Year: 2026
Type: article
Abstract: 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.
Source: Physical Review C
DOI: 10.1103/5gb3-q3lz
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: U.S. Department of Energy, European Commission, Office of Science, National Nuclear Security Administration, Agencia Estatal de Investigación, Advanced Scientific Computing Research, Nuclear Physics, Laboratory Directed Research and Development, Argonne National Laboratory, Los Alamos National Laboratory
Awards: G1017065088, G102163711, G1175115578, G1275292511, G1279347439, G1313983767, G1527848044, G1664757510, G1760870335, G1838371850, G210041235, G2158922627, G2182133612, G2262748287, G2287611682, QUANTUM MONTE CARLO CALCULATIONS OF LEPTON-NUCLEUS INTERACTIONS, G2601397997, G262962599, G2886131259, G2896472831, G300979063, G3075337988, G3177085294, FROM ATOMIC NUCLEI TO INFINITE NUCLEONIC MATTER WITHIN CHIRAL DYNAMICS
(EARLY CAREER RESEARCH PROGRAM), G3248584790, G3318903820, G3367111595, NUCLEAR THEORY FOR NEW PHYSICS (NTNP), G34346518, G3480869486, G3681454997, G4042783231, G425668148, G4442677895, G4526231891, G464105488, G498139845, G5080475149, G5195188938, G604949671, G6256534168, G6410514744, G6563880843, G6825843117, G6848031779, G6918803902, G7084143925, G7259778263, G8015205945, QUANTUM MONTE CARLO CALCULATIONS OF LEPTON-NUCLEUS INTERACTIONS, G901871149, G969889393, G993149817
OpenAlex ID: W7169114627