Relativistic Brueckner—Hartree—Fock Theory for Finite Nuclei

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

doi:10.1088/0256-307x/33/10/102103

Cited by 60 publications

(76 citation statements)

References 66 publications

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“…In Refs. [36,37], the relativistic DWS basis [229] has been chosen as the initial trial basis. In comparison with the harmonic oscillator basis [93], it has advantages like a proper asymptotic behavior of nuclear density distribution, which is crucial for describing, e.g., halo nuclei.…”

Section: Self-consistent Basismentioning

confidence: 99%

“…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%

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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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102

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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: Self-consistent Basismentioning

confidence: 99%

mentioning

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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102

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“…Nuclear density functionals, even though they are phenomenological, are usually obtained by fitting to the properties of stable nuclei and, therefore, they are not well constrained in exotic regions far from the line of β-stability. Microscopic calculations started from nucleon-nucleon (NN) interaction, or the so called ab initio calculations [14][15][16][17][18][19][20][21][22][23], can provide valuable information to understand nuclear structure but are still difficult to be applied for exotic nuclei.…”

Section: Introductionmentioning

confidence: 99%

“…The single-particle energies are investigated and the monopole effect of the tensor force on the evolutions of the spin-orbit and the pseudospin-orbit splittings is discussed. The results provide interesting insight of neutron rich systems and can form an important guide for future density functionals.Recently, the self-consistent relativistic Brueckner-Hartree-Fock (RBHF) theory for finite nuclei has been established, and the results are in much better agreement with experimental data than the nonrelativistic calculations with the 2N interaction only [22,23]. Indeed, it is known since more than 30 years that relativistic Brueckner-Hartree-Fock theory gives a much better description of the nuclear matter saturation properties than nonrelativistic BHF theories [38][39][40].…”

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confidence: 99%

Relativistic Brueckner-Hartree-Fock theory for neutron drops

et al. 2018

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Neutron drops confined in an external field are studied in the framework of relativistic Brueckner-Hartree-Fock theory using the bare nucleon-nucleon interaction. The ground state energies and radii of neutron drops with even numbers from N = 4 to N = 50 are calculated and compared with results obtained from other nonrelativistic ab initio calculations and from relativistic density functional theory. Special attention has been paid to the magic numbers and to the sub-shell closures. The single-particle energies are investigated and the monopole effect of the tensor force on the evolutions of the spin-orbit and the pseudospin-orbit splittings is discussed. The results provide interesting insight of neutron rich systems and can form an important guide for future density functionals.Recently, the self-consistent relativistic Brueckner-Hartree-Fock (RBHF) theory for finite nuclei has been established, and the results are in much better agreement with experimental data than the nonrelativistic calculations with the 2N interaction only [22,23]. Indeed, it is known since more than 30 years that relativistic Brueckner-Hartree-Fock theory gives a much better description of the nuclear matter saturation properties than nonrelativistic BHF theories [38][39][40]. In nonrelativistic many-body investigations on the influence of various types of 3N-interactions, it was found that a relativistic effect, the so-called Z-diagram, plays a major role [41].Having these progresses in mind, it is important to study the neutron drops in more detail in the framework of RBHF theory and compare the results with other nonrelativistic ab initio calculations using various 2N or 2N + 3N interactions, as well as calculations using various density functionals. This can also provide valuable insight to improve current relativistic density functionals. In Ref. [28], a systematic and specific pattern due to the tensor forces in the evolution of spin-orbit splittings based on RBHF theory is reported.In this work, we investigate neutron drops confined in an external harmonic oscillator potential using relativistic Brueckner-Hartree-Fock theory, and present the numerical details and calculated results in detail. In Sec. II, we give a brief outline of the RBHF framework for neutron drops. The numerical details are discussed in Sec. III. Results and discussion for neutron drops with an even number of neutrons from N = 4 to 50 will be presented in Sec. IV. Finally, a summary and perspectives for future investigations will be given in Sec.V.

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“…Recently the first full RHBF calculations have been carried out for finite nuclear systems [4,5]. They provide a basis to determine in future the size of the tensor forces in covariant density functionals on a microscopic basis.…”

Section: Introductionmentioning

confidence: 99%

Covariant density functional theory: predictive power and first attempts of a microscopic derivation

Ring

2018

EPJ Web Conf.

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Abstract. We discuss systematic global investigations with modern covariant density functionals. The number of their phenomenological parameters can be reduced considerable by using microscopic input from ab-initio calculations in nuclear matter. The size of the tensor force is still an open problem. Therefore we use the first full relativistic Brueckner-Hartree-Fock calculations in finite nuclear systems in order to study properties of such functionals, which cannot be obtained from nuclear matter calculations.

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Relativistic Brueckner—Hartree—Fock Theory for Finite Nuclei

Cited by 60 publications

References 66 publications

Towards an ab initio covariant density functional theory for nuclear structure

Towards an ab initio covariant density functional theory for nuclear structure

Relativistic Brueckner-Hartree-Fock theory for neutron drops

Covariant density functional theory: predictive power and first attempts of a microscopic derivation

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