A Relativistic Symmetry in Nuclei: Its origins and consequences
Abstract
We review the status of quasi-degenerate doublets in nuclei, called pseudospin doublets, which were discovered about thirty years ago and the origins of which have remained a mystery, until recently. We show that pseudospin doublets originate from an SU(2) symmetry of the Dirac Hamiltonian which occurs when the sum of the scalar and vector potentials is a constant. Furthermore, we survey the evidence that pseudospin symmetry is approximately conserved in nuclear spectra and eigenfunctions and in nucleon-nucleus scattering for a Dirac Hamiltonian with realistic nuclear scalar and vector potentials.
Keywords
Cite
@article{arxiv.nucl-th/0012078,
title = {A Relativistic Symmetry in Nuclei: Its origins and consequences},
author = {Joseph N. Ginocchio},
journal= {arXiv preprint arXiv:nucl-th/0012078},
year = {2009}
}
Comments
Invited Talk for "Nuclei and Nucleons", Darmstadt, Germany, Oct. 11-13,2000; International Symposium on the occasion of Achim Richter's 60th Birthday