Harmonic oscillator and nuclear pseudospin

被引:0
|
作者
Lisboa, R [1 ]
Malheiro, M [1 ]
de Castro, AS [1 ]
Alberto, P [1 ]
Fiolhais, M [1 ]
机构
[1] Univ Fed Fluminense, Inst Fis, BR-24210340 Niteroi, RJ, Brazil
来源
IX HADRON PHYSICS AND VII RELATIVISTIC ASPECTS OF NUCLEAR PHYSICS | 2004年 / 739卷
关键词
D O I
暂无
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U, linear in r. Setting either Sigma = S + V or Delta = V - S to zero, analytical solutions for bound states are found. The eingenenergies and their nonrelativistic limits are presented and particular cases are discussed, especially the case Sigma = 0, for which pseudospin symmetry is exact.
引用
收藏
页码:569 / 571
页数:3
相关论文
共 50 条
  • [21] NUCLEAR SPECTROSCOPY WITH HARMONIC OSCILLATOR WAVE-FUNCTIONS
    TALMI, I
    HELVETICA PHYSICA ACTA, 1952, 25 (03): : 185 - 234
  • [22] NUCLEAR CLUSTER MOTION IN A DEFORMED HARMONIC OSCILLATOR POTENTIAL
    CHANG, FC
    NUCLEAR PHYSICS A, 1970, A156 (03) : 641 - &
  • [23] Probing nuclear cluster symmetries through the harmonic oscillator
    Freer, Martin
    Canavan, Rhiann
    Marsh, Thomas
    Souter, James
    EUROPEAN PHYSICAL JOURNAL A, 2021, 57 (03):
  • [24] COLLECTIVE PROPERTIES OF NUCLEAR ANISOTROPIC HARMONIC OSCILLATOR MODEL
    VERHAAR, BJ
    NUCLEAR PHYSICS, 1962, 35 (01): : 1 - &
  • [25] Probing nuclear cluster symmetries through the harmonic oscillator
    Martin Freer
    Rhiann Canavan
    Thomas Marsh
    James Souter
    The European Physical Journal A, 2021, 57
  • [26] Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator
    de Castro, A. S. t
    Alberto, P.
    Lisboa, R.
    Malheiro, M.
    PHYSICAL REVIEW C, 2006, 73 (05):
  • [27] Study on relationship between nuclear number A and hw of nuclear harmonic oscillator model
    Jiang, Debao
    Wuhan Gongye Daxue Xuebao/Journal of Wuhan University of Technology, 2000, 22 (05): : 104 - 105
  • [28] CHARACTERIZATION OF NUCLEAR PSEUDO-MULTIPLIERS ASSOCIATED TO THE HARMONIC OSCILLATOR
    Cardona, Duvan
    Samuel Barraza, E.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (04): : 163 - 172
  • [29] HARMONIC OSCILLATOR APPROXIMATION IN NON-SPHERICAL NUCLEAR POTENTIALS
    HIRD, B
    HUANG, KH
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1973, 18 (04): : 647 - 647
  • [30] Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator
    2018, Politechnica University of Bucharest (80):