We study the nature of the scalar meson from the viewpoint of chiral symmetry. With the linear representation of chiral symmetry, we construct the scattering amplitude satisfying the chiral low-energy theorem, in which the meson appears as an -wave resonance. We show that the properties of the meson can be successfully reproduced as the chiral partner of the meson coupled with the scattering states. At the same time, we find that the spectral function and the pole position of are not very sensitive to the reduction of the chiral condensate, indicating the importance of the dressing of the bare state by the molecular component.
{ "_oai": { "updated": "2021-08-28T16:32:43Z", "id": "oai:repo.scoap3.org:47906", "sets": [ "PRC" ] }, "authors": [ { "raw_name": "Takumi Sugiura", "affiliations": [ { "country": "Japan", "value": "Department of Physics, Kyoto University, Kyoto 606-8502, Japan" } ], "surname": "Sugiura", "given_names": "Takumi", "full_name": "Sugiura, Takumi" }, { "raw_name": "Tetsuo Hyodo", "affiliations": [ { "country": "Japan", "value": "Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan" } ], "surname": "Hyodo", "given_names": "Tetsuo", "full_name": "Hyodo, Tetsuo" } ], "titles": [ { "source": "APS", "title": "Nature of the <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> meson in <math><mrow><mi>D</mi><mi>\u03c0</mi></mrow></math> scattering with chiral symmetry" } ], "dois": [ { "value": "10.1103/PhysRevC.99.065201" } ], "publication_info": [ { "journal_volume": "99", "journal_title": "Physical Review C", "material": "article", "journal_issue": "6", "year": 2019 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-08-25T10:37:26.389892", "source": "APS", "method": "APS", "submission_number": "810b323c058f11ecb53772fd3742099d" }, "page_nr": [ 7 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2019" } ], "control_number": "47906", "record_creation_date": "2019-06-11T18:30:05.199678", "_files": [ { "checksum": "md5:aab5af5237c88138315b6ec752de4427", "filetype": "pdf", "bucket": "26c7795b-946f-451b-adb9-66db32ea616b", "version_id": "dfaebcfb-2ff5-4658-b1ee-872f67ca0ae1", "key": "10.1103/PhysRevC.99.065201.pdf", "size": 307763 }, { "checksum": "md5:d94be6f885eb33e0d92ea7bce2b0b23f", "filetype": "xml", "bucket": "26c7795b-946f-451b-adb9-66db32ea616b", "version_id": "bd1515cd-0b5d-4b3b-81b1-720674b098f4", "key": "10.1103/PhysRevC.99.065201.xml", "size": 141142 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "nucl-th" ], "value": "1904.00589" } ], "abstracts": [ { "source": "APS", "value": "We study the nature of the scalar <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> meson from the viewpoint of chiral symmetry. With the linear representation of chiral symmetry, we construct the <math><mrow><mi>D</mi><mi>\u03c0</mi></mrow></math> scattering amplitude satisfying the chiral low-energy theorem, in which the <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> meson appears as an <math><mi>s</mi></math>-wave resonance. We show that the properties of the <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> meson can be successfully reproduced as the chiral partner of the <math><mi>D</mi></math> meson coupled with the <math><mrow><mi>D</mi><mi>\u03c0</mi></mrow></math> scattering states. At the same time, we find that the spectral function and the pole position of <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> are not very sensitive to the reduction of the chiral condensate, indicating the importance of the dressing of the bare state by the <math><mrow><mi>D</mi><mi>\u03c0</mi></mrow></math> molecular component." } ], "imprints": [ { "date": "2019-06-11", "publisher": "APS" } ] }