Conservation and breaking of pseudospin symmetry
arXiv:2309.09266 · doi:10.1016/j.physletb.2023.138320
Abstract
Pseudospin symmetry (PSS) is a relativistic dynamical symmetry connected with the lower component of the Dirac spinor. Here, we investigate the conservation and breaking of PSS in the single-nucleon resonant states, as an example, using Green's function method that provides a novel way to precisely describe not only the resonant energies and widths but also the spacial density distributions for both narrow and wide resonances. The PSS restoration and breaking are perfectly displayed in the evolution of resonant parameters and density distributions with the potential depth: In the PSS limit, i.e., when the attractive scalar and repulsive vector potentials have the same magnitude but opposite sign, PSS is exactly conserved with strictly the same energy and width between the PS partners as well as identical density distributions of the lower components. As the potential depth increases, the PSS is broken gradually with energy and width splittings and a phase shift in the density distributions.
arXiv comment5 pages, 4 figures
References in corpus (21)
- 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
- 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