We derive the modified Lüscher equation in the presence of the long-range force caused by the exchange of a light particle. It is shown that the use of this equation enables one to circumvent the problems related to the strong partial-wave mixing and the t-channel sub-threshold singularities. It is also demonstrated that the present method is intrinsically linked to the so-called modified effective-range expansion (MERE) in the infinite volume. A detailed comparison with the two recently proposed alternative approaches is provided.
{ "_oai": { "updated": "2024-05-15T00:30:17Z", "id": "oai:repo.scoap3.org:85459", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Germany", "value": "Helmholtz-Institut f\u00fcr Strahlen- und Kernphysik (Theorie), and Bethe Center for Theoretical Physics, Universit\u00e4t Bonn, Bonn, 53115, Germany", "organization": "Universit\u00e4t Bonn" } ], "surname": "Bubna", "email": "bubna@hiskp.uni-bonn.de", "full_name": "Bubna, Rishabh", "given_names": "Rishabh" }, { "affiliations": [ { "country": "Germany", "value": "Department of Physics, Technische Universit\u00e4t Darmstadt, Darmstadt, 64289, Germany", "organization": "Technische Universit\u00e4t Darmstadt" }, { "country": "Germany", "value": "ExtreMe Matter Institute EMMI and Helmholtz Forschungsakademie Hessen f\u00fcr FAIR (HFHF), GSI Helmholtzzentrum f\u00fcr Schwerionenforschung GmbH, Darmstadt, 64291, Germany", "organization": "GSI Helmholtzzentrum f\u00fcr Schwerionenforschung GmbH" } ], "surname": "Hammer", "email": "hans-werner.hammer@physik.tu-darmstadt.de", "full_name": "Hammer, Hans-Werner", "given_names": "Hans-Werner" }, { "affiliations": [ { "country": "Germany", "value": "Helmholtz-Institut f\u00fcr Strahlen- und Kernphysik (Theorie), and Bethe Center for Theoretical Physics, Universit\u00e4t Bonn, Bonn, 53115, Germany", "organization": "Universit\u00e4t Bonn" } ], "surname": "M\u00fcller", "email": "f.mueller@hiskp.uni-bonn.de", "full_name": "M\u00fcller, Fabian", "given_names": "Fabian" }, { "affiliations": [ { "country": "China", "value": "College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China", "organization": "University of Shanghai for Science and Technology" } ], "surname": "Pang", "email": "jypang@usst.edu.cn", "full_name": "Pang, Jin-Yi", "given_names": "Jin-Yi" }, { "affiliations": [ { "country": "Germany", "value": "Helmholtz-Institut f\u00fcr Strahlen- und Kernphysik (Theorie), and Bethe Center for Theoretical Physics, Universit\u00e4t Bonn, Bonn, 53115, Germany", "organization": "Universit\u00e4t Bonn" }, { "country": "Georgia", "value": "Tbilisi State University, Tbilisi, 0186, Georgia", "organization": "Tbilisi State University" } ], "surname": "Rusetsky", "email": "rusetsky@hiskp.uni-bonn.de", "full_name": "Rusetsky, Akaki", "given_names": "Akaki" }, { "affiliations": [ { "country": "China", "value": "School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China", "organization": "University of Chinese Academy of Sciences" } ], "surname": "Wu", "email": "wujiajun@ucas.ac.cn", "full_name": "Wu, Jia-Jun", "given_names": "Jia-Jun" } ], "titles": [ { "source": "Springer", "title": "L\u00fcscher equation with long-range forces" } ], "dois": [ { "value": "10.1007/JHEP05(2024)168" } ], "publication_info": [ { "page_end": "28", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2024", "artid": "JHEP05(2024)168", "year": 2024, "page_start": "1", "journal_issue": "5" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-05-15T00:30:16.491874", "source": "Springer", "method": "Springer", "submission_number": "4383927e125211efaee6f6c28218b10c" }, "page_nr": [ 28 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2024" } ], "control_number": "85459", "record_creation_date": "2024-05-15T00:30:16.491892", "_files": [ { "checksum": "md5:d987df42fd460aba7b89627b5ad3c619", "filetype": "xml", "bucket": "670ca153-cfee-4f44-a0f6-ef71a41acf80", "version_id": "645bb307-d035-4972-82d8-78f56eaba953", "key": "10.1007/JHEP05(2024)168.xml", "size": 15448 }, { "checksum": "md5:01a147ebb16d1f127b4c55833974a43e", "filetype": "pdf/a", "bucket": "670ca153-cfee-4f44-a0f6-ef71a41acf80", "version_id": "a6206e1d-9d6d-4c2c-913a-fc61c20dbcec", "key": "10.1007/JHEP05(2024)168_a.pdf", "size": 488946 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-lat", "hep-ph", "nucl-th" ], "value": "2402.12985v2" } ], "abstracts": [ { "source": "Springer", "value": "We derive the modified L\u00fcscher equation in the presence of the long-range force caused by the exchange of a light particle. It is shown that the use of this equation enables one to circumvent the problems related to the strong partial-wave mixing and the t-channel sub-threshold singularities. It is also demonstrated that the present method is intrinsically linked to the so-called modified effective-range expansion (MERE) in the infinite volume. A detailed comparison with the two recently proposed alternative approaches is provided." } ], "imprints": [ { "date": "2024-05-14", "publisher": "Springer" } ] }