A discussion on the anomalous threshold enhancement of – couplings and peak* * Supported in part by the National Nature Science Foundations of China (12335002). This work is also supported by the Fundamental Research Funds for the Central Universities
{"title":"A discussion on the anomalous threshold enhancement of – couplings and peak* * Supported in part by the National Nature Science Foundations of China (12335002). This work is also supported by the Fundamental Research Funds for the Central Universities","authors":"Ye Lu, Chang Chen, Guang-You Qin, Han-Qing Zheng","doi":"10.1088/1674-1137/ad2361","DOIUrl":null,"url":null,"abstract":"The attractive interaction between <inline-formula>\n<tex-math><?CDATA $ J/\\psi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M4.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $ \\psi(3770) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M5.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> has to be strong enough if X(6900) is of the molecule type. We argue that since <inline-formula>\n<tex-math><?CDATA $ \\psi(3770) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M6.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> decays predominantly into a <inline-formula>\n<tex-math><?CDATA $ D\\bar D $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M7.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> pair, the interactions between <inline-formula>\n<tex-math><?CDATA $ J/\\psi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M8.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $ \\psi(3770) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M9.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> may be significantly enhanced owing to the three point <inline-formula>\n<tex-math><?CDATA $ D\\bar D $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M10.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> loop diagram. The enhancement originates from the anomalous threshold located at <inline-formula>\n<tex-math><?CDATA $ t=-1.288 $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M11.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> GeV<inline-formula>\n<tex-math><?CDATA $ ^2 $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M12.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, whose effect propagates into the <italic toggle=\"yes\">s</italic>-channel partial wave amplitude in the vicinity of <inline-formula>\n<tex-math><?CDATA $ \\sqrt{s}\\simeq 6.94 $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M13.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> GeV. This effect may be helpful in the formation of the <inline-formula>\n<tex-math><?CDATA $ X(6900) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_041001_M14.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> peak.","PeriodicalId":10250,"journal":{"name":"中国物理C","volume":"7 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"中国物理C","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1674-1137/ad2361","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
Abstract
The attractive interaction between and has to be strong enough if X(6900) is of the molecule type. We argue that since decays predominantly into a pair, the interactions between and may be significantly enhanced owing to the three point loop diagram. The enhancement originates from the anomalous threshold located at GeV, whose effect propagates into the s-channel partial wave amplitude in the vicinity of GeV. This effect may be helpful in the formation of the peak.
期刊介绍:
Chinese Physics C covers the latest developments and achievements in the theory, experiment and applications of:
Particle physics;
Nuclear physics;
Particle and nuclear astrophysics;
Cosmology;
Accelerator physics.
The journal publishes original research papers, letters and reviews. The Letters section covers short reports on the latest important scientific results, published as quickly as possible. Such breakthrough research articles are a high priority for publication.
The Editorial Board is composed of about fifty distinguished physicists, who are responsible for the review of submitted papers and who ensure the scientific quality of the journal.
The journal has been awarded the Chinese Academy of Sciences ‘Excellent Journal’ award multiple times, and is recognized as one of China''s top one hundred key scientific periodicals by the General Administration of News and Publications.