{"paper":{"title":"Effects of perturbation for transition operator of double-${\\beta}$ decay on nuclear matrix element, effective axial-vector current coupling, and half-life","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-ex"],"primary_cat":"nucl-th","authors_text":"J. Terasaki, O. Civitarese","submitted_at":"2025-03-28T11:25:54Z","abstract_excerpt":"We calculate the nuclear matrix element (NME), effective axial-vector current coupling $g_A^\\mathrm{eff}$, and half-life of the double-$\\beta$ ($\\beta\\beta$) decay using the transition operator perturbed by the nuclear interaction. The correction terms for the NME are obtained by extending the hadron sector to a higher order in terms of the Rayleigh-Schr\\\"{o}dinger perturbation theory. The NME calculations are performed for the neutrinoless $\\beta\\beta$ ($0\\nu\\beta\\beta$) and the two-neutrino $\\beta\\beta$ ($2\\nu\\beta\\beta$) decays of $^{136}$Xe. The nuclear wave functions are calculated by the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.22339","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.22339/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}