Consequences of a Relativistic Pseudospin Symmetry for Radial Nodes and Intruder Levels in Nuclei

Abstract

The identification of pseudospin symmetry as a relativistic symmetry of the Dirac Hamiltonian is used to explain the structure of radial nodes occurring in pseudospin doublets and to illuminate the special status of nodeless intruder states in nuclei.

15 pages, 1 figure

References in corpus (1)

• Test of Nuclear Wave Functions for Pseudospin Symmetry

Cited by in corpus (27)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Spin symmetry in the anti-nucleon spectrum
• Pseudospin symmetry and the relativistic harmonic oscillator
• Relativistic Harmonic Oscillator with Spin Symmetry
• Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
• Test of Pseudospin Symmetry in Deformed Nuclei
• Perturbative interpretation of relativistic symmetries in nuclei
• Pseudospin symmetry in single particle resonances in spherical square wells
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
• Isospin dependence of pseudospin symmetry in nuclear resonant states
• Spin and pseudospin symmetries of the Dirac equation with confining central potentials
• Spin and Pseudospin symmetries in the Dirac equation with central Coulomb potentials
• Spin Symmetry for Anti-Lambda Spectrum in atomic nucleus
• Relativistic Killingbeck Energy States Under an External Magnetic Fields
• 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
• Nuclear Wave Functions for Spin and Pseudospin Partners
• Relativistic U(3) Symmetry and Pseudo-U(3) Symmetry of the Dirac Hamiltonian
• Pseudospin, Spin, and Coulomb Dirac-Symmetries: Doublet Structure and Supersymmetric Patterns
• Nodal theorems for the Dirac equation in d >= 1 dimensions
• Probing spin and pseudospin symmetries in deformed nuclei by the Green's function method
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Approximate Analytical Solutions of the Pseudospin Symmetric Dirac Equation for Exponential-type Potentials
• New insight on pseudospin doublets in nuclei
• Deformed Pseudospin Doublets as a Fingerprint of a Relativistic Supersymmetry in Nuclei