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We treat proton-neutron pairing amplitudes, in addition to the nucleardeformation, as generator coordinates in a calculation of the neutrinolessdouble-beta decay of 76Ge. We work in two oscillator shells, with a Hamiltonianthat includes separable terms in the quadrupole, spin-isospin, and pairing(isovector and isoscalar) channels. Our approach allows larger single-particlespaces than the shell model and includes the important physics of theproton-neutron quasiparticle random-phase approximation (QRPA) withoutinstabilities near phase transitions. After comparing the results of asimplified calculation that neglects deformation with those of the QRPA, wepresent a more realistic calculation with both deformation and proton-neutronpairing amplitudes as generator coordinates. The future should seeproton-neutron coordinates used together with energy-density functionals.

Proton-Neutron Pairing Amplitude as a Generator Coordinate for Double-Beta Decay