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Effects of the isospin-symmetry breaking (ISB) beyond mean-field Coulombterms are systematically studied in nuclear masses near the $N=Z$ line. TheCoulomb exchange contributions are calculated exactly. We use extended Skyrmeenergy density functionals (EDFs) with proton-neutron-mixed densities, to whichwe add new terms breaking the isospin symmetry. Two parameters associated withthe new terms are determined by fitting mirror and triplet displacementenergies (MDEs and TDEs) of isospin multiplets. The new EDFs reproduce MDEs forthe $T=\frac12$ doublets and $T=1$ triplets, and TDEs for the $T=1$ triplets.Relative strengths of the obtained isospin-symmetry-breaking terms {\em arenot} consistent with the differences in the $NN$ scattering lengths, $a_{nn}$,$a_{pp}$, and $a_{np}$. Based on low-energy experimental data, it seems thusimpossible to delineate the strong-force ISB effects from beyond-mean-fieldCoulomb-energy corrections.

Isospin-symmetry breaking in masses of $N\simeq Z$ nuclei