Phenomenological charge-dependent forces in nuclei

The Nolen-Schiffer anomaly and the double Coulomb differences, i.e., mass differences of mirror nuclei differing by two nucleons, are considered together. It is shown that in the calculation of these differences one must take into account a renormalization of the Coulomb amplitude because of the polarization of the core and also include the ''tail effect,'' i.e., the difference of the single-particle wave functions of the protons and neutrons. These two effects have been ignored in earlier work on this subject. It has turned out that the latter effect is particularly important, and its sign depends on the character of the density dependence of the amplitude GAMMA/sup xi/ responsible for pairing. The phenomenological non-Coulomb charge-dependent forces, the introduction of which permits elimination of the Nolen--Schiffer anomaly, make it possible to reproduce also the double Coulomb differences only if one assumes that the amplitude GAMMA/sup xi/ corresponds to the surface pairing