dorsal/arxiv
View SchemaDerivation and assessment of strong coupling core-particle model from the Kerman-Klein-D\"onau-Frauendorf theory
| Authors | Pavlos Protopapas, Abraham Klein |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9608011 |
| URL | https://arxiv.org/abs/nucl-th/9608011 |
| DOI | 10.1103/PhysRevC.55.699 |
| Journal | Phys.Rev.C55:699-713,1997 |
Abstract
We review briefly the fundamental equations of a semi-microscopic core-particle coupling method that makes no reference to an intrinsic system of coordinates. We then demonstrate how an intrinsic system can be introduced in the strong coupling limit so as to yield a completely equivalent formulation. It is emphasized that the conventional core-particle coupling calculation introduces a further approximation that avoids what has hitherto been the most time-consuming feature of the full theory, and that this approximation can be introduced either in the intrinsic system, the usual case, or in the laboratory system, our preference. A new algorithm is described for the full theory that largely removes the difference in complexity between the two types of calculation. Comparison of the full and approximate theories for some representative cases provides a basis for the assessment of the accuracy of the traditional approach. We find that for well-deformed nuclei, e.g. 157Gd and 157Tb, the core-coupling method and the full theory give similar results.
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"abstract": "We review briefly the fundamental equations of a semi-microscopic\ncore-particle coupling method that makes no reference to an intrinsic system of\ncoordinates. We then demonstrate how an intrinsic system can be introduced in\nthe strong coupling limit so as to yield a completely equivalent formulation.\nIt is emphasized that the conventional core-particle coupling calculation\nintroduces a further approximation that avoids what has hitherto been the most\ntime-consuming feature of the full theory, and that this approximation can be\nintroduced either in the intrinsic system, the usual case, or in the laboratory\nsystem, our preference. A new algorithm is described for the full theory that\nlargely removes the difference in complexity between the two types of\ncalculation. Comparison of the full and approximate theories for some\nrepresentative cases provides a basis for the assessment of the accuracy of the\ntraditional approach. We find that for well-deformed nuclei, e.g. 157Gd and\n157Tb, the core-coupling method and the full theory give similar results.",
"arxiv_id": "nucl-th/9608011",
"authors": [
"Pavlos Protopapas",
"Abraham Klein"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.55.699",
"journal_ref": "Phys.Rev.C55:699-713,1997",
"title": "Derivation and assessment of strong coupling core-particle model from the Kerman-Klein-D\\\"onau-Frauendorf theory",
"url": "https://arxiv.org/abs/nucl-th/9608011"
},
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