dorsal/arxiv
View SchemaThe 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 |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9808026 |
| URL | https://arxiv.org/abs/nucl-th/9808026 |
| DOI | 10.1103/PhysRevC.59.154 |
| Journal | Phys.Rev.C59:154-163,1999 |
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.
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"abstract": "Based on the Relativistic continuum Hartree-Bogoliubov (RCHB) theory, the\npseudo-spin approximation in exotic nuclei is investigated in Zr and Sn\nisotopes from the proton drip line to the neutron drip line. The quality of the\npseudo-spin approximation is shown to be connected with the competition between\nthe centrifugal barrier (CB) and the pseudo-spin orbital potential (PSOP). The\nPSOP depends on the derivative of the difference between the scalar and vector\npotentials $dV/dr$. If $dV/dr = 0$, the pseudo-spin symmetry is exact. The\npseudo-spin symmetry is found to be a good approximation for normal nuclei and\nto become much better for exotic nuclei with highly diffuse potential, which\nhave $dV/dr \\sim 0$. The energy splitting of the pseudo-spin partners is\nsmaller for orbitals near the Fermi surface (even in the continuum) than the\ndeeply bound orbitals. The lower components of the Dirac wave functions for the\npseudo-spin partners are very similar and almost equal in magnitude.",
"arxiv_id": "nucl-th/9808026",
"authors": [
"J. Meng",
"K. Sugawara-Tanabe",
"S. Yamaji",
"A. Arima"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.59.154",
"journal_ref": "Phys.Rev.C59:154-163,1999",
"title": "The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line",
"url": "https://arxiv.org/abs/nucl-th/9808026"
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