Effects of finite nucleon size, vacuum polarization, and electromagnetic spin-orbit interaction on nuclear binding energies and radii in spherical nuclei

Abstract

The electromagnetic effects of the finite size of the nucleon are implemented self-consistently on top of the Skyrme Hartree-Fock calculation, where the electric form factors of both protons and neutrons are considered. Furthermore, the vacuum polarization and the electromagnetic spin-orbit interaction are taken into account. The self-consistent finite-size effects give a different Coulomb potential from the conventional one and affect the neutrons as well. The contribution of the finite-size effects to the total energy reaches $7\mathrm{MeV}$ in ${}^{208}\mathrm{Pb}$. The vacuum polarization and the electromagnetic spin-orbit interaction are also non-negligible, especially in the heavy nuclei. These effects provide a comparable contribution of the total energy to that of the isospin symmetry-breaking terms of the nuclear interaction. The mirror nuclei mass difference in ${}^{48}\mathrm{Ca}$--${}^{48}\mathrm{Ni}$ is also studied, and its value is improved by approximately one order of magnitude.

13 pages, 1 figure, 5 tables

References in corpus (7)

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• A new Skyrme interaction with improved spin-isospin properties
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• The Slater approximation for Coulomb exchange effects in nuclear covariant density functional theory
• Neutron-proton mass difference in finite nuclei and the Nolen-Schiffer anomaly
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Cited by in corpus (8)

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• Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness
• Radial overlap correction to superallowed $0^{+}\to 0^{+}$ nuclear $\beta$ decays using the shell model with Hartree-Fock radial wave functions
• On the sensitivity of nuclear clocks to new physics
• Mirror-skin thickness: a possible observable sensitive to the charge symmetry breaking energy density functional
• Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei