Pseudo-spin symmetry restoration and the in-medium balance between nuclear attractive and repulsive interactions

Abstract

The mechanism that restores the pseudo-spin symmetry (PSS) are investigated under the relativistic Hartree-Fock (RHF) approach, by focusing on the in-medium balance between nuclear attractive and repulsive interactions. It is illustrated that the modelings of both the equilibrium of nuclear dynamics and the in-medium effects can be essentially changed by the $\rho$-tensor coupling that play the role almost fully via the Fock terms, from which the model discrepancy on the PSS restoration is verified. Specifically, the largely different density-dependent behaviors of the isoscalar coupling strengths $g_{\sigma }$ and $g_{\omega }$, deduced from the parametrization of the RHF Lagrangian PKA1, play an essential role in restoring the PSS of the high-$l^{\prime }$ pseudo-spin doublets around the Fermi levels. Qualitatively, a guidance is provided for the modelings of both the equilibrium of nuclear dynamics and the in-medium effects via the PSS restoration.

arXiv comment3 figures and 2 tables

References in corpus (41)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Pseudo-spin as a Relativistic Symmetry
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• The effective force NL3 revisited
• 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
• Density Dependent Hadron Field Theory
• Multi chiral-doublets in one single nucleus
• Spin symmetry in the anti-nucleon spectrum
• Density-Dependent Relativistic Hartree-Fock Approach
• Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• On the Relativistic Foundations of Pseudospin Symmetry in Nuclei
• A Relativistic Symmetry in Nuclei
• 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
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings
• Pseudo-spin Symmetry and Relativistic Single-nucleon Wave Functions
• Dynamics of nuclear single-particle structure in covariant theory of particle-vibration coupling: from light to superheavy nuclei
• Nuclear halo structure and pseudo-spin symmetry
• Superheavy magic structures in the relativistic Hartree-Fock-Bogoliubov approach
• 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
• 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
• Magicity of neutron-rich isotopes within relativistic self-consistent approaches
• 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
• Fine structure of charge-exchange spin-dipole excitations in ${}^{16}$O
• Dirac-Brueckner Hartree-Fock Approach: from Infinite Matter to Effective Lagrangians for Finite Systems
• Beyond the relativistic Hartree mean-field approximation: energy dependent effective mass
• Spurious Shell Closures in the Relativistic Mean Field Model
• 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
• Relativistic interpretation on the nature of nuclear tensor force

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