Resonant states and pseudospin symmetry in the Dirac Morse potential

Abstract

The complex scaling method is applied to study the resonances of a Dirac particle in a Morse potential. The applicability of the method is demonstrated with the results compared with the available data. It is shown that the present calculations in the nonrelativistic limit are in excellent agreement with the nonrelativistic calculations. Further, the dependence of the resonant parameters on the shape of the potential is checked, and the unusual sensitivity to the potential parameters is revealed. By comparing the energies and widths of the pseudospin doublets, well pseudospin symmetry is discovered in the present model. The relationship between the pseudospin symmetry and the shape of the potential is investigated by changing the Morse potential shaped by the dissociation energy, the equilibrium intermolecular distance, and the positive number controlling the decay length of the potential.

Some literatures on the pseudospin symmetry are supplied and the paper will be published in Physical review A

References in corpus (20)

• Pseudospin symmetry in single particle resonant states
• Nuclear halo structure and pseudo-spin symmetry
• Analytical solutions of the Bohr Hamiltonian with the Morse potential
• Real stabilization method for nuclear single particle resonances
• Perturbative interpretation of relativistic symmetries in nuclei
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Exploration of relativistic symmetry by the similarity renormalization group
• Isospin dependence of pseudospin symmetry in nuclear resonant states
• Electric quadrupole transitions of the Bohr Hamiltonian with the Morse potential
• Spin and pseudospin symmetries of the Dirac equation with confining central potentials
• Relativistic extension of the complex scaling method
• Spin and Pseudospin symmetries in the Dirac equation with central Coulomb potentials
• Resonant states of deformed nuclei in complex scaling method
• Relating pseudospin and spin symmetries through chiral transformation with tensor interaction
• Relativistic effect of spin and pseudospin symmetries
• Symmetries and Supersymmetries of the Dirac Hamiltonian with Axially-Deformed Scalar and Vector Potentials
• Five-body resonances of 8C using the complex scaling method
• Further investigation of the relativistic symmetry by similarity renormalization group
• The rotating Morse potential model for diatomic molecules in the J-matrix representation: II. The S-matrix approach
• Relativistic U(3) Symmetry and Pseudo-U(3) Symmetry of the Dirac Hamiltonian

Cited by in corpus (9)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in single particle resonances in spherical square wells
• Scattering and bound states of Dirac Equation in presence of cosmic string for Hulthén potential
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• An Investigation of the Bound State Solutions of the Klein-Gordon Equation for the Generalized Woods-Saxon Potential in Spin Symmetry and Pseudo-spin Symmetry Limits
• Possible hadronic molecular states composed of $S$-wave heavy-light mesons
• Probing spin and pseudospin symmetries in deformed nuclei by the Green's function method
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Recent progresses on the pseudospin symmetry in single particle resonant states