Symmetries and Supersymmetries of the Dirac Hamiltonian with Axially-Deformed Scalar and Vector Potentials

Abstract

We consider several classes of symmetries of the Dirac Hamiltonian in 3+1 dimensions, with axially-deformed scalar and vector potentials. The symmetries include the known pseudospin and spin limits and additional symmetries which occur when the potentials depend on different variables. Supersymmetries are observed within each class and the corresponding charges are identified.

arXiv comment4 pages, 2 figures, Phys. Rev. Lett. in press

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Cited by in corpus (16)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in single particle resonant states
• Pseudospin symmetry in single particle resonances in spherical square wells
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Exploration of relativistic symmetry by the similarity renormalization group
• Pseudospin symmetry in supersymmetric quantum mechanics: II. Spin-orbit effects
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Further investigation of the relativistic symmetry by similarity renormalization group
• Resonant states and pseudospin symmetry in the Dirac Morse potential
• Conservation and breaking of pseudospin symmetry
• Uniform descriptions of pseudospin symmetries in bound and resonant states
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Deformed Pseudospin Doublets as a Fingerprint of a Relativistic Supersymmetry in Nuclei
• Re-study on the contribution of scalar potential and spectra of $c\bar{c}$, $b\bar{b}$ and $b\bar{c}(\bar{b}c)$ families
• Pseudospin symmetry: Recent progress with supersymmetric quantum mechanics
• Phenomenological study on the significance of the scalar potential and Lamb shift