dorsal/arxiv
View SchemaBinomial level densities
| Authors | A. P. Zuker |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9910002 |
| URL | https://arxiv.org/abs/nucl-th/9910002 |
| DOI | 10.1103/PhysRevC.64.021303 |
| Journal | Phys.Rev. C64 (2001) 021303 |
Abstract
It is shown that nuclear level densities in a finite space are described by a continuous binomial function, determined by the first three moments of the Hamiltonian, and the dimensionality of the underlying vector space. Experimental values for $^{55}$Mn, $^{56}$Fe, and $^{60}$Ni are very well reproduced by the binomial form, which turns out to be almost perfectly approximated by Bethe's formula with backshift. A proof is given that binomial densities reproduce the low moments of Hamiltonians of any rank: A strong form of the famous central limit result of Mon and French. Conditions under which the proof may be extended to the full spectrum are examined.
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"abstract": "It is shown that nuclear level densities in a finite space are described by a\ncontinuous binomial function, determined by the first three moments of the\nHamiltonian, and the dimensionality of the underlying vector space.\nExperimental values for $^{55}$Mn, $^{56}$Fe, and $^{60}$Ni are very well\nreproduced by the binomial form, which turns out to be almost perfectly\napproximated by Bethe\u0027s formula with backshift. A proof is given that binomial\ndensities reproduce the low moments of Hamiltonians of any rank: A strong form\nof the famous central limit result of Mon and French. Conditions under which\nthe proof may be extended to the full spectrum are examined.",
"arxiv_id": "nucl-th/9910002",
"authors": [
"A. P. Zuker"
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"doi": "10.1103/PhysRevC.64.021303",
"journal_ref": "Phys.Rev. C64 (2001) 021303",
"title": "Binomial level densities",
"url": "https://arxiv.org/abs/nucl-th/9910002"
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