Relativistic Hartree-Fock-Bogoliubov theory with density dependent meson-nucleon couplings

Long, Wen Hui; Ring, P.; Giai, Nguyen Van; Meng, J.

doi:10.1103/physrevc.81.024308

Cited by 110 publications

(90 citation statements)

References 53 publications

(131 reference statements)

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“…Allowing independent parameters for the ρ and the δ mesons leads to redundancies in the fit. For the same reasons modern relativistic Hartree-Fock [48][49][50] and HartreeFock-Bogoliubov [51] calculations also neglect the δ meson in the Lagrangian and, as a consequence, in the direct term. Of course, the Fock term of these calculations also contains contributions to the scalar isovector channel.…”

Section: Introductionmentioning

confidence: 99%

Relativistic mean-field interaction with density-dependent meson-nucleon vertices based on microscopical calculations

et al. 2011

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Although ab initio calculations of relativistic Brueckner theory lead to large scalar isovector fields in nuclear matter, at present, successful versions of covariant density functional theory neglect the interactions in this channel. A new high-precision density functional DD-MEδ is presented which includes four mesons, σ , ω, δ, and ρ, with density-dependent meson-nucleon couplings. It is based to a large extent on microscopic ab initio calculations in nuclear matter. Only four of its parameters are determined by adjusting to binding energies and charge radii of finite nuclei. The other parameters, in particular the density dependence of the meson-nucleon vertices, are adjusted to nonrelativistic and relativistic Brueckner calculations of symmetric and asymmetric nuclear matter. The isovector effective mass m * p − m * n derived from relativistic Brueckner theory is used to determine the coupling strength of the δ meson and its density dependence.

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Section: Introductionmentioning

confidence: 99%

Relativistic mean-field interaction with density-dependent meson-nucleon vertices based on microscopical calculations

et al. 2011

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“…For the Dirac equation, there exist not only the positive-energy states in the Fermi sea but also the negative-energy states in the Dirac sea, where the negative-energy states correspond to the anti-particle states. When the solutions of the Dirac equation are used as a complete basis, e.g., the Dirac Woods-Saxon basis [187], the states with both positive and negative energies must be included [184,[187][188][189][190][191][192][193][194].…”

Section: Introductionmentioning

confidence: 99%

“…Self-consistently, the pseudospin symmetry in spherical [45,73,79,[166][167][168][169][170][171][172][173][174][175][176][177] and deformed [77,78,81,82,[178][179][180] nuclei have been investigated within relativistic mean-field and relativistic Hartree-Fock (RHF) [181][182][183][184] theories. One of interesting topics is the tensor effects on the pseudospin symmetry or spin symmetry, which has been investigated in some of the above-mentioned works [45,53,89,92,173] and also in Refs.…”

Section: Introductionmentioning

confidence: 99%

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

2015

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Symmetry plays a fundamental role in physics. The quasi-degeneracy between single-particle orbitals $(n, l, j = l + 1/2)$ and $(n-1, l + 2, j = l + 3/2)$ indicates a hidden symmetry in atomic nuclei, the so-called pseudospin symmetry (PSS). Since the introduction of the concept of PSS in atomic nuclei, there have been comprehensive efforts to understand its origin. Both splittings of spin doublets and pseudospin doublets play critical roles in the evolution of magic numbers in exotic nuclei discovered by modern spectroscopic studies with radioactive ion beam facilities. Since the PSS was recognized as a relativistic symmetry in 1990s, many special features, including the spin symmetry (SS) for anti-nucleon, and many new concepts have been introduced. In the present Review, we focus on the recent progress on the PSS and SS in various systems and potentials, including extensions of the PSS study from stable to exotic nuclei, from non-confining to confining potentials, from local to non-local potentials, from central to tensor potentials, from bound to resonant states, from nucleon to anti-nucleon spectra, from nucleon to hyperon spectra, and from spherical to deformed nuclei. Open issues in this field are also discussed in detail, including the perturbative nature, the supersymmetric representation with similarity renormalization group, and the puzzle of intruder states.Comment: Review Article, 242 pages, 58 figures, 10 table

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“…In addition, an entirely new parameter set for the couplings has to be determined. Nevertheless, relativistic Hartree-Fock or Hartree-FockBogoliubov models were implemented (Long, Van Giai, and Meng, 2006;Long et al, 2007Long et al, , 2010.…”

Section: ¼T þV ð14þmentioning

confidence: 99%

Equations of state for supernovae and compact stars

et al. 2017

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A review is given of various theoretical approaches for the equation of state (EoS) of dense matter, relevant for the description of core-collapse supernovae, compact stars, and compact star mergers. The emphasis is put on models that are applicable to all of these scenarios. Such EoS models have to cover large ranges in baryon number density, temperature, and isospin asymmetry. The characteristics of matter change dramatically within these ranges, from a mixture of nucleons, nuclei, and electrons to uniform, strongly interacting matter containing nucleons, and possibly other particles such as hyperons or quarks. As the development of an EoS requires joint efforts from many directions, different theoretical approaches are considered and relevant experimental and observational constraints which provide insights for future research are discussed. Finally, results from applications of the discussed EoS models are summarized.

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Relativistic Hartree-Fock-Bogoliubov theory with density dependent meson-nucleon couplings

Cited by 110 publications

References 53 publications

Relativistic mean-field interaction with density-dependent meson-nucleon vertices based on microscopical calculations

Relativistic mean-field interaction with density-dependent meson-nucleon vertices based on microscopical calculations

Hidden pseudospin and spin symmetries and their origins in atomic nuclei

Equations of state for supernovae and compact stars

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