{ "id": "nucl-th/9808026", "version": "v1", "published": "1998-08-11T07:35:03.000Z", "updated": "1998-08-11T07:35:03.000Z", "title": "The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line", "authors": [ "J. Meng", "K. Sugawara-Tanabe", "S. Yamaji", "A. Arima" ], "comment": "22 pages, 9figures", "journal": "Phys.Rev.C59:154-163,1999", "doi": "10.1103/PhysRevC.59.154", "categories": [ "nucl-th" ], "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.", "revisions": [ { "version": "v1", "updated": "1998-08-11T07:35:03.000Z" } ], "analyses": { "keywords": [ "neutron drip line", "proton drip line", "pseudo-spin symmetry", "sn isotopes", "pseudo-spin partners" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. C" }, "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "inspire": 474700 } } }