2006
DOI: 10.1016/j.physletb.2006.05.065
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Pseudo-spin symmetry in density-dependent relativistic Hartree–Fock theory

Abstract: The pseudo-spin symmetry (PSS) is investigated in the density-dependent relativistic Hartree-Fock theory by taking the doubly magic nucleus 132 Sn as a representative. It is found that the Fock terms bring significant contributions to the pseudo-spin orbital potentials (PSOP) and make it comparable to the pseudo-centrifugal barrier (PCB). However, The pseudo-spin symmetry (PSS), quasi-degeneracy of two single particle states with the quantum numbers (n, l, j = l + 1/2) and (n = n − 1,l = l + 2,j = j = l + 3/2)… Show more

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Cited by 79 publications
(104 citation statements)
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References 29 publications
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“…The exchange terms further lead to contributions from the pion, which are absent in the mean-field (Hartree) treatment of an infinite, spin-saturated medium due to parity conservation. A density-dependent RHF approach has recently also been developed [188][189][190], and it can describe the properties of finite nuclei and nuclear matter comparable to those in standard RMF models. As an extension of the RMF model to include the quark degree of freedom, the quark-meson coupling (QMC) model, in which quarks in non-overlapping nucleon bags interact self-consistently with (structureless) isoscalar-scalar (σ) and isoscalar-vector (ω) mesons in the mean-field approximation, has been developed [191].…”
Section: The Phenomenological Approachmentioning
confidence: 99%
See 1 more Smart Citation
“…The exchange terms further lead to contributions from the pion, which are absent in the mean-field (Hartree) treatment of an infinite, spin-saturated medium due to parity conservation. A density-dependent RHF approach has recently also been developed [188][189][190], and it can describe the properties of finite nuclei and nuclear matter comparable to those in standard RMF models. As an extension of the RMF model to include the quark degree of freedom, the quark-meson coupling (QMC) model, in which quarks in non-overlapping nucleon bags interact self-consistently with (structureless) isoscalar-scalar (σ) and isoscalar-vector (ω) mesons in the mean-field approximation, has been developed [191].…”
Section: The Phenomenological Approachmentioning
confidence: 99%
“…Recently, there have been some developments in the density-dependent RHF approach [188][189][190] which can describe the properties of both finite nuclei and nuclear matter with results comparable to those from standard RMF models. A more phenomenological way to improve the results of RMF models is to introduce momentumas well as isospin-dependent form factors in the meson-nucleon coupling constants.…”
Section: Outlooksmentioning
confidence: 99%
“…In addition, the inclusion of Fock terms has brought substantial improvements in the self-consistent description of nuclear shell structures [24] and the evolutions [25,26], the relativistic symmetry restorations [24,27,28], and the low-energy excitation modes [29].…”
Section: Introductionmentioning
confidence: 99%
“…It is argued that they would be produced by including degrees of freedom beyond nucleons, e.g., hyperons, mesons, and quarks, or possibly produced by a better description of nucleonic interactions [11]. As a possible solution without exotic degrees of freedom, the relativistic mean-field (RMF) models is recalibrated with a soft behavior of the symmetry energy around saturation density [13,14].Compared to other CDF models, significant improvements have been obtained with DDRHF theory [10,15] in describing the relativistic symmetry conservation [15][16][17], the consistency of the isospin dependence in nuclear arXiv:1109.5428v2 [nucl-th] …”
mentioning
confidence: 99%
“…Compared to other CDF models, significant improvements have been obtained with DDRHF theory [10,15] in describing the relativistic symmetry conservation [15][16][17], the consistency of the isospin dependence in nuclear arXiv:1109.5428v2 [nucl-th]…”
mentioning
confidence: 99%