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PreprintarXiv licencearXiv

Quantum Monte Carlo calculation of δC in the superallowed beta decay of 10C

Abstract

We perform an ab initio quantum Monte Carlo calculation of the isospin-symmetry-breaking correction δC to the superallowed β decay of 10C. Using both phenomenological and chiral nuclear interactions, we evaluate the Fermi matrix element and quantify its deviation from the canonical √2 value. The resulting δC values lie in the range ≈ 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 Vud are also found to be compatible with current determinations within these uncertainties.

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BibTeX
@misc{piarulli2026quantum,
  title = {{Quantum Monte Carlo calculation of $δ_C$ in the superallowed beta decay of $^10$C}},
  author = {Maria Piarulli and R. B. Wiringa and Alessandro Lovato and Garrett B. King and Saori Pastore},
  howpublished = {arXiv},
  year = {2026},
  month = may,
  doi = {10.48550/arxiv.2605.14006},
  eprint = {2605.14006},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.14006},
}
RIS
TY  - UNPB
TI  - Quantum Monte Carlo calculation of δ_C in the superallowed beta decay of ^10C
AU  - Maria Piarulli
AU  - R. B. Wiringa
AU  - Alessandro Lovato
AU  - Garrett B. King
AU  - Saori Pastore
PY  - 2026
DA  - 2026/05/13
PB  - arXiv
DO  - 10.48550/arxiv.2605.14006
UR  - https://arxiv.org/abs/2605.14006
AB  - We perform an ab initio quantum Monte Carlo calculation of the isospin-symmetry-breaking correction δ_C to the superallowed β decay of ^10C. Using both phenomenological and chiral nuclear interactions, we evaluate the Fermi matrix element and quantify its deviation from the canonical √2 value. The resulting δ_C values lie in the range ≈ 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.
ER  -