Covariant Density Functional Theory with Localized Exchange Terms

Abstract

A new density-dependent point-coupling covariant density functional PCF-PK1 is proposed, where the exchange terms of the four-fermion terms are local and are taken into account with the Fierz transformation. The coupling constants of the PCF-PK1 functional are determined by empirical saturation properties and ab initio equation of state and proton-neutron Dirac mass splittings for nuclear matter as well as the ground-state properties of selected spherical nuclei. The success of the PCF-PK1 is illustrated with properties of the infinite nuclear matter and finite nuclei including the ground-state properties and the Gamow-Teller resonances. In particular, the PCFPK1 eliminates the spurious shell closures at Z = 58 and Z = 92, which exist commonly in many covariant density functionals without exchange terms. Moreover, the Gamow-Teller resonances are nicely reproduced without any adjustable parameters, and this demonstrates that a self-consistent description for the Gamow-Teller resonances can be achieved with the localized exchange terms in the PCF-PK1. ?

35 pages, 14 figures

References in corpus (27)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Three-body forces: From cold atoms to 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
• Novel structure for magnetic rotation bands in 60Ni
• Spin-isospin resonances: A self-consistent covariant description
• Neutron density distributions from antiprotonic 208Pb and 209Bi atoms
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Dirac-Brueckner-Hartree-Fock calculations for isospin asymmetric nuclear matter based on improved approximation schemes
• Non-local mean field effect on nuclei near Z=64 sub-shell
• Implications of PREX-2 on the electric dipole polarizability of neutron rich nuclei
• The Nuclear Tensor Interaction in Covariant Energy Density Functional
• Tensor effects on gap evolution of N=40 from non-relativistic and relativistic mean-field theory
• Localized form of Fock terms in nuclear covariant density functional theory
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• Toward a bridge between relativistic and nonrelativistic density functional theories for nuclei
• Relativistic Hartree-Fock-Bogoliubov model for deformed nuclei
• Dynamics of rotation in chiral nuclei
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Systematic Matter and Binding-Energy Distributions from a Dispersive Optical Model Analysis
• Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group
• Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation
• Hamiltonian flow equations for a Dirac particle in large scalar and vector potentials