Effects of tensor forces in nuclear spin–orbit splittings from ab initio calculations

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

doi:10.1016/j.physletb.2018.01.058

Cited by 45 publications

(77 citation statements)

References 94 publications

(121 reference statements)

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“…As shown in Ref. [233], the evolution of SO splittings in neutron drops gives a clear hint of the tensor force in the nuclear density functional, which has been the topic of long debates in the past [130].…”

Section: Spin-orbit Splitting and Tensor Effectsmentioning

confidence: 88%

“…Without further specification, all the results of neutron drops shown below are calculated in an external harmonic oscillator field Figure 17 shows the total energy divided by ωN 4/3 for N-neutron drops (N from 4 to 50 for Bonn A and from 4 to 28 for Bonn B and C) in a HO trap ( ω = 10 MeV) calculated by RBHF theory [233,234]. The factor ωN 4/3 is based on the consideration that, in the Thomas-Fermi approximation [145], the total energy for a non-interacting N-fermion system in a HO trap is given by…”

Section: General Propertiesmentioning

confidence: 99%

See 1 more Smart Citation

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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Section: Spin-orbit Splitting and Tensor Effectsmentioning

confidence: 88%

Section: General Propertiesmentioning

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

105

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show abstract

“…In this case we hope to be able to gain a parameter-free, microscopic understanding of open questions in modern phenomenological density functional theories, such as their isospin dependence or the importance of the tensor terms. As an example it has been found that the spin-orbit splitting in neutron droplets shows a very characteristic behavior as a function of the neutron number, which can be reproduced in phenomenological functionals with tensor terms of an appropriate size [29].…”

Section: Discussionmentioning

confidence: 98%

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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“…As mentioned in Ref. [50], the evolution of the spinorbit splittings by RBHF theory can be used to constrain the tensor force. On the other hand, the spin-orbit splittings given by RBHF theory using Bonn A interaction are slightly smaller than experimental data [39,40].…”

Section: Numerical Detailsmentioning

confidence: 99%

Skyrme functional with tensor terms from ab initio calculations of neutron-proton drops

Shen

Roca-Maza

2019

Phys. Rev. C

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A new Skyrme functional devised to account well for standard nuclear properties as well as for spin and spin-isospin properties is presented. The main novelty of this work relies on the introduction of tensor terms guided by ab initio relativistic Brueckner-Hartree-Fock calculations of neutron-proton drops. The inclusion of tensor term does not decrease the accuracy in describing bulk properties of nuclei, experimental data of some selected spherical nuclei such as binding energies, charge radii, and spin-orbit splittings can be well fitted. The new functional is applied to the investigation of various collective excitations such as the Giant Monopole Resonance (GMR), the Isovector Giant Dipole Resonance (IVGDR), the Gamow-Teller Resonance (GTR), and the Spin-Dipole Resonance (SDR). The overall description with the new functional is satisfactory and the tensor terms are shown to be important particularly for the improvement of the Spin-Dipole Resonance results. Predictions for the neutron skin thickness based on the non-energy weighted sum rule of the Spin-Dipole Resonance are also given. PACS numbers:

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Effects of tensor forces in nuclear spin–orbit splittings from ab initio calculations

Cited by 45 publications

References 94 publications

Towards an ab initio covariant density functional theory for nuclear structure

Towards an ab initio covariant density functional theory for nuclear structure

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

Skyrme functional with tensor terms from ab initio calculations of neutron-proton drops

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