Relativistic Hartree-Fock approximation in a nonlinear model for nuclear matter and finite nuclei

Bernardos, P.; Fomenko, V. N.; Giai, Nguyen Van; Quelle, M. L.; Marcos, S.; Niembro, R.; Savushkin, L. N.

doi:10.1103/physrevc.48.2665

Cited by 76 publications

(139 citation statements)

References 23 publications

Supporting

Mentioning

135

Contrasting

Unclassified

Order By: Relevance

“…Within the RHF approach, some efforts have been devoted to considering the in-medium effects by introducing non-linear self couplings of the σ and ω fields [15] or cubic and quadratic terms of the scalar field (ψψ) [16]. Instead of the non-linear self couplings, here we assume a density dependence of the meson-nucleon couplings [40,41,42] as we did before [17,19], which looks more coincident with the model Lagrangian.…”

Section: A Energy Functional and Relativisticmentioning

confidence: 99%

“…Within the RMF framework, valuable information has been obtained for the structure of the nuclei in and far from the valley of β-stability, including both for ground states [3,4,7] and excited states [6,8]. At the same time, considerable effort has been devoted to relativistic Hartree-Fock (RHF) theory [9,10,11,12,13,14,15,16]. However, because of its numerical complexity, for a long time, it failed in a quantitative description of nuclear systems.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

et al. 2010

Self Cite

View full text Add to dashboard Cite

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the complete set of eigen-solutions of the Dirac equations with Woods-Saxon potentials. Using the finite-range Gogny force D1S as an effective interaction in the pairing channel, systematic RHFB calculations are performed for Sn isotopes and N = 82 isotones. It is demonstrated that an appropriate description of both mean field and pairing effects can be obtained within RHFB theory with finite range Gogny pairing forces. Better systematics are also found in the regions from the stable to the neutron-rich side with the inclusion of Fock terms, especially in the presence of ρ-tensor couplings.

show abstract

Section: A Energy Functional and Relativisticmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2010

Self Cite

View full text Add to dashboard Cite

show abstract

“…In adjusting the parameters of the effective Lagrangian, a large part of vacuum polarization effects and effects of exchange terms are already taken into account. In fact, both contributions have been treated explicitly in nuclear matter and in some finite spherical nuclei [5][6][7][8][9], and it has been shown that these contributions are not small. However, by renormalizing the parameters of the effective Lagrangian, virtually identical results for ground-state properties have been obtained without the inclusion of vacuum polarization and exchange terms.…”

Section: Introductionmentioning

confidence: 99%

The time-dependent relativistic mean-field theory and the random phase approximation

et al. 2001

View full text Add to dashboard Cite

The Relativistic Random Phase Approximation (RRPA) is derived from the Time-dependent Relativistic Mean Field (TD RMF) theory in the limit of small amplitude oscillations. In the no-sea approximation of the RMF theory, the RRPA configuration space includes not only the ususal particle-hole ph-states, but also αh-configurations, i.e. pairs formed from occupied states in the Fermi sea and empty negative-energy states in the Dirac sea. The contribution of the negative energy states to the RRPA matrices is examined in a schematic model, and the large effect of Dirac sea states on isoscalar strength distributions is illustrated for the giant monopole resonance in 116 Sn. It is shown that, because the matrix elements of the time-like component of the vector meson fields which couple the αh-configurations with the phconfigurations are strongly reduced with respect to the corresponding matrix elements of the isoscalar scalar meson field, the inclusion of states with unperturbed energies more than 1.2 GeV below the Fermi energy has a pronounced effect on giant resonances with excitation energies in the MeV region. The influence of nuclear magnetism, i.e. the effect of the spatial components of the vector fields is examined, and the difference between the non-relativistic and relativistic RPA predictions for the nuclear matter compression modulus is explained.

show abstract

“…Then we can conclude that even when we are dealing with a simple twobody model that has only central terms, we have the dominant aspect of the correct physics. This physics is in fact embedded in the relativistic form of the potential, with scalar and vector parts, because, in the medium, many pieces of the interaction are averaged out, while the remaining part is largely dominated by the scalar and the vector central potentials [22].…”

Section: Discussionmentioning

confidence: 99%

The Coester line in relativistic mean field nuclear matter

Delfino¹,

Malheiro²,

Timóteo³

et al. 2005

Braz. J. Phys.

View full text Add to dashboard Cite

The Walecka model contains essentially two parameters that are associated with the Lorentz scalar (S) and vector (V ) interactions. These parameters are related to a two-body interaction consisting of S and V , imposing the condition that the two-body binding energy is fixed. We have obtained a set of different values for the nuclear matter binding energies (BN ) at equilibrium densities (ρo). We investigated the existence of a linear correlation between B N and ρ o , claimed to be universal for nonrelativistic systems and usually known as the Coester line, and found an approximate linear correlation only if V − S remains constant. It is shown that the relativistic content of the model, which is related to the strength of V − S , is responsible for the shift of the Coester line to the empirical region of nuclear matter saturation.

show abstract

Relativistic Hartree-Fock approximation in a nonlinear model for nuclear matter and finite nuclei

Cited by 76 publications

References 23 publications

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

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

The time-dependent relativistic mean-field theory and the random phase approximation

The Coester line in relativistic mean field nuclear matter

Contact Info

Product

Resources

About