{"id":"https://openalex.org/W7220943166","doi":"https://doi.org/10.48550/arxiv.2610.08360","title":"Medium modification of pseudoscalar meson structure: Distribution amplitudes and parton distribution functions","display_name":"Medium modification of pseudoscalar meson structure: Distribution amplitudes and parton distribution functions","publication_year":2026,"publication_date":"2026-10-06","ids":{"openalex":"https://openalex.org/W7220943166","doi":"https://doi.org/10.48550/arxiv.2610.08360"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.08360","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08360","pdf_url":"https://arxiv.org/pdf/2610.08360","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.08360","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101648947","display_name":"Muhammad Ridwan","orcid":"https://orcid.org/0000-0002-2949-5866","observed_orcids":["https://orcid.org/0000-0002-2949-5866"]},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ridwan, Muhammad","raw_affiliation_strings":["Centre for Mathematical Sciences , University of Plymouth , Plymouth PL4 8AA , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences , University of Plymouth , Plymouth PL4 8AA , United Kingdom","institution_ids":["https://openalex.org/I897542642"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157953180","display_name":"Parada Tobel Paraduan Hutauruk","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]},{"id":"https://openalex.org/I4405286890","display_name":"International Institute for Sustainability with Knotted Chiral Meta Matter","ror":"https://ror.org/03fnczv53","country_code":"JP","type":"facility","lineage":["https://openalex.org/I113306721","https://openalex.org/I4405286890"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hutauruk, Parada Tobel Paraduan","raw_affiliation_strings":["International Institute for Sustainability with Knotted Chiral Meta Matter (WPI-SKCM 2 ) , Hiroshima University , Higashi-Hiroshima , Hiroshima 739-8526 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Institute for Sustainability with Knotted Chiral Meta Matter (WPI-SKCM 2 ) , Hiroshima University , Higashi-Hiroshima , Hiroshima 739-8526 , Japan","institution_ids":["https://openalex.org/I113306721","https://openalex.org/I4405286890"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082896371","display_name":"Ahmad Jafar Arifi","orcid":"https://orcid.org/0000-0002-9530-8993","observed_orcids":["https://orcid.org/0000-0002-9530-8993"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arifi, Ahmad Jafar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5082398034","display_name":"Kazuo Tsushima","orcid":"https://orcid.org/0000-0003-4926-1829","observed_orcids":["https://orcid.org/0000-0003-4926-1829"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tsushima, Kazuo","raw_affiliation_strings":["Laborat\u00f3rio de F\u00edsica Te\u00f3rica e Computacional-LFTC ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio de F\u00edsica Te\u00f3rica e Computacional-LFTC ,","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9765999913215637,"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":0.9765999913215637,"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":0.012600000016391277,"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/T10093","display_name":"Nuclear physics research studies","score":0.004399999976158142,"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/pseudoscalar-mesons","display_name":"pseudoscalar mesons","score":0.9160000085830688},{"id":"https://openalex.org/keywords/distribution-amplitudes","display_name":"distribution amplitudes","score":0.902999997138977},{"id":"https://openalex.org/keywords/parton-distribution-functions","display_name":"parton distribution functions","score":1.0},{"id":"https://openalex.org/keywords/light-front-quark-model","display_name":"light-front quark model","score":0.9539999961853027},{"id":"https://openalex.org/keywords/quark-meson-coupling-model","display_name":"quark-meson coupling model","score":0.9459999799728394},{"id":"https://openalex.org/keywords/nuclear-matter","display_name":"nuclear