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

Abstract

We treat proton-neutron pairing amplitudes, in addition to the nuclear deformation, as generator coordinates in a calculation of the neutrinoless double-beta decay of 76Ge. We work in two oscillator shells, with a Hamiltonian that includes separable terms in the quadrupole, spin-isospin, and pairing (isovector and isoscalar) channels. Our approach allows larger single-particle spaces than the shell model and includes the important physics of the proton-neutron quasiparticle random-phase approximation (QRPA) without instabilities near phase transitions. After comparing the results of a simplified calculation that neglects deformation with those of the QRPA, we present a more realistic calculation with both deformation and proton-neutron pairing amplitudes as generator coordinates. The future should see proton-neutron coordinates used together with energy-density functionals.

Published version (essentially)

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Cited by in corpus (9)

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• Neutrinoless double-beta decay matrix elements in large shell-model spaces with the generator-coordinate method
• The union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double-beta decay
• Global calculation of two-neutrino double-$\beta$ decay within the finite amplitude method in nuclear density functional theory
• Probing the Mechanism of Neutrinoless Double-Beta Decay in Multiple Isotopes
• Neutron-proton pairing and double-beta decay in the interacting boson model
• $\alpha$ + ${}^{92}$Zr cluster structure in ${}^{96}$Mo