The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line

Abstract

Based on the Relativistic continuum Hartree-Bogoliubov (RCHB) theory, the pseudo-spin approximation in exotic nuclei is investigated in Zr and Sn isotopes from the proton drip line to the neutron drip line. The quality of the pseudo-spin approximation is shown to be connected with the competition between the centrifugal barrier (CB) and the pseudo-spin orbital potential (PSOP). The PSOP depends on the derivative of the difference between the scalar and vector potentials $dV/dr$. If $dV/dr=0$, the pseudo-spin symmetry is exact. The pseudo-spin symmetry is found to be a good approximation for normal nuclei and to become much better for exotic nuclei with highly diffuse potential, which have $dV/dr\sim 0$. The energy splitting of the pseudo-spin partners is smaller for orbitals near the Fermi surface (even in the continuum) than the deeply bound orbitals. The lower components of the Dirac wave functions for the pseudo-spin partners are very similar and almost equal in magnitude.

22 pages, 9figures

References in corpus (3)

• On the Relativistic Foundations of Pseudospin Symmetry in Nuclei
• Pseudo-spin Symmetry and Relativistic Single-nucleon Wave Functions
• The proton and neutron distribution in Na isotopes: the development of halo and shell structure

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