Nuclear effective charge factor originating from covariant density functional theory

Abstract

Guiding by the relativistic local density approximation, we explore a phenomenological formula for the coupling strength of Coulomb field to take into account the Coulomb exchange term effectively in the relativistic Hartree approximation. Its validity in finite nuclei is examined by comparing with the exact treatment of the Coulomb exchange energies in the relativistic Hartree-Fock-Bogoliubov approach. It is found that the exact Coulomb exchange energies can be reproduced by employing the phenomenological formula with the relative deviations less than 1% for semi-magic Ca, Ni, Sn, and Pb isotopes. Furthermore, we check the applicability of the phenomenological formula for the effective interactions in the relativistic Hartree approach by investigating the binding energy differences of mirror nuclei.

10 pages, 4 figures

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Cited by in corpus (5)

• Radial basis function approach in nuclear mass predictions
• Effects of finite nucleon size, vacuum polarization, and electromagnetic spin-orbit interaction on nuclear binding energies and radii in spherical nuclei
• Modification of the Nuclear Landscape in the Inverse Problem Framework using the Generalized Bethe-Weizsäcker Mass Formula
• Impacts of the tensor couplings of $\omega$ and $\rho$ mesons and Coulomb exchange terms on super-heavy nuclei and their relation to symmetry energy
• Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei