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}{sub {ital l}{ital l}}) and spin-orbit ({nu}{sub {ital l}{ital s}}) interaction strengths in the ratio {mu}{ital ieq}2{nu}{sub {ital l}{ital l}}/{nu}{sub {ital l}{ital s}}=0.5, are considered. Specifically, the {nu}{sub {ital l}{ital s}}{approx}4{nu}{sub {ital l}{ital 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.