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arXiv · 2605.14006

Quantum Monte Carlo calculation of $\delta_C$ in the superallowed beta decay of $^{10}$C

Maria Piarulli·R. B. Wiringa·Alessandro Lovato·Garrett B. King·Saori Pastore
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Abstract

We perform an ab initio quantum Monte Carlo calculation of the isospin-symmetry-breaking correction $\delta_C$ to the superallowed $\beta$ decay of $^{10}{\rm C}$. Using both phenomenological and chiral nuclear interactions, we evaluate the Fermi matrix element and quantify its deviation from the canonical $\sqrt{2}$ value. The resulting $\delta_C$ values lie in the range $\approx 0.15$--$0.25\%$ and are consistent, within sizable uncertainties (approximately $34\%$--$65\%$ relative), across Hamiltonians, indicating no statistically significant dependence on the choice of nuclear interaction. The extracted values of $V_{ud}$ are also found to be compatible with current determinations within these uncertainties.

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Maria Piarulli, R. B. Wiringa, Alessandro Lovato, Garrett B. King, Saori Pastore. 2026-05-13. Quantum Monte Carlo calculation of $\delta_C$ in the superallowed beta decay of $^{10}$C. https://arxiv.org/abs/2605.14006

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