{"id":"https://openalex.org/W4417465490","doi":"https://doi.org/10.1140/epja/s10050-026-01953-x","title":"Symmetry-preserving calculation of pion light-front wave functions","display_name":"Symmetry-preserving calculation of pion light-front wave functions","publication_year":2026,"publication_date":"2026-09-23","ids":{"openalex":"https://openalex.org/W4417465490","doi":"https://doi.org/10.1140/epja/s10050-026-01953-x"},"language":"en","primary_location":{"id":"doi:10.1140/epja/s10050-026-01953-x","doi":"https://doi.org/10.1140/epja/s10050-026-01953-x","is_oa":false,"landing_page_url":"https://doi.org/10.1140/epja/s10050-026-01953-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210173186","display_name":"The European Physical Journal A","issn_l":"1434-6001","issn":["1434-6001","1434-601X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal A","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2512.13938","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064302159","display_name":"Zhao-Qian Yao","orcid":"https://orcid.org/0000-0002-9621-6994","observed_orcids":["https://orcid.org/0000-0002-9621-6994"]},"institutions":[{"id":"https://openalex.org/I2801798921","display_name":"Helmholtz-Zentrum Dresden-Rossendorf","ror":"https://ror.org/01zy2cs03","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2801798921"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Z.-Q. Yao","raw_affiliation_strings":["Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstra\u00dfe 400, 01328, Dresden, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9621-6994","affiliations":[{"raw_affiliation_string":"Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstra\u00dfe 400, 01328, Dresden, Germany","institution_ids":["https://openalex.org/I2801798921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019516386","display_name":"Zhen-Ni Xu","orcid":"https://orcid.org/0000-0002-9104-9680","observed_orcids":["https://orcid.org/0000-0002-9104-9680"]},"institutions":[{"id":"https://openalex.org/I78880903","display_name":"Universidad de Huelva","ror":"https://ror.org/03a1kt624","country_code":"ES","type":"education","lineage":["https://openalex.org/I78880903"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Z.-N. Xu","raw_affiliation_strings":["Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, 21071, Huelva, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9104-9680","affiliations":[{"raw_affiliation_string":"Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, 21071, Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011446257","display_name":"Y. L. Xiao","orcid":"https://orcid.org/0000-0002-4879-209X","observed_orcids":["https://orcid.org/0000-0002-4879-209X","https://orcid.org/0009-0007-2825-3025","https://orcid.org/0009-0006-1963-7388","https://orcid.org/0009-0001-6243-5398"]},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Y.-Y. Xiao","raw_affiliation_strings":["Institute for Nonperturbative Physics, Nanjing University, Nanjing, 210093, Jiangsu, China","School of Physics, Nanjing University, Nanjing, 210093, Jiangsu, China"],"raw_orcid":"https://orcid.org/0009-0006-1963-7388","affiliations":[{"raw_affiliation_string":"Institute for Nonperturbative Physics, Nanjing University, Nanjing, 210093, Jiangsu, China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"School of Physics, Nanjing University, Nanjing, 210093, Jiangsu, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008862777","display_name":"Craig D. Roberts","orcid":"https://orcid.org/0000-0002-2937-1361","observed_orcids":["https://orcid.org/0000-0002-2937-1361"]},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"C. D. Roberts","raw_affiliation_strings":["Institute for Nonperturbative Physics, Nanjing University, Nanjing, 210093, Jiangsu, China","School of Physics, Nanjing University, Nanjing, 210093, Jiangsu, China"],"raw_orcid":"https://orcid.org/0000-0002-2937-1361","affiliations":[{"raw_affiliation_string":"Institute for Nonperturbative Physics, Nanjing University, Nanjing, 210093, Jiangsu, China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"School of Physics, Nanjing University, Nanjing, 210093, Jiangsu, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044644974","display_name":"Jos\u00e9 Rodr\u00edguez-Quintero","orcid":"https://orcid.org/0000-0002-1651-5717","observed_orcids":["https://orcid.org/0000-0002-1651-5717"]},"institutions":[{"id":"https://openalex.org/I78880903","display_name":"Universidad de Huelva","ror":"https://ror.org/03a1kt624","country_code":"ES","type":"education","lineage":["https://openalex.org/I78880903"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Rodr\u00edguez-Quintero","raw_affiliation_strings":["Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, 21071, Huelva, Spain"],"raw_orcid":"https://orcid.org/0000-0002-1651-5717","affiliations":[{"raw_affiliation_string":"Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, 