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Journal Article

Nuclear Level Densities at High Excitation Energies and for Large Particle Numbers

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons30873

Pálffy,  Adriana
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons31164

Weidenmüller,  Hans A.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

Fulltext (public)

1307.0400.pdf
(Preprint), 434KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Pálffy, A., & Weidenmüller, H. A. (2013). Nuclear Level Densities at High Excitation Energies and for Large Particle Numbers. Nuclear Physics A, 917, 15-42. doi:10.1016/j.nuclphysa.2013.08.011.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-6401-1
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 $\rho_A(E)$ 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 $A \gg 1$) convergent and, for large $A$, covers about 20 orders of magnitude near the maximum of $\rho_A(E)$ (i.e., about half the spectrum). Densities of accessible states are calculated using the Fermi-gas model.