{"corpus_id":120047931,"paper_sha":"37fe011b3b6d34182e7096260d938439628d5d33","doi":"10.1103/PhysRevC.60.024003","arxiv_id":"nucl-th/9904002","pmid":null,"pmcid":null,"mag_id":1819383307,"dblp_id":null,"acl_id":null,"title":"S-matrix poles near theΛNandΣNthresholds in the coupledΛN−ΣNsystem","year":1999,"publication_date":"1999-04-01","venue":"","journal":{"name":"Physical Review C","pages":null,"volume":"60"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Physics"],"reference_count":12,"citation_count":9,"influential_citation_count":0,"is_open_access":true,"arxiv_categories":["nucl-th"],"arxiv_license":null,"arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"https://arxiv.org/pdf/nucl-th/9904002","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/37fe011b3b6d34182e7096260d938439628d5d33","s2_open_access_license":null,"s2_open_access_status":"GREEN","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"We search $t$-matrix poles for $\\Lambda N-\\Sigma N$ coupling interactions using two soft core models of the Nijmegen group which bind the hypertriton at the correct binding energy, and hard core models which are still influential in hypernuclear physics. To treat the hard core potentials, a useful method for calculating the off-shell $t$-matrix is proposed. We find poles close to the $\\Sigma N$ threshold in the second or third quadrant of the complex plane of the $\\Sigma N$ relative momentum. The relation between the poles and the shape of the $\\Lambda N$ elastic total cross section is discussed based on a so-called uniformization by which two-channel $t$-matrices become single-valued on a complex valuable. We also find poles near the $\\Lambda N$ threshold. These are correlated to the $S$-wave $\\Lambda N$ scattering lengths, the values of which have yet to be determined.","claims":[{"public_id":"cl_11ba55682ffd7c1bef434b2440e3ae9a","status":"active","text":"A method for calculating the off-shell t-matrix is proposed to treat hard core potentials.","confidence":0.9,"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_11ba55682ffd7c1bef434b2440e3ae9a"},{"public_id":"cl_70349f5de8581e6d387dcbe2ed2d7843","status":"active","text":"Poles near the ΛN threshold are correlated to the S-wave ΛN scattering lengths, whose values have yet to be determined.","confidence":0.85,"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_70349f5de8581e6d387dcbe2ed2d7843"},{"public_id":"cl_c28cd207b51ef99581138943bcafe2da","status":"active","text":"S-matrix poles are found close to the ΣN threshold in the second or third quadrant of the complex plane of the ΣN relative momentum.","confidence":0.9,"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_c28cd207b51ef99581138943bcafe2da"},{"public_id":"cl_064b183d66436f3e9f94a773235f1855","status":"active","text":"The relation between the poles and the shape of the ΛN elastic total cross section is discussed based on a uniformization by which two-channel t-matrices become single-valued on a complex variable.","confidence":0.85,"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_064b183d66436f3e9f94a773235f1855"}],"concepts":[{"public_id":"co_01b04067bd73b4ad4a250750fa31352f","status":"active","name":"S-wave ΛN scattering lengths","description":"Scattering lengths for the S-wave ΛN interaction, whose values are not yet determined and are correlated with poles near the ΛN threshold.","types":["parameter"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_01b04067bd73b4ad4a250750fa31352f"},{"public_id":"co_0a26b83da27657cba4cfa19780c32afa","status":"active","name":"uniformization","description":"A procedure that makes two-channel t-matrices single-valued on a complex variable, used to discuss the relation between poles and the ΛN elastic cross section.","types":["mathematical technique"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_0a26b83da27657cba4cfa19780c32afa"},{"public_id":"co_147aeb258aed58118e4b0037f7357a37","status":"active","name":"complex plane of ΣN relative momentum","description":"The complex plane of the relative momentum variable for the