dorsal/arxiv
View SchemaPossible solution of the Coriolis attenuation problem
| Authors | Pavlos Protopapas, Abraham Klein |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9611009 |
| URL | https://arxiv.org/abs/nucl-th/9611009 |
| DOI | 10.1103/PhysRevC.55.1810 |
| Journal | Phys.Rev.C55:1810-1818,1997 |
Abstract
The most consistently useful simple model for the study of odd deformed nuclei, the particle-rotor model (strong coupling limit of the core-particle coupling model) has nevertheless been beset by a long-standing problem: It is necessary in many cases to introduce an ad hoc parameter that reduces the size of the Coriolis interaction coupling the collective and single-particle motions. Of the numerous suggestions put forward for the origin of this supplementary interaction, none of those actually tested by calculations has been accepted as the solution of the problem. In this paper we seek a solution of the difficulty within the framework of a general formalism that starts from the spherical shell model and is capable of treating an arbitrary linear combination of multipole and pairing forces. With the restriction of the interaction to the familiar sum of a quadrupole multipole force and a monopole pairing force, we have previously studied a semi-microscopic version of the formalism whose framework is nevertheless more comprehensive than any previously applied to the problem. We obtained solutions for low-lying bands of several strongly deformed odd rare earth nuclei and found good agreement with experiment, except for an exaggerated staggering of levels for K=1/2 bands, which can be understood as a manifestation of the Coriolis attenuation problem. We argue that within the formalism utilized, the only way to improve the physics is to add interactions to the model Hamiltonian. We verify that by adding a magnetic dipole interaction of essentially fixed strength, we can fit the K=1/2 bands without destroying the agreement with other bands. In addition we show that our solution also fits 163Er, a classic test case of Coriolis attenuation that we had not previously studied.
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"abstract": "The most consistently useful simple model for the study of odd deformed\nnuclei, the particle-rotor model (strong coupling limit of the core-particle\ncoupling model) has nevertheless been beset by a long-standing problem: It is\nnecessary in many cases to introduce an ad hoc parameter that reduces the size\nof the Coriolis interaction coupling the collective and single-particle\nmotions. Of the numerous suggestions put forward for the origin of this\nsupplementary interaction, none of those actually tested by calculations has\nbeen accepted as the solution of the problem. In this paper we seek a solution\nof the difficulty within the framework of a general formalism that starts from\nthe spherical shell model and is capable of treating an arbitrary linear\ncombination of multipole and pairing forces. With the restriction of the\ninteraction to the familiar sum of a quadrupole multipole force and a monopole\npairing force, we have previously studied a semi-microscopic version of the\nformalism whose framework is nevertheless more comprehensive than any\npreviously applied to the problem. We obtained solutions for low-lying bands of\nseveral strongly deformed odd rare earth nuclei and found good agreement with\nexperiment, except for an exaggerated staggering of levels for K=1/2 bands,\nwhich can be understood as a manifestation of the Coriolis attenuation problem.\nWe argue that within the formalism utilized, the only way to improve the\nphysics is to add interactions to the model Hamiltonian. We verify that by\nadding a magnetic dipole interaction of essentially fixed strength, we can fit\nthe K=1/2 bands without destroying the agreement with other bands. In addition\nwe show that our solution also fits 163Er, a classic test case of Coriolis\nattenuation that we had not previously studied.",
"arxiv_id": "nucl-th/9611009",
"authors": [
"Pavlos Protopapas",
"Abraham Klein"
],
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"doi": "10.1103/PhysRevC.55.1810",
"journal_ref": "Phys.Rev.C55:1810-1818,1997",
"title": "Possible solution of the Coriolis attenuation problem",
"url": "https://arxiv.org/abs/nucl-th/9611009"
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