Uniform descriptions of pseudospin symmetries in bound and resonant states

Abstract

As a continuation of our previous work on the conservation and breaking of the pseudospin symmetry (PSS) in resonant states [Phys. Lett. B 847, 138320 (2023)}], in this work, the PSS in nuclear single-particle bound and resonant states are investigated uniformly within a relativistic framework by exploring the poles of the Green's function in spherical Woods-Saxon potentials. As the potential depths increase from zero to finite depths, the PS partners evolve from resonant states to bound states. In this progress,the PSS is broken gradually with energy, width, and density splittings. Specially, the energy and width splittings for the resonant and bound states are directly determined by the ratio of the pseudo spin-orbit potentials between the PS partners. Obvious threshold effect is observed for the energy splitting at a critical potential depth, with which the PS partners locate between the centrifugal barriers of PS partners. The differences in the density distributions of the lower component between the PS partners are manifested in the phase shift for the resonant states and amplitudes for bound states. Besides, the evolution of the phase shift as the potential depth is consistent with those for the width splitting.

arXiv comment7 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:2309.09266

References in corpus (22)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Pseudo-spin as a Relativistic Symmetry
• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line
• Relativistic Hartree-Bogoliubov theory with finite range pairing forces in coordinate space: Neutron halo in light nuclei
• Pseudo-spin Symmetry and Relativistic Single-nucleon Wave Functions
• Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
• Relativistic Mean Field Approach and the Pseudo-Spin Symmetry
• Antibaryons bound in nuclei
• Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
• Spin and pseudospin symmetries in the antinucleon spectrum of nuclei
• Isospin dependence of pseudospin symmetry in nuclear resonant states
• Pseudospin symmetry in supersymmetric quantum mechanics: II. Spin-orbit effects
• The Resurrection of a Symmetry in Nucleon - Nucleus Scattering
• Implications of Pseudospin Symmetry on Relativistic Magnetic Properties and Gamow - Teller Transitions in Nuclei
• Symmetries and Supersymmetries of the Dirac Hamiltonian with Axially-Deformed Scalar and Vector Potentials
• Relevance of pseudospin symmetry in proton-nucleus scattering
• Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator
• Searching for single-particle resonances with the Green's function method
• Conservation and breaking of pseudospin symmetry
• Approximate analytical solutions of Dirac Equation with spin and pseudo spin symmetries for the diatomic molecular potentials plus a tensor term with any angular momentum