From exact to partial dynamical symmetries: lessons from the Interacting Boson Model

被引:0
|
作者
Leviatan, A. [1 ]
机构
[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91904 Jerusalem, Israel
关键词
Dynamical symmetry; partial dynamical symmetry; interacting boson model; NUCLEI;
D O I
10.1063/1.4759383
中图分类号
O59 [应用物理学];
学科分类号
摘要
We exploit the rich algebraic structure of the interacting boson model to explain the notion of partial dynamical symmetry (PDS), and present a procedure for constructing Hamiltonians with this property. We demonstrate the relevance of PDS to various topics in nuclear spectroscopy, including K-band splitting, odd-even staggering in the gamma-band and anharmonicity of excited vibrational bands. Special emphasis in this construction is paid to the role of higher-order terms.
引用
收藏
页码:61 / 68
页数:8
相关论文
共 50 条
  • [1] DYNAMICAL SYMMETRIES OF THE SPDF INTERACTING BOSON MODEL
    LIU, YX
    SUN, HZ
    ZHAO, EG
    [J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 1994, 20 (03) : 407 - 424
  • [2] SHAPE TRANSITION AND DYNAMICAL SYMMETRIES IN THE INTERACTING BOSON MODEL
    FRANK, A
    [J]. PHYSICAL REVIEW C, 1989, 39 (02): : 652 - 657
  • [3] Shapes and stability within the interacting boson model: Dynamical symmetries
    LopezMoreno, E
    [J]. PHYSICAL REVIEW C, 1996, 54 (05): : 2374 - 2384
  • [4] Exact dynamical and partial symmetries
    Leviatan, A.
    [J]. GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS, 2011, 284
  • [5] Symmetries of the interacting boson model
    P. Van Isacker
    [J]. Frontiers of Physics, 2018, 13
  • [6] Symmetries of the interacting boson model
    Van Isacker, P.
    [J]. FRONTIERS OF PHYSICS, 2018, 13 (06)
  • [7] Unified dynamical symmetries in the symplectic extension of the Interacting Vector Boson Model
    Georgieva, A. I.
    Ganev, H. G.
    Draayer, J. P.
    Garistov, V. P.
    [J]. 5TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES QTS5, 2008, 128
  • [8] RELATION BETWEEN THE INTERACTING BOSON-FERMION APPROXIMATION MODEL AND DYNAMICAL BOSON-FERMION SYMMETRIES
    BIJKER, R
    SCHOLTEN, O
    [J]. PHYSICAL REVIEW C, 1985, 32 (02): : 591 - 601
  • [9] DYNAMIC SYMMETRIES OF THE INTERACTING-BOSON MODEL FROM A NON-U(6) VIEWPOINT
    GEYER, HB
    HAHNE, FJW
    SCHOLTZ, FG
    [J]. PHYSICAL REVIEW LETTERS, 1987, 58 (05) : 459 - 462
  • [10] CLASSIFICATION OF THE DYNAMIC SYMMETRIES IN THE EXTENDED INTERACTING BOSON MODEL
    DEMEYER, H
    VANDERJEUGT, J
    VANDENBERGHE, G
    KOTA, VKB
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (10): : L565 - L568