{"paper":{"title":"Quantum Monte Carlo calculation of $\\delta_C$ in the superallowed beta decay of $^{10}$C","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Ab initio quantum Monte Carlo calculations determine the isospin-symmetry-breaking correction δ_C for the superallowed beta decay of 10C to be 0.15-0.25%.","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Alessandro Lovato, Garrett B. King, Maria Piarulli, R. B. Wiringa, Saori Pastore","submitted_at":"2026-05-13T18:12:32Z","abstract_excerpt":"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. "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the quantum Monte Carlo sampling with the chosen phenomenological and chiral Hamiltonians fully captures isospin-symmetry-breaking effects without sizable systematic bias from finite model-space truncations or from the treatment of electromagnetic and charge-dependent forces.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Ab initio QMC calculations yield δ_C ≈ 0.15–0.25% for ¹⁰C superallowed beta decay, consistent across phenomenological and chiral interactions within 34–65% relative uncertainties.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Ab initio quantum Monte Carlo calculations determine the isospin-symmetry-breaking correction δ_C for the superallowed beta decay of 10C to be 0.15-0.25%.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"5f9f9de3362f16b7c61b2223b5b724090bd65d414012e4c645b1079893e86836"},"source":{"id":"2605.14006","kind":"arxiv","version":1},"verdict":{"id":"b21578d6-221e-4b4e-a565-75e0b945edb5","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T02:35:24.266689Z","strongest_claim":"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.","one_line_summary":"Ab initio QMC calculations yield δ_C ≈ 0.15–0.25% for ¹⁰C superallowed beta decay, consistent across phenomenological and chiral interactions within 34–65% relative uncertainties.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the quantum Monte Carlo sampling with the chosen phenomenological and chiral Hamiltonians fully captures isospin-symmetry-breaking effects without sizable systematic bias from finite model-space truncations or from the treatment of electromagnetic and charge-dependent forces.","pith_extraction_headline":"Ab initio quantum Monte Carlo calculations determine the isospin-symmetry-breaking correction δ_C for the superallowed beta decay of 10C to be 0.15-0.25%."},"references":{"count":57,"sample":[{"doi":"","year":2015,"title":"J. C. Hardy and I. S. Towner, Phys. Rev. C91, 025501 (2015), 1411.5987","work_id":"ebf62799-a17b-49c6-a6c9-e0503daf728d","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"J. C. Hardy and I. S. Towner, Phys. Rev. C102, 045501 (2020)","work_id":"bdc0689c-473f-4be2-bcd1-bf00a3569dcd","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1963,"title":"N. Cabibbo, Phys. Rev. Lett.10, 531 (1963)","work_id":"50e19ffa-619f-4298-8945-c0b3f5dae3f6","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1973,"title":"M. Kobayashi and T. Maskawa, Prog. Theor. Phys.49, 652 (1973)","work_id":"436a5d1c-6e85-41d5-b1ed-c16ed3bb4640","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2008,"title":"An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay","work_id":"c0e6db07-7cee-4b97-83f8-c7c25951096a","ref_index":5,"cited_arxiv_id":"0710.3181","is_internal_anchor":true}],"resolved_work":57,"snapshot_sha256":"58672f6789e0e44830f8227a226fc45d1d651808ea6f0bb3b345c32f99c7cc7e","internal_anchors":19},"formal_canon":{"evidence_count":2,"snapshot_sha256":"37b5a7f8a94b17cb18f9c51f6f3b349e65189865b392b93385d99ed5e22c46fe"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}