Coulomb energy differences in mirror nuclei revisited
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abstract
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-meansquare (rms) radius rc 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 1%. Our investigation also shows that, although the RMF with the NL3 parameter set reproduces the kink in the isotope variation of rc, 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.