Relativistic interpretation on the nature of nuclear tensor force

Abstract

The spin-dependent nature of the nuclear tensor force is studied in details within the relativistic Hartree-Fock approach. The relativistic formalism for the tensor force is supplemented with an additional Lorentz-invariant tensor formalism in $\sigma$-scalar channel, so as to take into account almost fully the nature of the tensor force brought about by the Fock diagrams in realistic nuclei. Specifically, the tensor sum rules are tested for the spin and pseudo-spin partners with/without nodes, to further understand the tensor force nature within relativistic model. It is shown that the interference between two components of nucleon spinors brings distinct violations on the tensor sum rules in realistic nuclei , which is mainly due to the opposite sign on $\kappa$ quantities of the upper and lower components as well as the nodal difference. Even though, the sum rules can be precisely reproduced if taking the same radial wave functions for the spin/pseudo-spin partners in addition to neglecting the lower/upper components, revealing clearly the nature of tensor force.

arXiv comment10 pages, 4 figures, 6 tables, to be published in Chinese Physics C

References in corpus (52)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Recent Progress in Quantum Hadrodynamics
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Pseudo-spin as a Relativistic Symmetry
• Novel features of nuclear forces and shell evolution in exotic nuclei
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line
• Multi chiral-doublets in one single nucleus
• Spin symmetry in the anti-nucleon spectrum
• Density-Dependent Relativistic Hartree-Fock Approach
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Spin-isospin resonances: A self-consistent covariant description
• $\beta$-decay half-lives of neutron-rich nuclei and matter flow in the $r$-process
• Pseudospin symmetry and its approximation in real nuclei
• Tensor part of the Skyrme energy density functional. II: Deformation properties of magic and semi-magic nuclei
• Tensor interaction contributions to single-particle energies
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings
• Pseudospin symmetry in single particle resonant states
• Test of Pseudospin Symmetry in Deformed Nuclei
• Nuclear halo structure and pseudo-spin symmetry
• Effect of the tensor force on the charge-exchange spin-dipole excitations of 208Pb
• Superheavy magic structures in the relativistic Hartree-Fock-Bogoliubov approach
• Effect of Tensor Correlations on Gamow-Teller States in 90Zr and 208Pb
• Neutron star properties in density-dependent relativistic Hartree-Fock theory
• Self-consistent relativistic quasiparticle random-phase approximation and its applications to charge-exchange excitations and $\beta$-decay half-lives
• Effects of the Tensor Force on the Multipole Response in Finite Nuclei
• Impact of tensor force on β-decay of magic and semi-magic nuclei
• Pseudo-spin symmetry in density-dependent relativistic Hartree-Fock theory
• Hyperon effects in covariant density functional theory with recent astrophysical observations
• Non-local mean field effect on nuclei near Z=64 sub-shell
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
• Magicity of neutron-rich isotopes within relativistic self-consistent approaches
• Isospin dependence of pseudospin symmetry in nuclear resonant states
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• The Nuclear Tensor Interaction in Covariant Energy Density Functional
• Pseudospin symmetry in supersymmetric quantum mechanics: II. Spin-orbit effects
• Tensor effects on gap evolution of N=40 from non-relativistic and relativistic mean-field theory
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Fine structure of charge-exchange spin-dipole excitations in ${}^{16}$O
• Relativistic Density Dependent Hartree-Fock Approach for Finite Nuclei
• Relativistic effect of spin and pseudospin symmetries
• Description of nuclear systems within the relativistic Hartree-Fock method with zero range self-interactions of the scalar field
• Isospin coupling-channel decomposition of nuclear symmetry energy in covariant density functional theory
• Effects of tensor interaction on pseudospin energy splitting and shell correction
• Magnetic excitations in nuclei with neutron excess

Cited by in corpus (17)

• Towards an ab initio covariant density functional for nuclear structure
• Skyrme functional with tensor terms from \textit{ab initio} calculations of neutron-proton drops
• Nuclear fourth-order symmetry energy and its effects on neutron star properties in the relativistic Hartree-Fock theory
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Pseudo-spin symmetry restoration and the in-medium balance between nuclear attractive and repulsive interactions
• Critical parameters of liquid-gas phase transition in thermal symmetric and asymmetric nuclear matter
• Non-relativistic expansion of single-nucleon Dirac equation: Comparison between Foldy-Wouthuysen transformation and similarity renormalization group
• 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
• Moments of inertia of neutron stars in relativistic mean field theory: the role of the isovector scalar channel
• 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
• Impact of pion tensor force on alpha clustering in ${}^{20}$Ne
• Correlated structure of nuclear symmetry energy from covariant nucleon self-energy