The Nuclear Tensor Interaction in Covariant Energy Density Functional

Abstract

The origin of the nuclear tensor interaction in the covariant energy density functional (EDF) is presented in this work, associated with the Fock diagrams of Lorentz scalar and vector couplings. With this newly obtained relativistic formalism of the nuclear tensor interaction, more distinct tensor effects are found in the Fock diagrams of the Lorentz scalar and vector couplings, as compared to the Lorentz pseudo-vector and tensor channels. A unified and self-consistent treatment on both the nuclear tensor and spin-orbit interactions, which dominate the spin-dependent features of the nuclear force, is then achieved by the relativistic models. Moreover, careful analysis on the tensor strengths indicates the reliability of the nuclear tensor interaction in the covariant EDF for exploring the nuclear structure, excitation and decay modes.

5 pges, 3 figures

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• Hypernuclear stars from relativistic Hartree-Fock density functional theory
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• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
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• Isospin coupling-channel decomposition of nuclear symmetry energy in covariant density functional theory
• Relativistic interpretation on the nature of nuclear tensor force
• Critical parameters of liquid-gas phase transition in thermal symmetric and asymmetric nuclear matter
• Covariant Density Functional Theory with Localized Exchange Terms
• 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
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• Applicability of Relativistic Point-Coupling Models to Neutron Star Physics
• Impact of pion tensor force on alpha clustering in ${}^{20}$Ne
• Correlated structure of nuclear symmetry energy from covariant nucleon self-energy