Large-scale calculations of the double-βdecay of76Ge,130Te,136Xe, and150Ndin the deformed self-consistent Skyrme quasiparticle random-phase approximation (original) (raw)

We use the axially-deformed Skyrme Quasiparticle Random-Phase Approximation (QRPA) together with the SkM * energy-density functional, both as originally presented and with the time-odd part adjusted to reproduce the Gamow-Teller resonance energy in 208 Pb, to calculate the matrix elements governing the neutrinoless double-beta decay of 76 Ge, 130 Te, 136 Xe, and 150 Nd. Our matrix elements in 130 Te and 136 Xe are significantly smaller than those of previous QRPA calculations, primarily because of the difference in pairing or deformation between the initial and final nuclei. In 76 Ge and 150 Nd our results are similar to those of less computationally intensive QRPA calculations. We suspect the 76 Ge result, however, because we are forced to use a spherical ground-state, even though our mean-field theory indicates a deformed minimum.

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