Does axial-coupling quenching persist at neutrinoless decay momentum transfers? · revision history
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Accepted · first revision · record
- Title
- Does axial-coupling quenching persist at neutrinoless decay momentum transfers?
- Plain
- Simple nuclear models overpredict ordinary beta-decay rates unless the weak axial coupling $g_{\mathrm{A}}$ is reduced by about 25 percent, a correction called quenching. First-principles work explains this with two-nucleon currents and correlations, but whether the same reduction applies to neutrinoless decay, where momenta are about $100\ \mathrm{MeV}/c$, is unknown.
- Precise
- Gamow-Teller quenching at momentum transfer $q \to 0$ (effective $g_{A} \text{ about } 0.75 \text{ times } g_{A} = 1.2754$) was reproduced ab initio by two-body currents and correlations (Gysbers et al., Nature Physics 15, 428, 2019). Determine the effective renormalization of the axial operator at $q \text{ about } 100 \text{ to } 200\,\mathrm{MeV}/c$, relevant to 0nubb, in the same nuclei. Answer: the ratio of $M^{0\nu}$ with and without two-body currents and correlations, with uncertainty.
- Settled by
- Ab initio computations of muon capture and forbidden beta decays (which probe $q$ about 100 MeV/c) compared with data, then applied to the 0nubb operator.
- Kind
- well-posed
- Answer type
- value
- References
- (empty)
- Literature status
- partially-resolved
- Status note
- The $q \to 0$ quenching has been considered explained since 2019; its momentum dependence remained open as of 2026.
- Posed since
- (empty)