matter","score":0.7919999957084656},{"id":"https://openalex.org/keywords/pion-distribution-amplitude","display_name":"pion distribution amplitude","score":0.875},{"id":"https://openalex.org/keywords/emc-effect","display_name":"EMC effect","score":0.7459999918937683},{"id":"https://openalex.org/keywords/qcd-evolution","display_name":"QCD evolution","score":0.7149999737739563},{"id":"https://openalex.org/keywords/gaussian-wave-functions","display_name":"Gaussian wave functions","score":0.5910000205039978},{"id":"https://openalex.org/keywords/meson-wave-functions","display_name":"meson wave functions","score":0.4099999964237213}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9233999848365784},{"id":"https://openalex.org/C206094082","wikidata":"https://www.wikidata.org/wiki/Q4097","display_name":"Pion","level":2,"score":0.8248000144958496},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.7644000053405762},{"id":"https://openalex.org/C200006409","wikidata":"https://www.wikidata.org/wiki/Q102742","display_name":"Meson","level":2,"score":0.7348999977111816},{"id":"https://openalex.org/C180566339","wikidata":"https://www.wikidata.org/wiki/Q117483","display_name":"Parton","level":3,"score":0.7031999826431274},{"id":"https://openalex.org/C117137515","wikidata":"https://www.wikidata.org/wiki/Q238170","display_name":"Quantum chromodynamics","level":2,"score":0.5475999712944031},{"id":"https://openalex.org/C3909970","wikidata":"https://www.wikidata.org/wiki/Q6166044","display_name":"Lattice QCD","level":3,"score":0.5199000239372253},{"id":"https://openalex.org/C7602139","wikidata":"https://www.wikidata.org/wiki/Q6718","display_name":"Quark","level":2,"score":0.5152000188827515},{"id":"https://openalex.org/C101583263","wikidata":"https://www.wikidata.org/wiki/Q1748985","display_name":"Pseudoscalar","level":3,"score":0.49000000953674316},{"id":"https://openalex.org/C205334942","wikidata":"https://www.wikidata.org/wiki/Q3151","display_name":"Muon","level":2,"score":0.478300005197525},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.44429999589920044},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.42179998755455017},{"id":"https://openalex.org/C2780767871","wikidata":"https://www.wikidata.org/wiki/Q3642920","display_name":"Pseudoscalar meson","level":4,"score":0.38179999589920044},{"id":"https://openalex.org/C2776250685","wikidata":"https://www.wikidata.org/wiki/Q4375892","display_name":"QCD sum rules","level":3,"score":0.367000013589859},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.3625999987125397},{"id":"https://openalex.org/C165410206","wikidata":"https://www.wikidata.org/wiki/Q7068141","display_name":"Nuclear matter","level":3,"score":0.3458000123500824},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3407999873161316},{"id":"https://openalex.org/C176616139","wikidata":"https://www.wikidata.org/wiki/Q1890674","display_name":"Quark model","level":4,"score":0.33889999985694885},{"id":"https://openalex.org/C42238305","wikidata":"https://www.wikidata.org/wiki/Q5370778","display_name":"Lattice field theory","level":3,"score":0.32690000534057617},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3257000148296356},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.30880001187324524},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C2776249927","wikidata":"https://www.wikidata.org/wiki/Q1437700","display_name":"Form factor (electronics)","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C2778560529","wikidata":"https://www.wikidata.org/wiki/Q3705517","display_name":"Nuclear density","level":4,"score":0.2644999921321869},{"id":"https://openalex.org/C139455999","wikidata":"https://www.wikidata.org/wiki/Q771367","display_name":"Anomalous magnetic dipole moment","level":3,"score":0.26019999384880066},{"id":"https://openalex.org/C16090227","wikidata":"https://www.wikidata.org/wiki/Q376309","display_name":"QCD