Effective Dirac Brueckner-Hartree-Fock method for asymmetric nuclear matter and finite nuclei

Ma, Zhong‐Qi; Liu, Ling

doi:10.1103/physrevc.66.024321

Cited by 32 publications

(24 citation statements)

References 26 publications

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“…This lead to an effective density-dependent interaction which is used to study finite nuclei. However, because of the uncertainties of RBHF theory in nuclear matter mentioned above, the mapping from nuclear matter to finite nuclei is far from unique [111,181,182,187,[193][194][195][196][197][198][199].…”

Section: Relativistic Brueckner-hartree-fock Theorymentioning

confidence: 99%

Towards an ab initio covariant density functional theory for nuclear structure

Shen

Liang

Long

et al. 2019

Progress in Particle and Nuclear Physics

106

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Nuclear structure models built from phenomenological mean fields, the effective nucleon-nucleon interactions (or Lagrangians), and the realistic bare nucleon-nucleon interactions are reviewed. The success of covariant density functional theory (CDFT) to describe nuclear properties and its influence on Brueckner theory within the relativistic framework are focused upon. The challenges and ambiguities of predictions for unstable nuclei without data or for high-density nuclear matter, arising from relativistic density functionals, are discussed. The basic ideas in building an ab initio relativistic density functional for nuclear structure from ab initio calculations with realistic nucleon-nucleon interactions for both nuclear matter and finite nuclei are presented. The current status of fully self-consistent relativistic Brueckner-Hartree-Fock (RBHF) calculations for finite nuclei or neutron drops (ideal systems composed of a finite number of neutrons and confined within an external field) is reviewed. The guidance and perspectives towards an ab initio covariant density functional theory for nuclear structure derived from the RBHF results are provided. Summary and Perspectives 521. Introduction Brief introduction on nuclear theoryThe discoveries of radioactivity by Becquerel [1] and the Curies [2, 3] and the existence of a compact nucleus at the center of an atom by Rutherford et al. [4] opened the door of nuclear physics. During the hundred years of development in nuclear physics, there emerged several significant milestones, including the discovery of the neutron by Chadwick [5] which verified the composition of the nucleus as protons and neutrons, the meson-exchange theory for the strong interaction between nucleons by Yukawa [6], the independent-particle shell model of the nucleus by Goeppert-Mayer [7], Haxel, Jensen, and Suess [8], and the collective Hamiltonian for nuclear rotation and vibration by Rainwater [9], Bohr and Mottelson [10,11], etc.With the understanding of the composition of a nucleus as protons and neutrons [5] and the meson-exchange theory for the strong interaction between the nucleons [6], nuclear physicists hoped to describe the nucleus, a quantum many-body system, from the underlying nucleon-nucleon interaction. Euler, a student of Heisenberg, assumed the nuclear force as a two-body (2N) interaction with a Gaussian shape and calculated the infinite nuclear system, i.e., homogeneous nuclear matter, using second-order perturbation theory [12]. However, the strong repulsive core of the realistic nuclear force [13] prevents the application of perturbation theory.On the other hand, the nuclear structure model with a phenomenological mean field achieved great success. Goeppert-Mayer [7], Haxel, Jensen, and Suess [8] introduced a strong spin-orbit potential and proposed the nuclear independentparticle shell model that successfully explained the conventional magic numbers in nuclei. Rainwater [9], Bohr and Mottelson [10, 11] explored the nuclear deformation and proposed the nuclear collective mode...

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Section: Relativistic Brueckner-hartree-fock Theorymentioning

confidence: 99%

Towards an ab initio covariant density functional theory for nuclear structure

Shen

Liang

Long

et al. 2019

Progress in Particle and Nuclear Physics

106

View full text Add to dashboard Cite

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“…Some prominent representatives of the best-fit RMF models are NL3 [30], TM1 [29], FSUGold [24], and so on. Based on the microscopic relativistic Brueckner results, the density-dependent Hartree or Hartree-Fock approaches were developed to describe the finite nuclei (see [31,32] and references therein). These approaches are usually parameter free but their predictions are not as accurate as the best-fit models.…”

Section: A Brief Summary Of the Formalismmentioning

confidence: 99%

Neutron-skin thickness of finite nuclei in relativistic mean-field models with chiral limits

Jiang

Chen

2007

Phys. Rev. C

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We study several structure properties of finite nuclei using relativistic mean-field Lagrangians constructed according to the Brown-Rho scaling due to the chiral symmetry restoration at high densities. The models are consistent with current experimental constraints for the equations of state of symmetric matter at both normal and supranormal densities and of asymmetric matter at subsaturation densities. It is shown that these models can successfully describe the binding energies and charge radii of finite nuclei. Compared to calculations with usual relativistic mean-field models, these models give a reduced thickness of neutron skin in 208 Pb between 0.17 fm and 0.21 fm. The reduction of the predicted neutron skin thickness is found to be due to not only the softening of the symmetry energy but also the scaling property of ρ meson required by the partial restoration of chiral symmetry.

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“…-Dans les modèles basés sur des lagrangiens relativistes, les propriétés de la matière nucléaire asymétrique sont évidemment gouvernées par le canal isovecteur ce qui a en particulier suggéré l'utilisation d'un couplage avec un δ [209], de termes non-linéaires dans ce canal [49] ou l'aide de dépendances en densité dans des constantes de couplage effectives [210].…”

Section: L'énergie De Symétrieunclassified

Interactions effectives, théories de champ moyen, masses et rayons nucléaires

Meyer

2003

Ann. Phys. Fr.

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Effective Dirac Brueckner-Hartree-Fock method for asymmetric nuclear matter and finite nuclei

Cited by 32 publications

References 26 publications

Towards an ab initio covariant density functional theory for nuclear structure

Towards an ab initio covariant density functional theory for nuclear structure

Neutron-skin thickness of finite nuclei in relativistic mean-field models with chiral limits

Interactions effectives, théories de champ moyen, masses et rayons nucléaires

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