Quantum Monte Carlo calculation of $δ_C$ in the superallowed beta decay of $^{10}$C
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910218493886464 |
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| author | Piarulli, Maria Wiringa, R. B. Lovato, Alessandro King, Garrett B. Pastore, Saori |
| author_facet | Piarulli, Maria Wiringa, R. B. Lovato, Alessandro King, Garrett B. Pastore, Saori |
| contents | We perform an ab initio quantum Monte Carlo calculation of the isospin-symmetry-breaking correction $δ_C$ to the superallowed $β$ 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 $δ_C$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14006 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum Monte Carlo calculation of $δ_C$ in the superallowed beta decay of $^{10}$C Piarulli, Maria Wiringa, R. B. Lovato, Alessandro King, Garrett B. Pastore, Saori Nuclear Theory We perform an ab initio quantum Monte Carlo calculation of the isospin-symmetry-breaking correction $δ_C$ to the superallowed $β$ 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 $δ_C$ 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. |
| title | Quantum Monte Carlo calculation of $δ_C$ in the superallowed beta decay of $^{10}$C |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2605.14006 |