{"paper":{"title":"A self-consistent spectral framework for inclusive non-elastic breakup, with the Trojan Horse method as the sub-Coulomb resonant limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The Trojan Horse Method resonance formula reduces from the per-pole DWBA cross section under four specific approximations.","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Jin Lei","submitted_at":"2026-05-16T09:05:51Z","abstract_excerpt":"The Trojan Horse Method (THM) extracts low-energy charged-particle resonance strengths through a plane-wave impulse approximation (PWIA) reduction of a three-body transfer matrix element. The Ichimura-Austern-Vincent (IAV) inclusive non-elastic breakup framework has not been brought to the sub-Coulomb astrophysical regime where THM operates. I introduce a diagonal isolated-pole spectral ansatz\n  for the absorptive participant-target optical potential with three explicit validity conditions, two closed by $R$-matrix tabulations and the third a model-dependent continuum-decoupling diagnostic. Th"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The factorized PWIA-THM resonance-strength formula is identified as a non-perturbative reduction of the per-pole DWBA cross section under four approximations (plane-wave substitution on the entrance and exit distorted waves, zero-range or surface-localized treatment of the spectator-participant interaction, on-shell evaluation of the binary subreaction vertex, and post-form remnant neglect), not a multiplicative correction factor. The per-pole DWBA pole cross section is the natural extraction quantity for sub-Coulomb resonance-strength analysis.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"A diagonal isolated-pole spectral ansatz for the absorptive participant-target optical potential with three explicit validity conditions, two closed by R-matrix tabulations and the third a model-dependent continuum-decoupling diagnostic.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Introduces a diagonal isolated-pole spectral ansatz that reduces the IAV cross section to per-pole DWBA terms in the resonant limit, identifying the PWIA-THM formula as a non-perturbative approximation under plane-wave, zero-range, on-shell, and remnant-neglect conditions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The Trojan Horse Method resonance formula reduces from the per-pole DWBA cross section under four specific approximations.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"83f6b9aa8dc33fa1e9d3126b6526582316e03222e2bf3df5f375bece03266787"},"source":{"id":"2605.16890","kind":"arxiv","version":1},"verdict":{"id":"9febb147-5279-4558-97b2-73012a8d65b5","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T19:08:41.145845Z","strongest_claim":"The factorized PWIA-THM resonance-strength formula is identified as a non-perturbative reduction of the per-pole DWBA cross section under four approximations (plane-wave substitution on the entrance and exit distorted waves, zero-range or surface-localized treatment of the spectator-participant interaction, on-shell evaluation of the binary subreaction vertex, and post-form remnant neglect), not a multiplicative correction factor. The per-pole DWBA pole cross section is the natural extraction quantity for sub-Coulomb resonance-strength analysis.","one_line_summary":"Introduces a diagonal isolated-pole spectral ansatz that reduces the IAV cross section to per-pole DWBA terms in the resonant limit, identifying the PWIA-THM formula as a non-perturbative approximation under plane-wave, zero-range, on-shell, and remnant-neglect conditions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"A diagonal isolated-pole spectral ansatz for the absorptive participant-target optical potential with three explicit validity conditions, two closed by R-matrix tabulations and the third a model-dependent continuum-decoupling diagnostic.","pith_extraction_headline":"The Trojan Horse Method resonance formula reduces from the per-pole DWBA cross section under four specific approximations."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.16890/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"cited_work_retraction","ran_at":"2026-05-19T20:52:41.822799Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T19:31:18.960377Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T19:20:48.814919Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T18:41:56.283946Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T18:33:26.362182Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"085e45583eb1719fdc204be21fb35e5f188599e0a09d56637c19df045a9af950"},"references":{"count":49,"sample":[{"doi":"","year":null,"title":"examines the sensitivity of the IAV inclusive non- elastic breakup cross section to the interior part of the entrance and exit distorted waves through a radial cut-off scheme that retains the full asy","work_id":"8e76da94-ce77-482f-9ef3-87da6e9e5dee","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1986,"title":"G. Baur, Phys. Lett. B178, 135 (1986)","work_id":"cebf3e02-cc47-4112-a60d-b4508410a4b1","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1999,"title":"C. Anguloet al., Nucl. Phys. A656, 3 (1999)","work_id":"d9692c5a-e783-41c2-ba67-01f2a16a828a","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2014,"title":"R. E. Tribble, C. A. Bertulani, M. La Cognata, A. M. Mukhamedzhanov, and C. Spitaleri, Rept. Prog. Phys. 77, 106901 (2014)","work_id":"984502b8-bb65-4730-bff5-5f09441dea9b","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2021,"title":"A. Tumino, C. A. Bertulani, M. La Cognata, L. Lamia, R. G. Pizzone, S. Romano, and S. Typel, Ann. Rev. Nucl. Part. Sci.71, 345 (2021)","work_id":"8bdd9085-5563-497f-aef3-0229f6d5dfa4","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":49,"snapshot_sha256":"cc62f4ef0a2de8a9bb5e7aa99d9658d4805136d3ed6e7c0f1684849527aa8561","internal_anchors":4},"formal_canon":{"evidence_count":2,"snapshot_sha256":"e26aec84d7e3d7482713acb78da440283f3b9e5fb195adfbd9dc1fb05616c939"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}