On the relativistic foundations of pseudospin symmetry in nuclei

J. N. Ginocchio; A. Leviatan

doi:10.1016/S0370-2693(98)00188-9

On the relativistic foundations of pseudospin symmetry in nuclei

J. N. Ginocchio^*
, A. Leviatan

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

173 Scopus citations

Abstract

We show that the generators of pseudospin symmetry are the non-relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, V_V = -V_S. Furthermore, within this framework, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials.

Original language	English
Pages (from-to)	1-5
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	425
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(98)00188-9
State	Published - 16 Apr 1998

Bibliographical note

Funding Information:
We thank A.S. Goldhaber for discussions and for informing us about Refs. [17–19, 22] . This research was supported in part by the United States Department of Energy and in part by a grant from the Israel Science Foundation.

Keywords

Dirac Hamiltonian
Pseudospin
Relativistic mean field theory
Symmetry

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10.1016/S0370-2693(98)00188-9

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abstract = "We show that the generators of pseudospin symmetry are the non-relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, VV = -VS. Furthermore, within this framework, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials.",

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note = "Funding Information: We thank A.S. Goldhaber for discussions and for informing us about Refs. [17–19, 22] . This research was supported in part by the United States Department of Energy and in part by a grant from the Israel Science Foundation.",

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N2 - We show that the generators of pseudospin symmetry are the non-relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, VV = -VS. Furthermore, within this framework, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials.

AB - We show that the generators of pseudospin symmetry are the non-relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, VV = -VS. Furthermore, within this framework, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials.

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KW - Pseudospin

KW - Relativistic mean field theory

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On the relativistic foundations of pseudospin symmetry in nuclei

Abstract

Bibliographical note

Keywords

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