Relativistic pseudospin symmetry and shell model Hamiltonians that conserve pseudospin symmetry

Conference · Tue Sep 21 04:00:00 EDT 2010

OSTI ID:1034407

Ginocchio, Joseph N ^[1]

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1. Los Alamos National Laboratory

Professor Akito Arima and his colleagues discovered 'pseudospin' doublets forty-one years ago in spherical nuclei. These doublets were subsequently discovered in deformed nuclei. We show that pseudospin symmetry is an SU(2) symmetry of the Dirac Hamiltonian which occurs when the scalar and vector potentials are opposite in sign but equal in magnitude. This symmetry occurs independent of the shape of the nucleus: spherical, axial deformed, triaxial, and gamma unstable. We survey some of the evidence that pseudospin symmetry is approximately conserved for a Dirac Hamiltonian with realistic scalar and vector potentials by examining the energy spectra, the lower components of the Dirac eigenfunctions, the magnetic dipole and Gamow-Teller transitions in nuclei, the upper components of the Dirac eigenfunctions, and nucleon-nucleus scattering. We shall also suggest that pseudospin symmetry may have a fundamental origin in chiral symmetry breaking by examining QCD sum rules. Finally we derive the shell model Hamiltonians which conserve pseudospin and show that they involve tensor interactions.

• Research Organization: Los Alamos National Laboratory (LANL)
• Sponsoring Organization: DOE
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 1034407
• Report Number(s): LA-UR-10-06379; LA-UR-10-6379
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHIRAL SYMMETRY
DEFORMED NUCLEI
EIGENFUNCTIONS
ENERGY SPECTRA
HAMILTONIANS
MAGNETIC DIPOLES
NUCLEI
ORIGIN
QUANTUM CHROMODYNAMICS
SCALARS
SCATTERING
SHAPE
SHELL MODELS
SUM RULES
SYMMETRY
VECTORS