New determination of double-β-decay properties in48Ca: High-precisionQββ-value measurement and improved nuclear matrix element calculations
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Abstract
We report a direct measurement of the ${Q}_{\ensuremath{\beta}\ensuremath{\beta}}$ value of the neutrinoless double-$\ensuremath{\beta}$-decay candidate ${}^{48}\mathrm{Ca}$ at the TITAN Penning-trap mass spectrometer, with the result that ${Q}_{\ensuremath{\beta}\ensuremath{\beta}}=4267.98(32)\phantom{\rule{0.28em}{0ex}}\text{keV}$. We measured the masses of both the mother and daughter nuclides, and in the latter case found a 1 keV deviation from the literature value. In addition to the ${Q}_{\ensuremath{\beta}\ensuremath{\beta}}$ value, we also present results of a new calculation of the neutrinoless double-$\ensuremath{\beta}$-decay nuclear matrix element of ${}^{48}\mathrm{Ca}$. Using diagrammatic many-body perturbation theory to second order to account for physics outside the valence space, we constructed an effective shell-model double-$\ensuremath{\beta}$-decay operator, which increased the nuclear matrix element by about 75% compared with that produced by the bare operator. The new ${Q}_{\ensuremath{\beta}\ensuremath{\beta}}$ value and matrix element strengthen the case for a ${}^{48}\mathrm{Ca}$ double-$\ensuremath{\beta}$-decay experiment.
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