Symmetries and deformations in the spherical shell model
| Autor: | S. Pittel, Piet Van Isacker |
|---|---|
| Přispěvatelé: | Grand Accélérateur National d'Ions Lourds (GANIL), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), Department of Physics and Astronomy [Newark], University of Delaware [Newark] |
| Rok vydání: | 2016 |
| Předmět: |
[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]
Nuclear Theory Shell (structure) FOS: Physical sciences 01 natural sciences Spherical shell Nuclear Theory (nucl-th) symbols.namesake 0103 physical sciences 010306 general physics Mathematical Physics Physics 03.65.Fd 21.60.Cs 21.60.Ev 21.60.Fw 010308 nuclear & particles physics Condensed Matter Physics Collective model Atomic and Molecular Physics and Optics Symmetry (physics) Physics::History of Physics Bohr model Nuclear shell model Classical mechanics Mean field theory Algebraic methods in quantum mechanics Homogeneous space Quadrupole symbols Group theory Rotation (mathematics) |
| Zdroj: | Physica Scripta Physica Scripta, 2016, 91 (2), 023009 (23pp). ⟨10.1088/0031-8949/91/2/023009⟩ |
| ISSN: | 0031-8949 1402-4896 |
| DOI: | 10.48550/arxiv.1601.02837 |
| Popis: | We discuss symmetries of the spherical shell model that make contact with the geometric collective model of Bohr and Mottelson. The most celebrated symmetry of this kind is SU(3), which is the basis of Elliott's model of rotation. It corresponds to a deformed mean field induced by a quadrupole interaction in a single major oscillator shell N and can be generalized to include several major shells. As such, Elliott's SU(3) model establishes the link between the spherical shell model and the (quadrupole component of the) geometric collective model. We introduce the analogue symmetry induced by an octupole interaction in two major oscillator shells N-1 and N, leading to an octupole-deformed solution of the spherical shell model. We show that in the limit of large oscillator shells (large N) the algebraic octupole interaction tends to that of the geometric collective model. Comment: 23 pages, 7 figures, 2 tables |
| Databáze: | OpenAIRE |
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