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