Tensor force effect on the evolution of single-particle energies in some isotopic chains in the relativistic Hartree–Fock approximation

López−Quelle, M.; Marcos, S.; Niembro, R.; Savushkin, L. N.

doi:10.1016/j.nuclphysa.2018.01.012

Cited by 4 publications

(3 citation statements)

References 70 publications

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“…Interestingly, in Ref. [22] a reduction of the strength of the pion exchange tensor force from experimental nucleon-nucleon scattering was found necessary to get closer to experiment for Ca and Sn isotopic chains in a relativistic Hartree-Fock + Bardeen Cooper Schriffer (HF + BCS) approach.…”

Section: The Relation To a Long Range Tensor Forcementioning

confidence: 99%

Skyrme density functional description of the double magic Ni78 nucleus

Brink

Stancu

2018

Phys. Rev. C

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We calculate the single particle spectrum of the double magic nucleus 78 Ni in a Hartree-Fock approach using the Skyrme density-dependent effective interaction containing central, spin-orbit and tensor parts. We show that the tensor part has an important effect on the spin-orbit splitting of the proton 1f orbit which may explain the survival of magicity so far from the stability valley.We confirm the inversion of the 1f 5/2 and 2p3/2 levels at the neutron number 48 in the Ni isotopic chain expected from previous Monte Carlo shell model calculations and supported by experimental observation. *

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Section: The Relation To a Long Range Tensor Forcementioning

confidence: 99%

Skyrme density functional description of the double magic Ni78 nucleus

Brink

Stancu

2018

Phys. Rev. C

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“…This bloomed a series of works focused on the tensor effects on the shell evolution in both the non-relativistic [11,[34][35][36][37][38][39][40] and relativistic [41][42][43][44][45] DFT. Readers are referred to Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory

et al. 2018

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Tensor force is identified in each meson-nucleon coupling in the relativistic Hartree-Fock theory. It is found that all the meson-nucleon couplings, except the σ-scalar one, give rise to the tensor force. The effects of tensor force on various nuclear properties can now be investigated quantitatively, which allows fair and direct comparisons with the corresponding results in the non-relativistic framework. The tensor effects on nuclear binding energies and the evolutions of the Z, N = 8, 20, and 28 magic gaps are studied. The tensor contributions to the binding energies are shown to be tiny in general. The Z, N = 8 and 20 gaps are sensitive to the tensor force, but the Z, N = 28 gaps are not. PACS numbers: 21.30.Fe, 21.10.Pc, 21.60.Jz I. INTRODUCTIONThe tensor force is one of the most important components of the nucleon-nucleon interaction [1][2][3]. At early stage of nuclear physics, the tensor force was recognized to be responsible for the deuteron binding [4] and electric quadrupole moment [5]. With the advance of radioactive-ion-beam facilities around the world, much progress has been made in the study of the structure of exotic nuclei. From the β-stability valley towards the drip lines, the shell evolution, particularly the disappearance of the traditional magic numbers and the emergence of new ones, is of great interest [6][7][8]. It has been pointed out by Otsuka et al. [9][10][11][12] in the scheme of nuclear shell model that the tensor force plays a critical role in the shell evolution in exotic nuclei.Among the state-of-the-art nuclear methodologies, the nuclear density functional theory (DFT) [13][14][15][16] is the only approach that can cover almost the whole nuclear chart, in particular, the exotic nuclei, now and in the near future. The first study of the role of tensor force in the shell evolution can be traced back 40 years ago [17] in the Hartree-Fock (HF) theory using the Skyrme [18] interaction. However, in that study, minor improvements or even, in some cases, some deteriorations were predicted in the description of singleparticle energies and spin-orbit splittings. Actually, for decades, the tensor force had been neglected in the Skyrme HF theory. In the non-relativistic Gogny HF theory, the tensor force is also not included in the widely used versions [19,20]. The same applies to the relativistic framework. In the widely used relativistic mean-field * haozhao.liang@riken.jp †

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“…However, the tensor force has not been considered in these studies. The tensor force effect on the exotic nuclear structure has been discussed in the relativistic Hartree-Fock theory, such as the giant halo structure of Ce isotopes [75], and the evolution of single-particle energies of Ca isotopes [76,77]. Therefore, it is of current interest to study the giant halo and other exotic structures of Ca isotopes in the Skyrme mean-field theory with the tensor force.…”

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confidence: 99%

Tensor force effect on the exotic structure of neutron-rich Ca isotopes *

Wang¹,

Su²,

Qi³

et al. 2019

Chinese Phys. C

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The structure of neutron-rich Ca isotopes is studied in the spherical Skyrme-Hartree-Fock-Bogoliubov (SHFB) approach with SLy5, SLy5+T, and 36 sets of TIJ parametrizations. The calculated results are compared with the available experimental data for the average binding energies, two-neutron separation energies and charge radii. It is found that the SLy5+T, T31, and T32 parametrizations reproduce best the experimental properties, especially the neutron shell effects at N = 20, 28 and 32, and the recently measured two-neutron separation energy of 56Ca. The calculations with the SLy5+T and T31 parametrizations are extended to isotopes near the neutron drip line. The neutron giant halo structure in the very neutron-rich Ca isotopes is not seen with these two interactions. However, depleted neutron central densities are found in these nuclei. By analyzing the neutron mean-potential, the reason for the bubble-like structure formation is given.

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Tensor force effect on the evolution of single-particle energies in some isotopic chains in the relativistic Hartree–Fock approximation

Cited by 4 publications

References 70 publications

Skyrme density functional description of the double magic Ni78 nucleus

Skyrme density functional description of the double magic Ni78 nucleus

Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory

Tensor force effect on the exotic structure of neutron-rich Ca isotopes *

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