Abstract: By means of energy and orthogonality considerations we optimize the computation of nuclear matrix elements for neutrinoless double-β (0νββ), calculated using the generator-coordinate method with symmetry-restored constrained mean-field states. A selection mechanism is proposed to choose the most relevant mean-field states, giving the major contributions to the NME. We calculate the NME of the 76Ge→76Se transition using the quadrupole deformations and the isoscalar pairing coordinate as relevant constrained degrees of freedom. Our results show that not all states are necessary to be included in the GCM calculation, reducing the computational cost of solving the Hill-Wheeler-Griffin equation.

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