vacuum","level":4,"score":0.2583000063896179},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.25780001282691956}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.08360","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08360","pdf_url":"https://arxiv.org/pdf/2610.08360","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":"doi:10.48550/arxiv.2610.08360","doi":"https://doi.org/10.48550/arxiv.2610.08360","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.08360","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.08360","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08360","pdf_url":"https://arxiv.org/pdf/2610.08360","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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1014942273","display_name":null,"funder_award_id":"2023/07313-6","funder_id":"https://openalex.org/F4320327950","funder_display_name":"Instituto Nacional de Ci\u00eancia e Tecnologia: F\u00edsica Nuclear e Aplica\u00e7\u00f5es"},{"id":"https://openalex.org/G1610223953","display_name":null,"funder_award_id":"304199/2022-2","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2983579501","display_name":null,"funder_award_id":"PUTI Q1","funder_id":"https://openalex.org/F4320323819","funder_display_name":"Universitas Indonesia"},{"id":"https://openalex.org/G4174331362","display_name":null,"funder_award_id":"408419/2024-5","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G520277673","display_name":null,"funder_award_id":"408419/2024-5","funder_id":"https://openalex.org/F4320327950","funder_display_name":"Instituto Nacional de Ci\u00eancia e Tecnologia: F\u00edsica Nuclear e Aplica\u00e7\u00f5es"},{"id":"https://openalex.org/G5739563252","display_name":null,"funder_award_id":"PKS-206/UN2.RST/HKP.05.00/2025","funder_id":"https://openalex.org/F4320323819","funder_display_name":"Universitas Indonesia"},{"id":"https://openalex.org/G6535021478","display_name":null,"funder_award_id":"2023/07313-6","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G795700397","display_name":null,"funder_award_id":"RST/HKP.05.00/2025","funder_id":"https://openalex.org/F4320323819","funder_display_name":"Universitas Indonesia"},{"id":"https://openalex.org/G8124093306","display_name":null,"funder_award_id":"408419/2024-5","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G8788170181","display_name":null,"funder_award_id":"COREnet 057","funder_id":"https://openalex.org/F4320334980","funder_display_name":"Japan Atomic Energy Agency"}],"funders":[{"id":"https://openalex.org/F4320310636","display_name":"University of Regina","ror":"https://ror.org/03dzc0485"},{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320323819","display_name":"Universitas Indonesia","ror":"https://ror.org/0116zj450"},{"id":"https://openalex.org/F4320327950","display_name":"Instituto Nacional de Ci\u00eancia e Tecnologia: F\u00edsica Nuclear e Aplica\u00e7\u00f5es","ror":"https://ror.org/04qk9rk19"},{"id":"https://openalex.org/F4320334632","display_name":"Science and Technology Facilities Council","ror":"https://ror.org/057g20z61"},{"id":"https://openalex.org/F4320334980","display_name":"Japan Atomic Energy Agency","ror":"https://ror.org/05nf86y53"},{"id":"https://openalex.org/F4320337512","display_name":"Nuclear Physics","ror":"https://ror.org/02atag894"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220943166.pdf","grobid_xml":"https://content.openalex.org/works/W7220943166.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W1573409904","https://openalex.org/W1964280902","https://openalex.org/W1975166567","https://openalex.org/W1985635577","https://openalex.org/W2061376446","https://openalex.org/W2066244821","https://openalex.org/W2077347183","https://openalex.org/W2094544935","https://openalex.org/W2103675719","https://openalex.org/W2125205895","https://openalex.org/W2159500219","https://openalex.org/W2161398700","https://openalex.org/W2340418757","https://openalex.org/W2346611133","https://openalex.org/W2575443533","https://openalex.org/W2608242422","https://openalex.org/W2619313761","https://openalex.org/W2761553440","https://openalex.org/W2796244888","https://openalex.org/W2805045424","https://openalex.org/W2918259385","https://openalex.org/W2921664617","https://openalex.org/W2951679839","https://openalex.org/W2965004301","https://openalex.org/W2990169748","https://openalex.org/W3032291824","https://openalex.org/W3106198423","https://openalex.org/W3132858489","https://openalex.org/W3133061338","https://openalex.org/W3144539008","https://openalex.org/W3205996256","https://openalex