Relativistic Mean Field Approach and the Pseudo-Spin Symmetry

Abstract

Based on the Relativistic Mean Field (RMF) approach the existence of the broken pseudo-spin symmetry is investigated. Both spherical RMF and constrained deformed RMF calculations are carried out employing realistic Lagrangian parameters for spherical and for deformed sample nuclei. The quasi - degenerate pseudo-spin doublets are confirmed to exist near the fermi surface for both spherical and deformed nuclei.

arXiv comment9 pages RevTex, 4 p.s figures, to appear in Phys. Rev. C as R.C

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Cited by in corpus (29)

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• The Isospin Asymmetry in the Pseudo-spin Dynamical Symmetry
• Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
• Test of Pseudospin Symmetry in Deformed Nuclei
• Pseudospin symmetry in single particle resonances in spherical square wells
• Consequences of a Relativistic Pseudospin Symmetry for Radial Nodes and Intruder Levels in Nuclei
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Exploration of relativistic symmetry by the similarity renormalization group
• Test of Nuclear Wave Functions for Pseudospin Symmetry
• Isospin dependence of pseudospin symmetry in nuclear resonant states
• The Resurrection of a Symmetry in Nucleon - Nucleus Scattering
• Implications of Pseudospin Symmetry on Relativistic Magnetic Properties and Gamow - Teller Transitions in Nuclei
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Relevance of pseudospin symmetry in proton-nucleus scattering
• Solutions of the Dirac equation with the shifted Deng-Fan potential including Yukawa-like tensor interaction
• Nuclear ground-state properties probed by the relativistic Hartree-Bogoliubov approach
• Conservation and breaking of pseudospin symmetry
• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Stationary states of fermions in a sign potential with a mixed vector-scalar coupling
• Probing spin and pseudospin symmetries in deformed nuclei by the Green's function method
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Uniform descriptions of pseudospin symmetries in bound and resonant states
• Deformed Pseudospin Doublets as a Fingerprint of a Relativistic Supersymmetry in Nuclei
• Recent progresses on the pseudospin symmetry in single particle resonant states
• Bound State Solutions of the Dirac-Shifted Tietz-Wei Potential Plus a Generalized Ring-Shaped Potential with Spin and Pseudospin symmetry
• Fermions embedded in a scalar-vector kink-like smooth potential
• Relativistic Pseudospin Symmetry and the Structure of Nuclear States