PREPRINT
4E3A2E5E-341D-4FF4-8E77-B1DE5741E1B9

# Statistical models of nuclear level densities

Calvin W. Johnson, Jameel-Un Nabi, W. Erich Ormand

Submitted on 17 May 2001

## Abstract

We present calculations of nuclear level densities that are based upon the detailed microphysics of the interacting shell model yet are also computationally tractable. To do this, we combine in a novel fashion several previously disparate ideas from statistical spectroscopy, namely partitioning of the model space into subspaces, analytic calculations of moments up to fourth order directly from the two-body interaction, and Zuker's binomial distribution. We get excellent agreement with full scale interacting shell model calculations. We also calculate ab initio'' the level densities for ${}^{29}$Si and ${}^{57}$Co and get reasonable agreement with experiment.

## Preprint

Comment: 13 pages, 3 figures, submitted to PRL

Subjects: Nuclear Theory; Astrophysics