.org/W4200633097","https://openalex.org/W4289709933","https://openalex.org/W4296823328","https://openalex.org/W4323364758","https://openalex.org/W4323865260","https://openalex.org/W4363671583","https://openalex.org/W4379880531","https://openalex.org/W4385303154","https://openalex.org/W4386256095","https://openalex.org/W4400414172","https://openalex.org/W4400682680","https://openalex.org/W4402231801","https://openalex.org/W4402824778","https://openalex.org/W4405187643","https://openalex.org/W4406326353","https://openalex.org/W4409217567","https://openalex.org/W4415309608","https://openalex.org/W4416949810","https://openalex.org/W4416967316","https://openalex.org/W4417211680","https://openalex.org/W4417440132","https://openalex.org/W7162804779","https://openalex.org/W7165570660","https://openalex.org/W7203899760"],"related_works":["https://openalex.org/W4379880531","https://openalex.org/W4409217567","https://openalex.org/W4410197956","https://openalex.org/W2761553440","https://openalex.org/W2287428261","https://openalex.org/W2314950897","https://openalex.org/W4402824778","https://openalex.org/W2555783746","https://openalex.org/W4404027089","https://openalex.org/W2346301875"],"abstract_inverted_index":{"In":[0,139],"this":[1],"work,":[2],"we":[3,232],"present":[4],"a":[5,49,177,206],"comprehensive":[6],"investigation":[7],"of":[8,15,54,57,70,109,122,145,222],"the":[9,19,39,45,61,84,102,110,115,119,123,141,146,168,188,194,211,219,227,234],"in-medium":[10,34,86],"properties":[11,36],"and":[12,27,65,74,89,107,118,125,181,199,238,247],"internal":[13],"structure":[14],"pseudoscalar":[16],"mesons":[17,76],"within":[18],"light-front":[20],"quark":[21,35,55],"model":[22,43],"(LFQM),":[23],"employing":[24],"both":[25],"Gaussian":[26,169],"power-law":[28],"(PL)":[29,170],"wave":[30,171],"functions.":[31],"We":[32,59,81,191],"incorporate":[33],"obtained":[37],"from":[38,155],"quark-meson":[40],"coupling":[41],"(QMC)":[42],"into":[44],"LFQM,":[46],"thereby":[47],"providing":[48],"unified":[50],"description":[51],"in":[52,77,127,158,187,225],"terms":[53],"degrees":[56],"freedom.":[58],"investigate":[60],"distribution":[62,67],"amplitudes":[63],"(DAs)":[64],"parton":[66],"functions":[68],"(PDFs)":[69],"$\u03c0^{\\pm}$,":[71],"$K^{\\pm}$,":[72],"$D^{\\pm}$,":[73],"$B^{\\pm}$":[75],"symmetric":[78],"nuclear":[79,128,153,165,189],"matter.":[80],"find":[82,200,248],"that":[83,201],"evolved":[85],"pion":[87,147,179,195],"DA":[88,180],"PDF":[90,196],"are":[91,130],"strongly":[92],"suppressed":[93],"at":[94,163],"intermediate":[95],"$x$,":[96],"indicating":[97],"substantial":[98],"medium-induced":[99],"modifications":[100],"to":[101,132,160,210],"meson":[103],"structure.":[104,230],"The":[105],"signs":[106],"magnitudes":[108],"modified":[111],"Gegenbauer":[112,143,185],"coefficients":[113],"$a_n'$,":[114],"parameter":[116],"$\u03be$,":[117],"Mellin":[120],"moments":[121],"DAs":[124,240],"PDFs":[126],"matter":[129],"found":[131],"be":[133],"consistent":[134],"with":[135,152,241],"other":[136],"theoretical":[137],"predictions.":[138],"particular,":[140],"second":[142,184],"coefficient":[144],"DA,":[148],"$a_2^\u03c0$,":[149],"increases":[150],"substantially":[151],"density,":[154],"$0.096$":[156],"($0.057$)":[157],"vacuum":[159],"$0.232$":[161],"($0.202$)":[162],"normal":[164],"density":[166],"for":[167],"function,":[172],"respectively.":[173],"This":[174],"increase":[175],"indicates":[176],"broader":[178],"an":[182],"enhanced":[183],"moment":[186],"medium.":[190],"further":[192],"calculate":[193],"ratio":[197],"$R_{\u03c1/0}^\u03c0$":[198],"its":[202],"$x$":[203],"dependence":[204],"exhibits":[205],"behavior":[207],"qualitatively":[208],"similar":[209],"observed":[212],"European":[213],"Muon":[214],"Collaboration":[215],"(EMC)":[216],"effect,":[217],"highlighting":[218],"important":[220],"role":[221],"QCD":[223,245],"evolution":[224],"shaping":[226],"medium-modified":[228],"partonic":[229],"Finally,":[231],"compare":[233],"calculated":[235],"free-space":[236,243],"$\u03c0^{\\pm}$":[237],"$K^{\\pm}$":[239],"available":[242],"lattice":[244],"results":[246],"reasonable":[249],"agreement.":[250]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-09T00:00:00"}
