Elsevier

Physics Letters B

Volume 277, Issue 3, 5 March 1992, Pages 238-242
Physics Letters B

Transformation to pseudo-SU (3) in heavy deformed nuclei

https://doi.org/10.1016/0370-2693(92)90741-LGet rights and content

Abstract

The explicit form of the unitary operator connecting the normal parity harmonic oscillator eigenstates with the full set of eigenstates of a pseudo-oscillator is determined. This operator is used to calculate the transformed Nilsson hamiltonian in pseudo- space. For the latter, the spin-orbit partners are almost degenerate showing that pseudo-SU (3) symmetry is approximately preserved in heavy nuclei.

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Cited by (74)

  • Hidden pseudospin and spin symmetries and their origins in atomic nuclei

    2015, Physics Reports
    Citation Excerpt :

    It turns out that the origin of pseudospin symmetry is connected with a special ratio between the strengths of the spin–orbit and orbit–orbit interactions. This idea was followed by the groups at Louisiana State University, University of California, and National Autonomous University of Mexico (UNAM), and they tried to understand the spin–orbit and orbit–orbit potentials in order to explain the pseudospin symmetry [30,56–58]. The relation between the pseudospin symmetry and the relativistic mean-field (RMF) theory [59–64] was first noted in Ref. [30], where the relativistic mean-field theory was used to explain approximately such a special ratio between the strengths of the spin–orbit and orbit–orbit interactions.

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1

This work was supported in part by project UNAM-DGAPA IN 10-3091.

2

Member of El Colegio Nacional.

3

Directeur de recherches FNRS.

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