ΣN channel, where S-matrix poles are located.","types":["mathematical space"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_147aeb258aed58118e4b0037f7357a37"},{"public_id":"co_17c075bde9e74cfaca16e785a460a7f2","status":"active","name":"hard core potentials","description":"Potentials with a hard core repulsive component, treated by the proposed off-shell t-matrix method.","types":["potential model"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_17c075bde9e74cfaca16e785a460a7f2"},{"public_id":"co_562ad4b1df263e38e85fbbb4626777c7","status":"active","name":"ΛN elastic total cross section","description":"The total cross section for elastic ΛN scattering, whose shape is related to the S-matrix poles via uniformization.","types":["observable"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_562ad4b1df263e38e85fbbb4626777c7"},{"public_id":"co_8c99496f4baf5fc70792e4c43c7e606c","status":"active","name":"two-channel t-matrices","description":"The t-matrices for the coupled ΛN–ΣN system, which become single-valued after uniformization.","types":["mathematical object"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_8c99496f4baf5fc70792e4c43c7e606c"},{"public_id":"co_d2a4c7febbb550fb62cda49f5584fad7","status":"active","name":"off-shell t-matrix","description":"The t-matrix evaluated off the energy shell, for which a calculation method is proposed to handle hard core potentials.","types":["mathematical object"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_d2a4c7febbb550fb62cda49f5584fad7"},{"public_id":"co_e44b34adde0c3db0a26e78956ff2c4ab","status":"active","name":"S-matrix poles","description":"Poles of the scattering matrix in the complex momentum plane, found near thresholds in the coupled ΛN–ΣN system.","types":["theoretical object"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_e44b34adde0c3db0a26e78956ff2c4ab"},{"public_id":"co_f5873f5ac3143a9e94e6e4697f0bea46","status":"active","name":"ΛN threshold","description":"The energy threshold for the ΛN channel in the coupled ΛN–ΣN system.","types":["threshold"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_f5873f5ac3143a9e94e6e4697f0bea46"},{"public_id":"co_fb0cb5751d121c5144060253d734d3a2","status":"active","name":"ΣN threshold","description":"The energy threshold for the ΣN channel in the coupled ΛN–ΣN system.","types":["threshold"],"aliases":[],"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_fb0cb5751d121c5144060253d734d3a2"}],"external_ids":{"DOI":"10.1103/PhysRevC.60.024003","ArXiv":"nucl-th/9904002","PubMed":null,"PubMedCentral":null,"MAG":1819383307,"DBLP":null,"ACL":null},"open_access":{"is_open_access":true,"pdf_url":"https://arxiv.org/pdf/nucl-th/9904002","landing_url":"https://www.semanticscholar.org/paper/37fe011b3b6d34182e7096260d938439628d5d33","source":"semantic_scholar","pdf_url_source":"semantic_scholar_open_access_pdf","license":null,"status":"GREEN","reason":null},"reference_availability":{"status":"available","references_indexed":true,"full_text_available":true,"full_text_source":"arxiv","count_basis":"semantic_scholar_metadata","extraction_status":"not_applicable","reason":null},"source":{"provider":"episteme2","base_corpus":"semantic_scholar_dump","freshness_mode":"unknown","basis":["semantic_scholar_metadata","postgres_metadata"],"limits":["paper metadata is based on indexed upstream scholarly datasets","claims and concepts are available only for extracted papers","absence of claims or concepts means no extracted graph data is available in this response"],"status":"available","degraded":false,"degraded_reasons":[],"diagnostics":{"status":"available","degraded":false,"degraded_reasons":[],"metadata_status":"available","graph_status":"available","abstract_status":"available"},"source_flags":1},"paper_id":636861,"paper_uid":"85a29ed5-154f-4db1-a05b-133ed76c5383","canonical_identity":{"paper_id":636861,"paper_uid":"85a29ed5-154f-4db1-a05b-133ed76c5383","identity_status":"available","lookup_basis":"semantic_scholar_external_id","compatibility_path":"corpus_id"},"url":"https://sah.borca.ai/papers/120047931"}