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
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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.
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页码:569 / 571
页数:3
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