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

Abstract

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 $\sigma$-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.

arXiv comment21 pages, 9 figures, 6 tables

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Cited by in corpus (16)

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• Neutron-proton effective mass splitting in neutron-rich matter
• Tensor-force effects on nuclear matter in relativistic ab initio theory
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Covariant energy density functionals with and without tensor couplings at the Hartree-Bogoliubov level
• Restoration of pseudo-spin symmetry in $N=32$ and $34$ isotones described by relativistic Hartree-Fock theory
• Configuration interaction relativistic Hartree-Fock model
• Tensor-force effects on shell-structure evolution in $N=82$ isotones and $Z=50$ isotopes in the relativistic Hartree-Fock theory
• Exploring effects of tensor force and its strength via neutron drops
• Applicability of Relativistic Point-Coupling Models to Neutron Star Physics
• Significance of tensor force in pseudo-spin symmetry
• Theory of nuclear collective vibrations
• Impact of pion tensor force on alpha clustering in ${}^{20}$Ne