dorsal/arxiv
View SchemaApplication of the Kerman-Klein method to the solution of a spherical shell model for a deformed rare-earth nucleus
| Authors | Pavlos Protopapas, Abraham Klein |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9702043 |
| URL | https://arxiv.org/abs/nucl-th/9702043 |
| DOI | 10.1103/PhysRevLett.78.4347 |
| Journal | Phys.Rev.Lett. 78 (1997) 4347-4350 |
Abstract
Core-particle coupling models are made viable by assuming that core properties such as matrix elements of multipole and pairing operators and excitation spectra are known independently. From the completeness relation, it is seen, however, that these quantities are themselves algebraic functions of the calculated core-particle amplitudes. For the deformed rare-earth nucleus 158Gd, we find that these sum rules are well-satisfied for the ground state band, implying that we have found a self-consistent solution of the non-linear Kerman-Klein equations.
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"abstract": "Core-particle coupling models are made viable by assuming that core\nproperties such as matrix elements of multipole and pairing operators and\nexcitation spectra are known independently. From the completeness relation, it\nis seen, however, that these quantities are themselves algebraic functions of\nthe calculated core-particle amplitudes. For the deformed rare-earth nucleus\n158Gd, we find that these sum rules are well-satisfied for the ground state\nband, implying that we have found a self-consistent solution of the non-linear\nKerman-Klein equations.",
"arxiv_id": "nucl-th/9702043",
"authors": [
"Pavlos Protopapas",
"Abraham Klein"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevLett.78.4347",
"journal_ref": "Phys.Rev.Lett. 78 (1997) 4347-4350",
"title": "Application of the Kerman-Klein method to the solution of a spherical shell model for a deformed rare-earth nucleus",
"url": "https://arxiv.org/abs/nucl-th/9702043"
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