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We use the generator-coordinate method with realistic shell-modelinteractions to closely approximate full shell-model calculations of the matrixelements for the neutrinoless double-beta decay of $^{48}$Ca, $^{76}$Ge, and$^{82}$Se. We work in one major shell for the first isotope, in the$f_{5/2}pg_{9/2}$ space for the second and third, and finally in two majorshells for all three. Our coordinates include not only the usual axialdeformation parameter $\beta$, but also the triaxiality angle $\gamma$ andneutron-proton pairing amplitudes. In the smaller model spaces our matrixelements agree well with those of full shell-model diagonalization, suggestingthat our Hamiltonian-based GCM captures most of the important valence-spacecorrelations. In two major shells, where exact diagonalization is not currentlypossible, our matrix elements are only slightly different from those in asingle shell.

Neutrinoless double-beta decay matrix elements in large shell-model spaces with the generator-coordinate method