Pseudo-spin symmetry in density-dependent relativistic Hartree-Fock theory

Abstract

The pseudo-spin symmetry (PSS) is investigated in the density-dependent relativistic Hartree-Fock theory by taking {the} doubly magic nucleus ${}^{132}$Sn as a representative. It is found that the Fock terms bring significant contributions to the pseudo-spin orbital potentials (PSOP) and make it comparable to the pseudo-centrifugal barrier (PCB). However, these Fock terms in the PSOP are counteracted by other exchange terms due to the non-locality of the exchange potentials. The pseudo-spin orbital splitting indicates that the PSS is preserved well for the partner states $\text{lrb}\nu 3s_{1/2},\nu 2d_{3/2}$ of ${}^{132}$Sn in the relativistic Hartree-Fock theory.

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