21071, Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008862777"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":{"value":3990,"currency":"USD","value_usd":3990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05042674,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":"9","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10527","display_name":"High-Energy Particle Collisions Research","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bethe-salpeter-equation","display_name":"Bethe-Salpeter equation","score":0.8330000042915344},{"id":"https://openalex.org/keywords/poincare-covariance","display_name":"Poincar\u00e9 covariance","score":0.8379999995231628},{"id":"https://openalex.org/keywords/higgs-couplings","display_name":"Higgs couplings","score":0.8790000081062317},{"id":"https://openalex.org/keywords/transverse-momentum-dependent-parton-distributions","display_name":"transverse momentum dependent distributions","score":0.9459999799728394},{"id":"https://openalex.org/keywords/gaussian-ansatz","display_name":"Gaussian ansatz","score":0.828000009059906}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6725999712944031},{"id":"https://openalex.org/C168900304","wikidata":"https://www.wikidata.org/wiki/Q171407","display_name":"Valence (chemistry)","level":2,"score":0.6654999852180481},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6554999947547913},{"id":"https://openalex.org/C206094082","wikidata":"https://www.wikidata.org/wiki/Q4097","display_name":"Pion","level":2,"score":0.5957000255584717},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5098999738693237},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.4805999994277954},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.45840001106262207},{"id":"https://openalex.org/C101583263","wikidata":"https://www.wikidata.org/wiki/Q1748985","display_name":"Pseudoscalar","level":3,"score":0.38909998536109924},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3804999887943268},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.37940001487731934},{"id":"https://openalex.org/C19694890","wikidata":"https://www.wikidata.org/wiki/Q101667","display_name":"Hadron","level":2,"score":0.367000013589859},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.3617999851703644},{"id":"https://openalex.org/C27156116","wikidata":"https://www.wikidata.org/wiki/Q1778098","display_name":"Pointwise convergence","level":3,"score":0.32710000872612},{"id":"https://openalex.org/C180566339","wikidata":"https://www.wikidata.org/wiki/Q117483","display_name":"Parton","level":3,"score":0.3206000030040741},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.31790000200271606},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.3059000074863434},{"id":"https://openalex.org/C151987854","wikidata":"https://www.wikidata.org/wiki/Q1097654","display_name":"Invariant mass","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2538999915122986}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1140/epja/s10050-026-01953-x","doi":"https://doi.org/10.1140/epja/s10050-026-01953-x","is_oa":false,"landing_page_url":"https://doi.org/10.1140/epja/s10050-026-01953-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210173186","display_name":"The European Physical Journal A","issn_l":"1434-6001","issn":["1434-6001","1434-601X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal A","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2512.13938","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2512.13938","pdf_url":"https://arxiv.org/pdf/2512.13938","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:edpsciences.org:dkey/10.1140/epja/s10050-026-01953-x","doi":null,"is_oa":false,"landing_page_url":"http://www.springerlink.com/content/fulltext.pdf?id=doi:10.1140/epja/s10050-026-01953-x","pdf_url":"http://www.springerlink.com/content/fulltext.pdf?id=doi:10.1140/epja/s10050-026-01953-x","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1140/epja/s10050-026-01953-x","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2512.13938","doi":"https://doi.org/10.48550/arxiv.2512.13938","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.13938","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2512.13938","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2512.13938","pdf_url":"https://arxiv.org/pdf/2512.13938","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2808239506","https://openalex.org/W1984843438","https://openalex.org/W3098316124","https://openalex.org/W4221165113","https://openalex.org/W4224999465","https://openalex.org/W2788803228","https://openalex.org/W3194733086","https://openalex.org/W2037644694","https://openalex.org/W2147066390","https://openalex.org/W7166671415"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-22T09:42:04.148104","created_date":"2025-12-18T00:00:00"}