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A systematic analysis of giant quadrupole resonances is performed for severalnuclei, from $^{30}$Si to $^{208}$Pb, within the subtracted secondrandom--phase--approximation (SSRPA) model in the framework of theenergy--density--functional theory. Centroid energies and widths of theisoscalar giant quadrupole resonances are compared with the correspondingrandom--phase--approximation (RPA) values. We find lower SSRPA centroidenergies compared to the RPA values leading, in general, to a better agreementwith the experimental data. As far as the widths are concerned, we observe forboth SSRPA and RPA cases a global attenuation of the single--particle Landaudamping going from lighter to heavier nuclei and we obtain, systematically,larger widths in the SSRPA model compared to the RPA case. For some selectednuclei for which high--resolution ($p,p'$) experimental data are available,namely $^{40}$Ca, $^{90}$Zr, $^{120}$Sn, and $^{208}$Pb, the theoreticalstrength distributions are directly compared with the experimental spectra. Weobserve a significant improvement, with respect to RPA results, in thedescription of the spreading widths and of the fragmentation of the obtainedspectra, due to the coupling between 1 particle-1 hole and 2 particle-2 holeconfigurations.

physical review. c

A systematic study of giant quadrupole resonances with the subtracted  second random--phase approximation: beyond--mean--field centroids and  fragmentation