Pseudospin, Spin, and Coulomb Dirac-Symmetries: Doublet Structure and Supersymmetric Patterns

Abstract

Relativistic symmetries of the Dirac Hamiltonian with a mixture of spherically symmetric Lorentz scalar and vector potentials, are examined from the point of view of supersymmetric quantum mechanics. The cases considered include the Coulomb, pseudospin and spin limits relevant, respectively, to atoms, nuclei and hadrons.

8 pages, 1 figure, Proc. Int. Workshop on "Blueprints for the Nucleus: From First Principles to Collective Motion", May 17-23, 2004, Feza Gursey Institute, Istanbul, Turkey

References in corpus (4)

• Pseudo-spin as a Relativistic Symmetry
• Relativistic Symmetry Suppresses Quark Spin-Orbit Splitting
• On the Relativistic Foundations of Pseudospin Symmetry in Nuclei
• Consequences of a Relativistic Pseudospin Symmetry for Radial Nodes and Intruder Levels in Nuclei

Cited by in corpus (7)

• Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry
• Pseudospin, supersymmetry and the shell structure of atomic nuclei
• Generalized Spin and Pseudo-Spin Symmetry: Relativistic Extension of Supersymmetric Quantum Mechanics
• Relativistic Coulomb problem for Z larger than 137
• Supersymmetry and Nuclear Pairing
• Phenomenological study on the significance of the scalar potential and Lamb shift
• 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