633 citations · 2k across the 26 of their papers we have counts for
26 papers
Pseudospin Dynamical Symetry in Nuclei
Joseph N Ginocchio
Pseudospin symmetry has been useful in understanding atomic nuclei. We review the arguments that this symmetry is a relativistic symmetry. The condition for this symmetry is that t…
Relativistic U(3) Symmetry and Pseudo-U(3) Symmetry of the Dirac Hamiltonian
Joseph N Ginocchio
The Dirac Hamiltonian with relativistic scalar and vector harmonic oscillator potentials has been solved analytically in two limits. One is the spin limit for which spin is an inva…
Pseudospin Conserving Shell Model Interactions
Joseph N. Ginocchio
Pseudospin symmetry is approximately conserved in nuclei. Normally shell model interactions are written in terms of spin an orbital angular momentum operators, not in terms of pseu…
U(3) and Pseudo-U(3) Symmetry of the Relativistic Harmonic Oscillator
Joseph N. Ginocchio
We show that a Dirac Hamiltonian with equal scalar and vector harmonic oscillator potentials has not only a spin symmetry but an U(3) symmetry and that a Dirac Hamiltonian with sca…
Relativistic Harmonic Oscillator with Spin Symmetry
Joseph N. Ginocchio
The eigenfunctions and eigenenergies for a Dirac Hamiltonian with equal scalar and vector harmonic oscillator potentials are derived. Equal scalar and vector potentials may be appl…
Test of Pseudospin Symmetry in Deformed Nuclei
J. N. Ginocchio, A. Leviatan, J. Meng +1
Pseudospin symmetry is a relativistic symmetry of the Dirac Hamiltonian with scalar and vector mean fields equal and opposite in sign. This symmetry imposes constraints on the Dira…