# The Determination of Nuclear Level Densities from Experimental
Information

## B. J. Cole

Department of Physics

University of the Witwatersrand

WITS 2050, South Africa

**N. J. Davidson**

Department of Mathematics

University of Manchester Institute of
Science and Technology (UMIST)

P O Box 88, Manchester M60 1QD, England

## H. G. Miller

Department of Physics

University of Pretoria

Pretoria 0002, South Africa

### Abstract

Calculations involving excited nuclei often require knowledge of the
nuclear many-body density of states in regions where the analytic
dependence of this quantity on the energy is not well known. We show,
by means of a model calculation, that it should be possible to
satisfactorily infer the energy dependence of the nuclear level
density for a reasonable range of energies by use of the Maximum
Entropy Principle. The prior information required is the observed
number of states per energy interval at comparatively low energies,
where the experimental nuclear spectra are well known. Our results
suggest that the proposed method is sufficiently reliable to allow for
the calculation of thermal properties of nuclei (through the partition
function) over a reasonable temperature range.

MaxEnt 94 Abstracts / mas@mrao.cam.ac.uk