We report calculations of a wave-packet amplitude of the two-body scattering , which leads to the measured probability in realistic experiments. We elucidate the decay amplitude of from this. In such an amplitude of wave packets, there are in and out time boundaries for the initial and final configurations, respectively. In this paper, we prove that the effect of the in time boundary of emerges from without assuming any time boundary a priori. This effect has been overlooked in the standard plane-wave formulation and can exhibit distinct phenomena in wide areas of science. We confirm the result in different integration orders. The result is also interpreted as a Stokes phenomenon in the Lefschetz-thimble decomposition.
{ "_oai": { "updated": "2023-12-06T10:39:43Z", "id": "oai:repo.scoap3.org:81770", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Kenzo Ishikawa", "affiliations": [ { "country": "Japan", "value": "Department of Physics, Hokkaido University, Hokkaido 060-0810, Japan" }, { "country": "Japan", "value": "Research and Education Center for Natural Sciences, Keio University, Kanagawa 223-8521, Japan" } ], "surname": "Ishikawa", "given_names": "Kenzo", "full_name": "Ishikawa, Kenzo" }, { "raw_name": "Kenji Nishiwaki", "affiliations": [ { "country": "India", "value": "Department of Physics, Shiv Nadar Institution of Eminence, Gautam Buddha Nagar 201314, India" } ], "surname": "Nishiwaki", "given_names": "Kenji", "full_name": "Nishiwaki, Kenji" }, { "raw_name": "Kin-ya Oda", "affiliations": [ { "country": "Japan", "value": "Department of Physics, Osaka University, Osaka 560-0043, Japan" }, { "country": "Japan", "value": "Department of Mathematics, Tokyo Woman\u2019s Christian University, Tokyo 167-8585, Japan" } ], "surname": "Oda", "given_names": "Kin-ya", "full_name": "Oda, Kin-ya" } ], "titles": [ { "source": "APS", "title": "New effect in wave-packet scattering of quantum fields" } ], "dois": [ { "value": "10.1103/PhysRevD.108.096013" } ], "publication_info": [ { "journal_volume": "108", "journal_title": "Physical Review D", "material": "article", "journal_issue": "9", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-12-06T10:37:51.164709", "source": "APS", "method": "APS", "submission_number": "77407710942311eeb8f48e9c197d18e3" }, "page_nr": [ 19 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2023" } ], "control_number": "81770", "record_creation_date": "2023-12-06T10:37:51.164744", "_files": [ { "checksum": "md5:1800963004e841028a1701a0acf94fe7", "filetype": "pdf", "bucket": "50009a11-8716-45ac-a3b7-4d6325854aa5", "version_id": "f20eacb8-a6a0-49b3-a240-a122051638fa", "key": "10.1103/PhysRevD.108.096013.pdf", "size": 2543731 }, { "checksum": "md5:ab2b60cc220fc9248d278a7cd44b5c29", "filetype": "xml", "bucket": "50009a11-8716-45ac-a3b7-4d6325854aa5", "version_id": "fc819b1c-5c5b-45a4-8029-114ea32c74a7", "key": "10.1103/PhysRevD.108.096013.xml", "size": 538747 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "hep-ph" ], "value": "2102.12032" } ], "abstracts": [ { "source": "APS", "value": "We report calculations of a wave-packet amplitude of the two-body scattering <math><mi>\u03d5</mi><mi>\u03d5</mi><mo>\u2192</mo><mi>\u03a6</mi><mo>\u2192</mo><mi>\u03d5</mi><mi>\u03d5</mi></math>, which leads to the measured probability in realistic experiments. We elucidate the decay amplitude of <math><mi>\u03a6</mi><mo>\u2192</mo><mi>\u03d5</mi><mi>\u03d5</mi></math> from this. In such an amplitude of wave packets, there are in and out time boundaries for the initial <math><mi>\u03a6</mi></math> and final <math><mi>\u03d5</mi><mi>\u03d5</mi></math> configurations, respectively. In this paper, we prove that the effect of the in time boundary of <math><mi>\u03a6</mi><mo>\u2192</mo><mi>\u03d5</mi><mi>\u03d5</mi></math> emerges from <math><mi>\u03d5</mi><mi>\u03d5</mi><mo>\u2192</mo><mi>\u03a6</mi><mo>\u2192</mo><mi>\u03d5</mi><mi>\u03d5</mi></math> without assuming any time boundary a priori. This effect has been overlooked in the standard plane-wave formulation and can exhibit distinct phenomena in wide areas of science. We confirm the result in different integration orders. The result is also interpreted as a Stokes phenomenon in the Lefschetz-thimble decomposition." } ], "imprints": [ { "date": "2023-11-15", "publisher": "APS" } ] }