Implications of Pseudospin Symmetry on Relativistic Magnetic Properties and Gamow - Teller Transitions in Nuclei

Abstract

Recently it has been shown that pseudospin symmetry has its origins in a relativistic symmetry of the Dirac Hamiltonian. Using this symmetry we relate single - nucleon relativistic magnetic moments of states in a pseudospin doublet to the relativistic magnetic dipole transitions between the states in the doublet, and we relate single - nucleon relativistic Gamow - Teller transitions within states in the doublet. We apply these relationships to the Gamow - Teller transitions from ${}^{39}Ca$ to its mirror nucleus ${}^{39}K$.

17 pages, 2 figures, to be published in PRC. Slightly revised text with one reference added

References in corpus (3)

• On the Relativistic Foundations of Pseudospin Symmetry in Nuclei
• Pseudo-spin Symmetry and Relativistic Single-nucleon Wave Functions
• Relativistic Mean Field Approach and the Pseudo-Spin Symmetry

Cited by in corpus (15)

• Magnetic dipole excitations in nuclei: elementary modes of nucleonic motion
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in single particle resonances in spherical square wells
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Consequences of a Relativistic Pseudospin Symmetry for Radial Nodes and Intruder Levels in Nuclei
• The Resurrection of a Symmetry in Nucleon - Nucleus Scattering
• Coexistence of chiral symmetry and pseudospin symmetry in one nucleus: triplet bands in ${}^{105}$Ag
• Nuclear Wave Functions for Spin and Pseudospin Partners
• Conservation and breaking of pseudospin symmetry
• Could the static properties of nuclei be deduced from the dynamics of a single quark?
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Uniform descriptions of pseudospin symmetries in bound and resonant states
• New insight on pseudospin doublets in nuclei
• Pseudospin Dynamical Symetry in Nuclei
• Relativistic Pseudospin Symmetry in Nuclei