Restoration of pseudo-spin symmetry in $N=32$ and $34$ isotones described by relativistic Hartree-Fock theory

Abstract

Restoration of pseudo-spin symmetry (PSS) along the $N=32$ and $34$ isotonic chains and the physics behind are studied by applying the relativistic Hartree-Fock theory with effective Lagrangian PKA1. Taking the proton pseudo-spin partners $(\pi 2s_{1/2},\pi 1d_{3/2})$ as candidates, systematic restoration of PSS along both isotonic chains is found from sulphur (S) to nickel (Ni), while distinct violation from silicon (Si) to sulphur is discovered near the drip lines. The effects of the tensor-force components introduced naturally by the Fock terms are investigated, which can only partly interpret the systematics from calcium to nickel, but fail for the overall trends. Further analysis following the Schrödinger-like equation of the lower component of Dirac spinor shows that the contributions from the Hartree terms dominate the overall systematics of the PSS restoration, and such effects can be self-consistently interpreted by the evolution of the proton central density profiles along both isotonic chains. Specifically the distinct PSS violation is found to tightly relate with the dramatic changes from the bubble-like density profiles in silicon to the central-bumped ones in sulphur.

arXiv comment4 figures, to be published in Chinese Physics C

References in corpus (44)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Nuclear magic numbers: new features far from stability
• Pseudo-spin as a Relativistic Symmetry
• Novel features of nuclear forces and shell evolution in exotic 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
• Evolution of shell structure in neutron-rich calcium isotopes
• Neutron halo in deformed nuclei
• Spin symmetry in the anti-nucleon spectrum
• Density-Dependent Relativistic Hartree-Fock Approach
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Deformed relativistic Hartree Bogoliubov theory in continuum
• 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
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Cross-shell excitation in two-proton knockout: Structure of ${}^{52}$Ca
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings
• Pseudospin symmetry in single particle resonant states
• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• Test of Pseudospin Symmetry in Deformed Nuclei
• A proton density bubble in the doubly magic ${}^{34}$Si nucleus
• Neutron star properties in density-dependent relativistic Hartree-Fock theory
• Detecting bubbles in exotic nuclei
• 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
• Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
• Probing the resonance of Dirac particle by the application of complex momentum representation
• Magicity of neutron-rich isotopes within relativistic self-consistent approaches
• Beyond-mean-field study of the possible "bubble" structure of 34Si
• The Nuclear Tensor Interaction in Covariant Energy Density Functional
• Does a proton "bubble" structure exist in the low-lying states of 34Si?
• Tensor-force effects on single-particle levels and proton bubble structure around the $Z$ or $N=20$ magic number
• Tensor effects on gap evolution of N=40 from non-relativistic and relativistic mean-field theory
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Description of nuclear systems within the relativistic Hartree-Fock method with zero range self-interactions of the scalar field
• Magicity of the ${}^{52}$Ca and ${}^{54}$Ca isotopes and tensor contribution within a mean--field approach
• Relativistic interpretation on the nature of nuclear tensor force
• Effects of the tensor force on the ground and first $2^{+}$ states of the magic ${}^{54}$Ca nucleus

Cited by in corpus (3)

• Electric dipole polarizability in neutron-rich Sn isotopes as a probe of nuclear isovector properties
• Non-relativistic expansion of single-nucleon Dirac equation: Comparison between Foldy-Wouthuysen transformation and similarity renormalization group
• Exploring effects of tensor force and its strength via neutron drops