dorsal/arxiv
View SchemaSystematics of quadrupolar correlation energies
| Authors | M. Bender, G. F. Bertsch, P. -H. Heenen |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0410023 |
| URL | https://arxiv.org/abs/nucl-th/0410023 |
| DOI | 10.1103/PhysRevLett.94.102503 |
| Journal | Phys.Rev.Lett. 94 (2005) 102503 |
Abstract
We calculate correlation energies associated with the quadrupolar shape degrees of freedom with a view to improving the self-consistent mean-field theory of nuclear binding energies. The Generator Coordinate Method is employed using mean-field wave functions and the Skyrme SLy4 interaction. Systematic results are presented for 605 even-even nuclei of known binding energies, going from mass A=16 up to the heaviest known. The correlation energies range from 0.5 to 6.0 MeV in magnitude and are rather smooth except for large variations at magic numbers and in light nuclei. Inclusion of these correlation energies in the calculated binding energy is found to improve two deficiencies of the Skyrme mean field theory. The pure mean field theory has an exaggerated shell effect at neutron magic numbers and addition of the correlation energies reduce it. The correlations also explain the phenomenon of mutually enhanced magicity, an interaction between neutron and proton shell effects that is not explicable in mean field theory.
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"abstract": "We calculate correlation energies associated with the quadrupolar shape\ndegrees of freedom with a view to improving the self-consistent mean-field\ntheory of nuclear binding energies. The Generator Coordinate Method is employed\nusing mean-field wave functions and the Skyrme SLy4 interaction. Systematic\nresults are presented for 605 even-even nuclei of known binding energies, going\nfrom mass A=16 up to the heaviest known. The correlation energies range from\n0.5 to 6.0 MeV in magnitude and are rather smooth except for large variations\nat magic numbers and in light nuclei. Inclusion of these correlation energies\nin the calculated binding energy is found to improve two deficiencies of the\nSkyrme mean field theory. The pure mean field theory has an exaggerated shell\neffect at neutron magic numbers and addition of the correlation energies reduce\nit. The correlations also explain the phenomenon of mutually enhanced magicity,\nan interaction between neutron and proton shell effects that is not explicable\nin mean field theory.",
"arxiv_id": "nucl-th/0410023",
"authors": [
"M. Bender",
"G. F. Bertsch",
"P. -H. Heenen"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevLett.94.102503",
"journal_ref": "Phys.Rev.Lett. 94 (2005) 102503",
"title": "Systematics of quadrupolar correlation energies",
"url": "https://arxiv.org/abs/nucl-th/0410023"
},
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