Xing-Dao Guo, Dian-Yong Chen, Xue-Qian Li, Zhong-Yuan Yuan, Shijing Sang
{"title":"J/ψ和ρ-π之谜中的分子成分* * 国家自然科学基金（11805160、11747040、11675082）和2021年江苏省青蓝工程项目资助","authors":"Xing-Dao Guo, Dian-Yong Chen, Xue-Qian Li, Zhong-Yuan Yuan, Shijing Sang","doi":"10.1088/1674-1137/ad2a65","DOIUrl":null,"url":null,"abstract":"Motivated by the large branching fractions of <inline-formula>\n<tex-math><?CDATA $ J/\\psi \\to f_0 (1710) \\omega/f_0(1710) \\phi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M1.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and the light exotic candidates, we found that there may exist molecular states composed of <inline-formula>\n<tex-math><?CDATA $ f_0(1710) \\omega $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M2.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $ f_0 (1710) \\phi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M3.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, which correspond to <inline-formula>\n<tex-math><?CDATA $ X(2440) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M4.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $ X(2680) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M5.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> observed a few decades ago. The branching fractions of <inline-formula>\n<tex-math><?CDATA $ X(2440) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M6.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $ X(2680) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M7.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>to various <inline-formula>\n<tex-math><?CDATA $ PV $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M8.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $ KK\\omega(\\phi) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M9.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> channels were estimated in the molecular scenario. In addition, the large branching fractions of <inline-formula>\n<tex-math><?CDATA $ J/\\psi \\to f_0 (1710) \\omega/f_0(1710) \\phi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M10.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> indicate sizable molecular components in the <inline-formula>\n<tex-math><?CDATA $ J/\\psi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M11.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> state. Thus, we consider <inline-formula>\n<tex-math><?CDATA $ J/\\psi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M12.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>as the superposition of the<inline-formula>\n<tex-math><?CDATA $ c\\bar{c}(1S) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M13.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, <inline-formula>\n<tex-math><?CDATA $ f_0(1710) \\omega $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M14.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, and <inline-formula>\n<tex-math><?CDATA $ f_0 (1710) \\phi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M15.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> molecular states. These molecular components have a significant impact on the light hadron decays of <inline-formula>\n<tex-math><?CDATA $ J/\\psi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M16.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, which may elucidate the long standing <inline-formula>\n<tex-math><?CDATA $ \\rho-\\pi $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053110_M17.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> puzzle.","PeriodicalId":10250,"journal":{"name":"中国物理C","volume":"19 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Molecular components in J/ψ and ρ-π puzzle* * Supported by National Natural Science Foundation of China (11805160, 11747040, 11675082) and Qinglan Project of Jiangsu Province in 2021\",\"authors\":\"Xing-Dao Guo, Dian-Yong Chen, Xue-Qian Li, Zhong-Yuan Yuan, Shijing Sang\",\"doi\":\"10.1088/1674-1137/ad2a65\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Motivated by the large branching fractions of <inline-formula>\\n<tex-math><?CDATA $ J/\\\\psi \\\\to f_0 (1710) \\\\omega/f_0(1710) \\\\phi $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M1.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> and the light exotic candidates, we found that there may exist molecular states composed of <inline-formula>\\n<tex-math><?CDATA $ f_0(1710) \\\\omega $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M2.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> and <inline-formula>\\n<tex-math><?CDATA $ f_0 (1710) \\\\phi $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M3.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, which correspond to <inline-formula>\\n<tex-math><?CDATA $ X(2440) $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M4.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> and <inline-formula>\\n<tex-math><?CDATA $ X(2680) $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M5.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> observed a few decades ago. The branching fractions of <inline-formula>\\n<tex-math><?CDATA $ X(2440) $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M6.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> and <inline-formula>\\n<tex-math><?CDATA $ X(2680) $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M7.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>to various <inline-formula>\\n<tex-math><?CDATA $ PV $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M8.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> and <inline-formula>\\n<tex-math><?CDATA $ KK\\\\omega(\\\\phi) $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M9.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> channels were estimated in the molecular scenario. In addition, the large branching fractions of <inline-formula>\\n<tex-math><?CDATA $ J/\\\\psi \\\\to f_0 (1710) \\\\omega/f_0(1710) \\\\phi $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M10.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> indicate sizable molecular components in the <inline-formula>\\n<tex-math><?CDATA $ J/\\\\psi $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M11.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> state. Thus, we consider <inline-formula>\\n<tex-math><?CDATA $ J/\\\\psi $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M12.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>as the superposition of the<inline-formula>\\n<tex-math><?CDATA $ c\\\\bar{c}(1S) $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M13.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, <inline-formula>\\n<tex-math><?CDATA $ f_0(1710) \\\\omega $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M14.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, and <inline-formula>\\n<tex-math><?CDATA $ f_0 (1710) \\\\phi $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M15.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> molecular states. These molecular components have a significant impact on the light hadron decays of <inline-formula>\\n<tex-math><?CDATA $ J/\\\\psi $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M16.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, which may elucidate the long standing <inline-formula>\\n<tex-math><?CDATA $ \\\\rho-\\\\pi $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_5_053110_M17.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> puzzle.\",\"PeriodicalId\":10250,\"journal\":{\"name\":\"中国物理C\",\"volume\":\"19 1\",\"pages\":\"\"},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2024-05-01\",\"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/ad2a65\",\"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/ad2a65","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}
Molecular components in J/ψ and ρ-π puzzle* * Supported by National Natural Science Foundation of China (11805160, 11747040, 11675082) and Qinglan Project of Jiangsu Province in 2021
Motivated by the large branching fractions of and the light exotic candidates, we found that there may exist molecular states composed of and , which correspond to and observed a few decades ago. The branching fractions of and to various and channels were estimated in the molecular scenario. In addition, the large branching fractions of indicate sizable molecular components in the state. Thus, we consider as the superposition of the, , and molecular states. These molecular components have a significant impact on the light hadron decays of , which may elucidate the long standing puzzle.
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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