Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei

Shen, Shihang; Liang, Haozhao; Meng, J.; Ring, P.; Zhang, Shuangquan

doi:10.1103/physrevc.96.014316

Cited by 58 publications

(100 citation statements)

References 115 publications

(288 reference statements)

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“…After the 1980s, with improvements of the nuclear force and with increasing computational resources, ab initio calculations starting from realistic nucleonnucleon interactions have been largely promoted with more and more advanced many-body methods, such as the quantum Monte-Carlo method [24], the self-consistent Green's function method [25], the no-core shell model [26], the Monte-Carlo shell model [27], the nuclear lattice effective field theory [28], or the in-medium similarity renormalization group [29]. For recent reviews, see .Recently, relativistic Brueckner-Hartree-Fock (BHF) theory, a fully self-consistent relativistic version of ab inito calculations has been successfully applied to finite nuclei [36,37], and this will be reviewed in more detail in the following text. On the one hand, ab initio calculations are of fundamental significance by themselves.…”

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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

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105

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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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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

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105

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“…Of these, the Bonn potential has been successfully applied in relativistic many-body calculations (e.g. Dirac-Brueckner-Hartree-Fock theory [22]), to study both nuclear matter [23] and, more recently, finite nuclei [24,25]. However, the connection of the relativistic phenomenological potentials to the underlying theory of the strong interaction, Quantum Chromodynamics (QCD), is not very transparent.…”

Section: Introductionmentioning

confidence: 99%

“…In the long run, however, we aim to also include higher orders and to provide a high-precision relativistic chiral nuclear force so that relativistic many-body calculations, such as those of Refs. [23][24][25] using Dirac-Brueckner-Hartree-Fock theory, can be performed with these relativistic chiral forces.…”

Section: Introductionmentioning

confidence: 99%

Leading order relativistic chiral nucleon-nucleon interaction

Ren¹,

Li²,

Geng³

et al. 2018

Chinese Phys. C

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Motivated by the successes of relativistic theories in studies of atomic/molecular and nuclear systems and the need for a relativistic chiral force in relativistic nuclear structure studies, we explore a new relativistic scheme to construct the nucleon-nucleon interaction in the framework of covariant chiral effective field theory. The chiral interaction is formulated up to leading order with covariant power counting and a Lorentz invariant chiral Lagrangian. We find that the relativistic scheme induces all six spin operators needed to describe the nuclear force. A detailed investigation of the partial wave potentials shows a better description of the 1 S0 and 3 P0 phase shifts than the leading order Weinberg approach, and similar to that of the next-to-leading order Weinberg approach. For the other partial waves with angular momenta J ≥ 1, the relativistic results are almost the same as their leading order non-relativistic counterparts.

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“…levels, but by fitting to pseudodata from ab initio calculations. In a recent work, an ideal system, the neutron drops, has been studied by relativistic Brueckner-Hartree-Fock (RBHF) theory [19,20,21] using the Bonn interactions and a clear signature of tensor term has been illustrated in the evolution of spin-orbit (SO) splittings [22,23]. Along this direction, we further studied the neutron-proton drops with RBHF theory, which is also an ideal system confined in an external field without consideration of center-of-mass correction nor Coulomb interaction [24].…”

Section: Introductionmentioning

confidence: 99%

Skyrme Functional with Tensor Terms from ab initio Calculations: Results for the Spin--Orbit Splittings

Shen¹,

Roca-Maza²

2019

Acta Phys. Pol. B Proc. Suppl.

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A new Skyrme functional including tensor terms is presented. The tensor terms have been determined by fitting the results of relativistic Brueckner-Hartree-Fock (RBHF) studies on neutron-proton drops. Unlike all previous studies, where the tensor terms were usually determined by fitting to experimental data of single-particle levels, the pseudodata calculated by RBHF does not contain beyond mean-field effect such as the particle-vibration coupling and therefore can provide information of the tensor term without ambiguities. The obtained new functional, named

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Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei

Cited by 58 publications

References 115 publications

Towards an ab initio covariant density functional theory for nuclear structure

Towards an ab initio covariant density functional theory for nuclear structure

Leading order relativistic chiral nucleon-nucleon interaction

Skyrme Functional with Tensor Terms from ab initio Calculations: Results for the Spin--Orbit Splittings

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