{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:XC7DOMVFB7W67YUNBZ7ZHX2EGS","short_pith_number":"pith:XC7DOMVF","schema_version":"1.0","canonical_sha256":"b8be3732a50fedefe28d0e7f93df44349e101ac60d702eae35b2c413b1aba12d","source":{"kind":"arxiv","id":"1107.3034","version":2},"attestation_state":"computed","paper":{"title":"A New Path-Integral Representation of the $T$-Matrix in Potential Scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"nucl-th","authors_text":"J. Carron, R. Rosenfelder","submitted_at":"2011-07-15T10:16:59Z","abstract_excerpt":"We employ the method used by Barbashov and collaborators in Quantum Field Theory to derive a path-integral representation of the $T$-matrix in nonrelativistic potential scattering which is free of functional integration over fictitious variables as was necessary before. The resulting expression serves as a starting point for a variational approximation applied to high-energy scattering from a Gaussian potential. Good agreement with exact partial-wave calculations is found even at large scattering angles. A novel path-integral representation of the scattering length is obtained in the low-energ"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1107.3034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2011-07-15T10:16:59Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"277b3674f130b5d058d84e5af7a38c0dcf800a5925e217ddc8376e12f7377ce6","abstract_canon_sha256":"4ddd392b836204d7413c2e445f5d368414e81f52b4f83a426670c939deb6d296"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:16.395188Z","signature_b64":"/ocRyL7g2U7D2T9YwrUHKKEd/ulQzsmykwqpUf1l3lh1Pl3ZxHrOxKLjA42mcRsKJiCXPnqi9RcWG/LoRF6TBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8be3732a50fedefe28d0e7f93df44349e101ac60d702eae35b2c413b1aba12d","last_reissued_at":"2026-05-18T02:01:16.394399Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:16.394399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A New Path-Integral Representation of the $T$-Matrix in Potential Scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"nucl-th","authors_text":"J. Carron, R. Rosenfelder","submitted_at":"2011-07-15T10:16:59Z","abstract_excerpt":"We employ the method used by Barbashov and collaborators in Quantum Field Theory to derive a path-integral representation of the $T$-matrix in nonrelativistic potential scattering which is free of functional integration over fictitious variables as was necessary before. The resulting expression serves as a starting point for a variational approximation applied to high-energy scattering from a Gaussian potential. Good agreement with exact partial-wave calculations is found even at large scattering angles. A novel path-integral representation of the scattering length is obtained in the low-energ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3034","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1107.3034","created_at":"2026-05-18T02:01:16.394508+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.3034v2","created_at":"2026-05-18T02:01:16.394508+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3034","created_at":"2026-05-18T02:01:16.394508+00:00"},{"alias_kind":"pith_short_12","alias_value":"XC7DOMVFB7W6","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"XC7DOMVFB7W67YUN","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"XC7DOMVF","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XC7DOMVFB7W67YUNBZ7ZHX2EGS","json":"https://pith.science/pith/XC7DOMVFB7W67YUNBZ7ZHX2EGS.json","graph_json":"https://pith.science/api/pith-number/XC7DOMVFB7W67YUNBZ7ZHX2EGS/graph.json","events_json":"https://pith.science/api/pith-number/XC7DOMVFB7W67YUNBZ7ZHX2EGS/events.json","paper":"https://pith.science/paper/XC7DOMVF"},"agent_actions":{"view_html":"https://pith.science/pith/XC7DOMVFB7W67YUNBZ7ZHX2EGS","download_json":"https://pith.science/pith/XC7DOMVFB7W67YUNBZ7ZHX2EGS.json","view_paper":"https://pith.science/paper/XC7DOMVF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.3034&json=true","fetch_graph":"https://pith.science/api/pith-number/XC7DOMVFB7W67YUNBZ7ZHX2EGS/graph.json","fetch_events":"https://pith.science/api/pith-number/XC7DOMVFB7W67YUNBZ7ZHX2EGS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XC7DOMVFB7W67YUNBZ7ZHX2EGS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XC7DOMVFB7W67YUNBZ7ZHX2EGS/action/storage_attestation","attest_author":"https://pith.science/pith/XC7DOMVFB7W67YUNBZ7ZHX2EGS/action/author_attestation","sign_citation":"https://pith.science/pith/XC7DOMVFB7W67YUNBZ7ZHX2EGS/action/citation_signature","submit_replication":"https://pith.science/pith/XC7DOMVFB7W67YUNBZ7ZHX2EGS/action/replication_record"}},"created_at":"2026-05-18T02:01:16.394508+00:00","updated_at":"2026-05-18T02:01:16.394508+00:00"}