Relativistic Brueckner-Hartree-Fock theory in nuclear matter without the average momentum approximation

Tong, Hui; Ren, Xiu-Lei; Ring, P.; Shen, Shihang; Wang, Si-Bo; Meng, J.

doi:10.1103/physrevc.98.054302

Cited by 39 publications

(36 citation statements)

References 84 publications

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“…[ Besides the uncertainty in calculating different components of the single-particle potential, other uncertainties may exist because of the adopted approximations, such as the angle-average approximation of the Pauli operator [230,231,288,289] or the average approximation of total momentum. Recently, an exact treatment for the total momentum in RBHF has been reported [290]. Table 2 shows properties of symmetric and asymmetric nuclear matter at saturation density obtained by RBHF theory using the Bonn A, B, and C interactions for the exact and for averaged center-of-mass momentum.…”

Section: Nuclear Mattermentioning

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: Nuclear Mattermentioning

confidence: 99%

“…In Ref. [290], the calculation of the self-energy is based on a momentum-dependence analysis similar to that of Ref. [160] used in Table 1, but there are uncertainties, such as which momenta are chosen to calculate the self-energy.…”

Section: Nuclear Mattermentioning

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

Self Cite

102

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“…3, the renormalized density distributions by saturation density ρ 0 of nuclear matter are depicted. Note that the saturation density ρ 0 obtained in the RBHF theory with Bonn A is 0.180 fm −3 [70], while it is 0.152 fm −3 [43] in the RHF calculations with PKO1.…”

Section: Resultsmentioning

confidence: 84%

Strength of tensor forces from neutron drops in ab initio relativistic Brueckner-Hartree-Fock theory

et al. 2019

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The evolution of spin-orbit splittings of neutron drops along with the neutron number and its connection with the tensor-force strength have been investigated systematically for different external fields in the relativistic Brueckner-Hartree-Fock (RBHF) and relativistic Hartree-Fock (RHF) theories. Based on the RHF functional PKO1, it is found that a good consistency between the RBHF and RHF results for the total energies can be obtained only for those neutron drops whose central densities are close to the saturation density of nuclear matter. Nevertheless, by rescaling the density dependence of the RHF functional, the RBHF total energies of neutron drops in different external fields can be well reproduced. The optimized tensor-force strength λ in the RHF theory, which reproduces the microscopic RBHF spin-orbit splittings, is running with the strength of the external fields of neutron drops. This provides an important guide for future determination of tensor forces in nuclear energy density functionals based on microscopic ab initio calculations.

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“…The corresponding values of a , b, c and η, β, γ are obtained by fitting the numerical results of RBHF model with pvCD-Bonn A, B, C potentials, which are listed in Table I and The saturation properties, saturation density, n 0 and corresponding energy per nucleon, E/A, incompressibility, K ∞ , symmetry energy, E sym , the slope of symmetry energy, L are summarized in Table II for [59]. n 0 refers to the saturation densities.…”

Section: The Relativistic Brueckner-hartree-fock Model In Nu-cleamentioning

confidence: 99%

“…When the asymmetric nuclear matter is considered, the integrals about these momenta become very complicated, especially for the Pauli operator. In conventional calculations of RBHF model, the Pauli operator Q τ 1 τ 2 in the propagator is replaced by its average over solid angle with different cases [59].…”

Section: (A12)mentioning

confidence: 99%

Properties of nuclear matter in relativistic Brueckner–Hartree–Fock model with high-precision charge-dependent potentials

Wang

Zhang

et al. 2020

J. Phys. G: Nucl. Part. Phys.

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Properties of nuclear matter are investigated in the framework of relativistic Brueckner-Hartree-Fock model with the latest high-precision charge-dependent Bonn (pvCD-Bonn) potentials, where the coupling between pion and nucleon is adopted as pseudovector form. These realistic pvCD-Bonn potentials are renormalized to effective nucleon-nucleon (N N) interactions, G matrices. They are obtained by solving the Blankenbecler-Sugar (BbS) equation in nuclear medium. Then, the saturation properties of symmetric nuclear matter are calculated with pvCD-Bonn A, B, C potentials. The energies per nucleon are around −10.72 MeV to −16.83 MeV at saturation densities, 0.139 fm −3 to 0.192 fm −3 with these three potentials, respectively. It clearly demonstrates that the pseudovector coupling between pion and nucleon can generate reasonable saturation properties comparing with pseudoscalar coupling. Furthermore, these saturation properties have strong correlations with the tensor components of N N potentials, i.e., the D-state probabilities of deuteron, P D to form a relativistic Coester band. The equations of state of pure neutron matter from pvCD-Bonn potentials are almost identical, since the prominent difference of pvCD Bonn potentials are the components of tensor force, which provides very weak contributions in the case of total isospin T = 1. In addition, the charge symmetry breaking (CSB) and charge independence breaking (CIB) effects are also discussed in nuclear matter from the partial wave contributions with these highprecision charge-dependent potentials. In general, the magnitudes of CSB from the differences between nn and pp potentials are about 0.05 MeV, while those of CIB are around 0.35 MeV from the differences between np and pp potentials. Finally, the equations of state of asymmetric nuclear matter are also calculated with different asymmetry parameters. It is found that the effective neutron mass is larger than the proton one in neutron-rich matter.

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Relativistic Brueckner-Hartree-Fock theory in nuclear matter without the average momentum approximation

Cited by 39 publications

References 84 publications

Towards an ab initio covariant density functional theory for nuclear structure

Towards an ab initio covariant density functional theory for nuclear structure

Strength of tensor forces from neutron drops in ab initio relativistic Brueckner-Hartree-Fock theory

Properties of nuclear matter in relativistic Brueckner–Hartree–Fock model with high-precision charge-dependent potentials

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