“…1, we show the strength functions of the ISGMR, obtained either in the framework of (Q)RPA by using a smoothing with Lorentzians having a width of 1 MeV (dash-dotted [black] line), or within (Q)RPA+(Q)PVC (solid [blue] line), using the SV-K226 Skyrme force, in the even-even 112-124 Sn, 48 Ca, and 208 Pb nuclei. We compare the results with the experimental ones ([green] crosses) [8,15,39]. In general, with the inclusion of (Q)PVC effects, the results are significantly improved with respect to (Q)RPA, so we can achieve a good description of data both in the light 48 Ca isotope, medium-heavy Sn isotopes, and heavy 208 Pb.…”