dorsal/arxiv
View SchemaContinuum corrections to the level density and its dependence on excitation energy, n-p asymmetry, and deformation
| Authors | R. J. Charity, L. G. Sobotka |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405041 |
| URL | https://arxiv.org/abs/nucl-th/0405041 |
| DOI | 10.1103/PhysRevC.71.024310 |
| Journal | Phys.Rev. C71 (2005) 024310 |
Abstract
In the independent-particle model, the nuclear level density is determined from the neutron and proton single-particle level densities. The single-particle level density for the positive-energy continuum levels is important at high excitation energies for stable nuclei and at all excitation energies for nuclei near the drip lines. This single-particle level density is subdivided into compound-nucleus and gas components. Two methods were considered for this subdivision. First in the subtraction method, the single-particle level density is determined from the scattering phase shifts. In the Gamov method, only the narrow Gamov states or resonances are included. The level densities calculated with these two methods are similar, both can be approximated by the backshifted Fermi-gas expression with level-density parameters that are dependent on A, but with very little dependence on the neutron or proton richness of the nucleus. However, a small decrease in the level-density parameter was predicted for some nuclei very close to the drip lines. The largest difference between the calculations using the two methods was the deformation dependence on the level density. The Gamov method predicts a very strong peaking of the level density at sphericity for high excitation energies. This leads to a suppression of deformed configurations and, consequently, the fission rate predicted by the statistical model is reduced in the Gamov method.
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"abstract": "In the independent-particle model, the nuclear level density is determined\nfrom the neutron and proton single-particle level densities. The\nsingle-particle level density for the positive-energy continuum levels is\nimportant at high excitation energies for stable nuclei and at all excitation\nenergies for nuclei near the drip lines. This single-particle level density is\nsubdivided into compound-nucleus and gas components. Two methods were\nconsidered for this subdivision. First in the subtraction method, the\nsingle-particle level density is determined from the scattering phase shifts.\nIn the Gamov method, only the narrow Gamov states or resonances are included.\nThe level densities calculated with these two methods are similar, both can be\napproximated by the backshifted Fermi-gas expression with level-density\nparameters that are dependent on A, but with very little dependence on the\nneutron or proton richness of the nucleus. However, a small decrease in the\nlevel-density parameter was predicted for some nuclei very close to the drip\nlines. The largest difference between the calculations using the two methods\nwas the deformation dependence on the level density. The Gamov method predicts\na very strong peaking of the level density at sphericity for high excitation\nenergies. This leads to a suppression of deformed configurations and,\nconsequently, the fission rate predicted by the statistical model is reduced in\nthe Gamov method.",
"arxiv_id": "nucl-th/0405041",
"authors": [
"R. J. Charity",
"L. G. Sobotka"
],
"categories": [
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],
"doi": "10.1103/PhysRevC.71.024310",
"journal_ref": "Phys.Rev. C71 (2005) 024310",
"title": "Continuum corrections to the level density and its dependence on excitation energy, n-p asymmetry, and deformation",
"url": "https://arxiv.org/abs/nucl-th/0405041"
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