Coulomb energy differences in mirror nuclei revisited

We calculate the Coulomb displacement energies (CDEs) of mirror nuclei using the recent parameter set (NL3) in the relativistic mean-field (RMF) model which includes self-coupling of the scalar meson. The results obtained are compared with the available ones calculated in the nonrelativistic Skyrme-Hartree-Fock (SHF) approach that have the best fit to the experimental data. When adjusted to reproduce the charge root-mean-square (rms) radius ${r}_{c}$ and the rms radii of the valence orbits, the results of the RMF model for the CDEs agree with those of the SHF model within $\ensuremath{\sim}1%.$ Our investigation also shows that, although the RMF with the NL3 parameter set reproduces the kink in the isotope variation of ${r}_{c},$ the values obtained for CDEs are too small to account for the experimental values without the addition of the contribution due to long-range correlation effects.

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