Pseudospin Symmetry: Microscopic origin of the ground-state inversion in neutron-rich odd-A Cu isotopes

Abstract

The role of the pseudospin symmetry in the inversion of the ground-state spin in Cu isotopes is investigated within the covariant density functional theory (CDFT). The density functional PC-PK1 gives a good agreement with the observed ground-state properties of the odd-A ${}^{69-79}$Cu. In particular, the inversion of the ground-state spin at $A=75$ is reproduced nicely, which can be explained by the level crossing between the proton pseudospin partners $\pi 2p_{3/2}$ and $\pi 1f_{5/2}$. It is found that the pseudospin symmetry plays a dominant role in the evolution of the energy splittings between the pseudospin partners. By comparing with the results of the nonrelativistic DFTs, our studies suggest that the pseudospin symmetry is essential to the shell evolution around this region.

arXiv comment15 pages, 4 figures

References in corpus (34)

• 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
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Novel features of nuclear forces and shell evolution in exotic nuclei
• Evolution of shell structure in exotic nuclei
• A finite range pairing force for density functional theory in superfluid nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• ${}^{78}$Ni revealed as a doubly magic stronghold against nuclear deformation
• A new Skyrme interaction with improved spin-isospin properties
• The Isospin Asymmetry in the Pseudo-spin Dynamical Symmetry
• Dynamics of nuclear single-particle structure in covariant theory of particle-vibration coupling: from light to superheavy nuclei
• Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
• Multiple Chirality in Nuclear Rotation: A Microscopic View
• Superheavy magic structures in the relativistic Hartree-Fock-Bogoliubov approach
• Time-odd mean fields in covariant density functional theory: Rotating systems
• Non-local mean field effect on nuclei near Z=64 sub-shell
• Time-odd triaxial relativistic mean field approach for nuclear magnetic moments
• Microscopic analysis of induced nuclear fission dynamics
• Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• The nonrelativistic limit of the relativistic point coupling model
• Adjustment studies in self-consistent relativistic mean-field models
• Interplay between nuclear shell evolution and shape deformation revealed by magnetic moment of 75Cu
• Mapping exchange in relativistic Hartree-Fock
• Skyrme density functional description of the double magic ${}^{78}$Ni nucleus
• Pseudospin symmetry and structure of nuclei with $Z\ge$ 100
• Matter distribution and spin-orbit force in spherical nuclei
• The N=50 and Z=28 shell closure revisited
• The finite range simple effective interaction including tensor terms

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