New insight on pseudospin doublets in nuclei

Abstract

The relevance of the pseudospin symmetry in nuclei is considered. New insight is obtained from looking at the continuous transition from a model satisfying the spin symmetry to another one satisfying the pseudospin symmetry. This study suggests that there are models allowing no missing single-particle states in this transition, contrary to what is usually advocated. It rather points out to an association of pseudospin partners different from the one usually assumed, together with a strong violation of the corresponding symmetry. A comparison with results obtained from some relativistic approaches is made.

27 pages, 18 figures

References in corpus (8)

• Pseudospin symmetry and the relativistic harmonic oscillator
• Pseudospin symmetry and its approximation in real nuclei
• Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
• Pseudo-spin symmetry in density-dependent relativistic Hartree-Fock theory
• Consequences of a Relativistic Pseudospin Symmetry for Radial Nodes and Intruder Levels in Nuclei
• Test of Nuclear Wave Functions for Pseudospin Symmetry
• Pseudospin, supersymmetry and the shell structure of atomic nuclei
• Role of the Coulomb and the vector-isovector $\rho$ potentials in the isospin asymmetry of nuclear pseudospin

Cited by in corpus (3)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in single particle resonances in spherical square wells
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations