Covariant density functional theory: The role of the pion

Lalazissis, G. A.; Karatzikos, S.; Serra, Milena; Otsuka, T.; Ring, P.

doi:10.1103/physrevc.80.041301

Cited by 46 publications

(74 citation statements)

References 38 publications

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“…Therefore, the inclusion of the single-particle information into the fitting protocols of CEDF's is at the moment at its infancy [48,51]. A reasonable procedure needs first a satisfying description of low-lying collective states in nuclei and their coupling to the single-particle states.…”

Section: Discussionmentioning

confidence: 99%

“…This is definitely difficult, in particular in deformed nuclei, but it also includes a problem of self-consistency because the low-lying vibrations depend on the single-particle structure in the neighborhood of the Fermi level [52]. In any case, such an approach requires a systematic and comparative study of the influence of tensor forces [51] and particle-vibrational coupling [52]. Therefore, as illustrated, for example, in Skyrme DFT [53,54] there is a limit of accuracy for the description of single particle energies which can be achieved at the DFT level.…”

Section: Discussionmentioning

confidence: 99%

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Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties

et al. 2015

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The sources of theoretical uncertainties in the prediction of the two-neutron drip line are analyzed in the framework of covariant density functional theory. We concentrate on single-particle and pairing properties as potential sources of these uncertainties. The major source of these uncertainties can be traced back to the differences in the underlying single-particle structure of the various covariant energy density functionals (CEDF). It is found that the uncertainties in the description of single-particle energies at the two-neutron drip line are dominated by those existing already in known nuclei. Only approximately one third of these uncertainties are due to the uncertainties in the isovector channel of CEDF's. Thus, improving the CEDF description of single-particle energies in known nuclei will also reduce the uncertainties in the prediction of the position of two-neutron drip line. The predictions of pairing properties in neutron rich nuclei depend on the CEDF. Although pairing properties affect moderately the position of the two-neutron drip line they represent only a secondary source for the uncertainties in the definition of the position of the two-neutron drip line.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties

et al. 2015

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“…[59], the role of the pion in covariant density functional theory was studied. Starting from conventional relativistic mean field (RMF) theory with a nonlinear coupling of the σ meson and without exchange terms, the pion−N coupling with a pseudovector type in relativistic Hartree-Fock approximation is added.…”

Section: Rhf and Single-particle Statesmentioning

confidence: 99%

“…The authors of Ref. [59] have started from conventional RMF and extended it by including pion coupling in the RHF framework. They also point out that the pion tensor is important for single-particle states but the fit of masses would instead "prefer" not to have the pion-coupling included.…”

Section: Massesmentioning

confidence: 99%

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Sagawa

Colò

2014

Progress in Particle and Nuclear Physics

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The importance of the tensor force for nuclear structure has been recognized long ago. Recently, the interest for this topic has been revived by the study of the evolution of nuclear properties far from the stability line. However, in the context of the effective theories that describe medium-heavy nuclei, the role of the tensor force is still debated. This review focuses on ground-state properties like masses and deformation, on single-particle states, and on excited vibrational and rotational modes. The goal is to assess which properties, if any, can bring clear signatures of the tensor force within the mean-field or density functional theory framework. It will be concluded that, while evidences for a clear neutron-proton tensor force exist despite quantitative uncertainties, the role of the tensor force among equal particles is less well established.

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“…In Refs. [20,23], the con- * whlong@pku.org.cn sistency of the evolution of the shell structure has been considerably improved by the pion exchange potential, in fact, by its tensor part. With the inclusion of ρ-tensor couplings, the common disease of several artificial shell closures existing in the RMF calculations [24], has been cured in DDRHF theory and the pseudo-spin symmetry is also better preserved [19].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2010

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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.

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Covariant density functional theory: The role of the pion

Cited by 46 publications

References 38 publications

Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties

Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

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

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