The pion scalar, vector, and tensor form factors are calculated within a symmetry-preserving contact interaction model (CI) of quantum chromodynamics (QCD), encompassed within a Dyson-Schwinger and Bethe-Salpeter equations approach. In addition to the traditional rainbow-ladder truncation, a modified interaction kernel for the Bethe-Salpeter equation is adopted. The implemented kernel preserves the vector and axial-vector Ward-Takahashi identities, while also providing additional freedom. Consequently, new tensor structures are generated in the corresponding interaction vertices, shifting the location of the mass poles appearing in the quark-photon and quark tensor vertex and yielding a notorious improvement in the final results. Despite the simplicity of the CI, the computed form factors and radii are compatible with recent lattice QCD simulations.
{ "_oai": { "updated": "2022-09-16T00:30:10Z", "id": "oai:repo.scoap3.org:72697", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Xiaobin Wang", "affiliations": [ { "country": "China", "value": "School of Physics, Nankai University, Tianjin 300071, China" } ], "surname": "Wang", "given_names": "Xiaobin", "full_name": "Wang, Xiaobin" }, { "raw_name": "Zanbin Xing", "affiliations": [ { "country": "China", "value": "School of Physics, Nankai University, Tianjin 300071, China" } ], "surname": "Xing", "given_names": "Zanbin", "full_name": "Xing, Zanbin" }, { "raw_name": "Jiayin Kang", "affiliations": [ { "country": "China", "value": "School of Physics, Nankai University, Tianjin 300071, China" } ], "surname": "Kang", "given_names": "Jiayin", "full_name": "Kang, Jiayin" }, { "raw_name": "Kh\u00e9pani Raya", "affiliations": [ { "country": "Spain", "value": "Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, E-21071 Huelva, Spain" } ], "surname": "Raya", "given_names": "Kh\u00e9pani", "full_name": "Raya, Kh\u00e9pani" }, { "raw_name": "Lei Chang", "affiliations": [ { "country": "China", "value": "School of Physics, Nankai University, Tianjin 300071, China" } ], "surname": "Chang", "given_names": "Lei", "full_name": "Chang, Lei" } ], "titles": [ { "source": "APS", "title": "Pion scalar, vector, and tensor form factors from a contact interaction" } ], "dois": [ { "value": "10.1103/PhysRevD.106.054016" } ], "publication_info": [ { "journal_volume": "106", "journal_title": "Physical Review D", "material": "article", "journal_issue": "5", "year": 2022 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-09-16T00:30:03.211920", "source": "APS", "method": "APS", "submission_number": "b2c3d318355611ed91f9a2b26b995c7b" }, "page_nr": [ 11 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2022" } ], "control_number": "72697", "record_creation_date": "2022-09-15T14:30:03.294970", "_files": [ { "checksum": "md5:8e1de6301827d9ecd01d4f65ef9f4200", "filetype": "pdf", "bucket": "965c7d9e-75a6-48c1-8a29-0b6894703ff0", "version_id": "a11eb6a1-5f9f-46ce-b53f-bb63fac33439", "key": "10.1103/PhysRevD.106.054016.pdf", "size": 640872 }, { "checksum": "md5:a49c1bc498e17d0176263cdee48d4559", "filetype": "xml", "bucket": "965c7d9e-75a6-48c1-8a29-0b6894703ff0", "version_id": "9c9012dd-20b1-4b0d-83fa-1592d00baa56", "key": "10.1103/PhysRevD.106.054016.xml", "size": 230190 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-lat", "nucl-th" ], "value": "2207.04339" } ], "abstracts": [ { "source": "APS", "value": "The pion scalar, vector, and tensor form factors are calculated within a symmetry-preserving contact interaction model (CI) of quantum chromodynamics (QCD), encompassed within a Dyson-Schwinger and Bethe-Salpeter equations approach. In addition to the traditional rainbow-ladder truncation, a modified interaction kernel for the Bethe-Salpeter equation is adopted. The implemented kernel preserves the vector and axial-vector Ward-Takahashi identities, while also providing additional freedom. Consequently, new tensor structures are generated in the corresponding interaction vertices, shifting the location of the mass poles appearing in the quark-photon and quark tensor vertex and yielding a notorious improvement in the final results. Despite the simplicity of the CI, the computed form factors and radii are compatible with recent lattice QCD simulations." } ], "imprints": [ { "date": "2022-09-15", "publisher": "APS" } ] }