Pseudospin symmetry in nuclear physics

The origin and consequences of pseudospin symmetry in nuclear physics, which is exact for an oscillator potential with one-body orbit-orbit (${\nu }_{\mathit{l}\mathit{l}}$) and spin-orbit (${\nu }_{\mathit{l}\mathit{s}}$) interaction strengths in the ratio μieq2${\nu }_{\mathit{l}\mathit{l}}$/${\nu }_{\mathit{l}\mathit{s}}$=0.5, are considered. Specifically, the ${\nu }_{\mathit{l}\mathit{s}}$≊4${\nu }_{\mathit{l}\mathit{l}}$ condition is consistent with relativistic mean-field results and a pseudo LS coupling scheme. When deformation dominates, pseudospin extends to pseudo SU(3), which is applicable to superdeformation.