Nuclear Level Densities at High Excitation Energies and for Large Particle Numbers
arXiv:1307.0400 · doi:10.1016/j.nuclphysa.2013.08.011
Abstract
Starting from an independent-particle model with a finite and arbitrary set of single-particle energies, we develop an analytical approximation to the many-body level density and to particle-hole densities. We use exact expressions for the low-order moments and cumulants to derive approximate expressions for the coefficients of an expansion of these densities in terms of orthogonal polynomials. The approach is asymptotically (mass number ) convergent and, for large , covers about 20 orders of magnitude near the maximum of (i.e., about half the spectrum). Densities of accessible states are calculated using the Fermi-gas model.
39 pages, 8 figures; v2 corrected few typos