Relativistic Pseudospin Symmetry

Journal Article · Fri May 06 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3584059· OSTI ID:21516821

Ginocchio, Joseph N ^[1]

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1. MS 283, Los Alamos National Laboratory, Los Alamos, NM, 87545 (United States)

We show that the pseudospin symmetry that Akito Arima discovered many years ago (with collaborators) is a symmetry of the the Dirac Hamiltonian for which the sum of the scalar and vector potentials are a constant. In this paper we discuss some of the implications of this relativistic symmetry and the experimental data that support these predictions. In his original paper Akito also discussed pseudo-U(3) symmetry. We show that pseudo-U(3) symmetry is a symmetry of the Dirac Hamiltonian for which the sum of harmonic oscillator vector and scalar potentials are equal to a constant, and we give the generators of pseudo-U(3) symmetry. Going beyond the mean field we summarize new results on non relativistic shell model Hamiltonians that have pseudospin symmetry and pseudo-orbital angular momentum symmetry as a dynamical symmetries.

• OSTI ID: 21516821
• Journal Information: AIP Conference Proceedings, Vol. 1355, Issue 1; Conference: International symposium on new faces of atomic nuclei, Okinawa (Japan), 15-17 Nov 2010; Other Information: DOI: 10.1063/1.3584059; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
FORECASTING
HAMILTONIANS
HARMONIC OSCILLATORS
MEAN-FIELD THEORY
ORBITAL ANGULAR MOMENTUM
RELATIVISTIC RANGE
SHELL MODELS
SPIN
SYMMETRY
U-3 GROUPS
ANGULAR MOMENTUM
ENERGY RANGE
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PARTICLE PROPERTIES
QUANTUM OPERATORS
SYMMETRY GROUPS
U GROUPS