-08 v2
Abstract
A new method to calculate level densities for non-interacting Fermions within the constant-spacing model with a finite number of states is developed. We show that asymptotically (for large numbers of particles or holes) the densities have Gaussian form. We improve on the Gaussian distribution by using analytical expressions for moments higher than the second. Comparison with numerical results shows that the resulting sixth-moment approximation is excellent except near the boundaries of the spectra and works globally for all particle/hole numbers and all excitation energies.
Cite
@article{arxiv.1206.1542,
title = {Nuclear Level Densities in the Constant-Spacing Model},
author = {Adriana Pálffy and Hans A. Weidenmüller},
journal= {arXiv preprint arXiv:1206.1542},
year = {2013}
}
Comments
14 pages, 4 figures; v2 updated to the published version - extended the motivation; results unchanged