Origin of pseudospin symmetry

A. L. Blokhin, Louisiana State University
C. Bahri, Louisiana State University
J. P. Draayer, Louisiana State University

Abstract

A many-particle operator that affects a transformation to the pseudospin basis in heavy nuclei is identified. Both mean-field and many-particle estimates demonstrate that in the helicity-transformed representation the nucleons move in a finite-depth nonlocal potential with a reduced spin-orbit strength. Because of the close relation between the helicity and chirality operations, the results suggest that the pseudospin symmetry in heavy nuclei yields to the chiral symmetry of massless hadrons in the high energy region. © 1995 The American Physical Society.