Statistical models of nuclear level densities

TL;DR

This paper introduces a new computational approach combining statistical spectroscopy techniques to accurately model nuclear level densities, aligning well with detailed shell model calculations and experimental data.

Contribution

It develops a novel method integrating partitioning, moment calculations, and binomial distribution to efficiently estimate nuclear level densities.

Findings

Excellent agreement with shell model calculations

Reasonable match with experimental data for specific isotopes

Efficient computational approach for nuclear level density estimation

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.