Symplectic Dynamical Symmetries in Algebraic Models of Nuclear Structure

被引：0

作者：

Georgieva, A. I. ^{[1
,2
]}

Ganev, H. G. ^{[1
]}

Ivanov, M. I. ^{[1
]}

Garistov, V. P. ^{[1
]}

Draayer, J. P. ^{[2
]}

机构：

[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, Sofia, Bulgaria

[2] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70802 USA

来源：

GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS | 2011年 / 284卷

基金：

美国国家科学基金会;

关键词：

INTERACTING BOSON MODEL; PROTON; STATES;

D O I：

10.1088/1742-6596/284/1/012028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on a generalized reduction scheme for boson representations of symplectic algebras of the type Sp(4k, R), we consider the symplectic extension of a boson realization of compact unitary algebras for the k = 1, k = 3 and k = 6 cases, which have relevance in nuclear structure theory. First we review an application of the k = 1 case for the creation of a Sp(4, R) classification scheme, which is used for obtaining a generalized phenomenological description of important nuclear characteristics in terms of the classification quantum numbers for large sets of nuclei. Then for the k = 3 and k = 6 cases we outline some of the new possibilities that appear in the symplectic extensions of the Interacting Vector Boson Model (IVBM) and the Interacting Boson Model (IBM-2), respectively. The examples presented are used to describe the collective modes of the nuclear spectra in individual nuclei as well as in sequences of nuclei.

引用

页数：10

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