{"title":"关于-耦合的反常阈值增强和峰值的讨论* * 部分受国家自然科学基金资助（12335002）。这项工作也得到了中央高校基本科研业务费的支持。","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":"{\"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}","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
摘要
如果 X(6900) 属于分子类型，那么和之间的吸引力相互作用必须足够强。我们认为，由于衰变主要是变成一对，和之间的相互作用可能会由于三点环图而显著增强。这种增强源于位于 GeV 的反常阈值，其效应会传播到 GeV 附近的 s 沟道部分波幅。这种效应可能有助于峰值的形成。
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
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.
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