短程动力学在D(*)D¯(*)和B(*)B¯(*)强子分子形成中的作用

IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy
Nijiati Yalikun, Xiang-Kun Dong, Ulf-G. Meißner
{"title":"短程动力学在D(*)D¯(*)和B(*)B¯(*)强子分子形成中的作用","authors":"Nijiati Yalikun, Xiang-Kun Dong, Ulf-G. Meißner","doi":"10.1103/physrevd.111.094036","DOIUrl":null,"url":null,"abstract":"We investigate potential hadronic molecular states in the D</a:mi>(</a:mo>*</a:mo>)</a:mo></a:mrow></a:msup>D</a:mi>¯</a:mo></a:mover>(</a:mo>*</a:mo>)</a:mo></a:mrow></a:msup></a:math> and <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:mrow><i:msup><i:mrow><i:mi>B</i:mi></i:mrow><i:mrow><i:mo stretchy=\"false\">(</i:mo><i:mo>*</i:mo><i:mo stretchy=\"false\">)</i:mo></i:mrow></i:msup><i:msup><i:mrow><i:mover accent=\"true\"><i:mrow><i:mi>B</i:mi></i:mrow><i:mrow><i:mo stretchy=\"false\">¯</i:mo></i:mrow></i:mover></i:mrow><i:mrow><i:mo>*</i:mo></i:mrow></i:msup></i:mrow></i:math> systems using light meson exchange interactions. Our analysis focuses on coupled-channel systems with spin-parity quantum numbers <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:msup><o:mi>J</o:mi><o:mrow><o:mi>P</o:mi><o:mi>C</o:mi></o:mrow></o:msup><o:mo>=</o:mo><o:msup><o:mn>0</o:mn><o:mrow><o:mo>+</o:mo><o:mo>+</o:mo></o:mrow></o:msup></o:math>, <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:msup><q:mn>1</q:mn><q:mrow><q:mo>+</q:mo><q:mo>±</q:mo></q:mrow></q:msup></q:math>, and <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:msup><s:mn>2</s:mn><s:mrow><s:mo>+</s:mo><s:mo>+</s:mo></s:mrow></s:msup></s:math>, examining how the <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:mi>δ</u:mi><u:mo stretchy=\"false\">(</u:mo><u:mi mathvariant=\"bold-italic\">r</u:mi><u:mo stretchy=\"false\">)</u:mo></u:math> potential affects states near threshold. Using coupled-channel analysis, we reproduce the <z:math xmlns:z=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><z:mi>X</z:mi><z:mo stretchy=\"false\">(</z:mo><z:mn>3872</z:mn><z:mo stretchy=\"false\">)</z:mo></z:math> mass with a given cutoff for the <db:math xmlns:db=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><db:mo stretchy=\"false\">(</db:mo><db:mi>I</db:mi><db:mo stretchy=\"false\">)</db:mo><db:msup><db:mi>J</db:mi><db:mrow><db:mi>P</db:mi><db:mi>C</db:mi></db:mrow></db:msup><db:mo>=</db:mo><db:mo stretchy=\"false\">(</db:mo><db:mn>0</db:mn><db:mo stretchy=\"false\">)</db:mo><db:msup><db:mn>1</db:mn><db:mrow><db:mo>+</db:mo><db:mo>+</db:mo></db:mrow></db:msup></db:math> state, finding a minimal impact from the <jb:math xmlns:jb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><jb:mi>δ</jb:mi><jb:mo stretchy=\"false\">(</jb:mo><jb:mi mathvariant=\"bold-italic\">r</jb:mi><jb:mo stretchy=\"false\">)</jb:mo></jb:math> term. At this cutoff, both the <ob:math xmlns:ob=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ob:mo stretchy=\"false\">(</ob:mo><ob:mn>0</ob:mn><ob:mo stretchy=\"false\">)</ob:mo><ob:msup><ob:mn>0</ob:mn><ob:mrow><ob:mo>+</ob:mo><ob:mo>+</ob:mo></ob:mrow></ob:msup></ob:math> state near the <sb:math xmlns:sb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><sb:mi>D</sb:mi><sb:mover accent=\"true\"><sb:mi>D</sb:mi><sb:mo stretchy=\"false\">¯</sb:mo></sb:mover></sb:math> threshold and the <wb:math xmlns:wb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><wb:mo stretchy=\"false\">(</wb:mo><wb:mn>0</wb:mn><wb:mo stretchy=\"false\">)</wb:mo><wb:msup><wb:mn>1</wb:mn><wb:mrow><wb:mo>+</wb:mo><wb:mo>−</wb:mo></wb:mrow></wb:msup></wb:math> state near the D</ac:mi>D</ac:mi>¯</ac:mo></ac:mover>*</ac:mo></ac:msup></ac:math> threshold show less sensitivity to the <ec:math xmlns:ec=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ec:mi>δ</ec:mi><ec:mo stretchy=\"false\">(</ec:mo><ec:mi mathvariant=\"bold-italic\">r</ec:mi><ec:mo stretchy=\"false\">)</ec:mo></ec:math> term compared to the three states–<jc:math xmlns:jc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><jc:mo stretchy=\"false\">(</jc:mo><jc:mn>0</jc:mn><jc:mo stretchy=\"false\">)</jc:mo><jc:msup><jc:mn>0</jc:mn><jc:mrow><jc:mo>+</jc:mo><jc:mo>+</jc:mo></jc:mrow></jc:msup></jc:math>, <nc:math xmlns:nc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><nc:mo stretchy=\"false\">(</nc:mo><nc:mn>0</nc:mn><nc:mo stretchy=\"false\">)</nc:mo><nc:msup><nc:mn>1</nc:mn><nc:mrow><nc:mo>+</nc:mo><nc:mo>−</nc:mo></nc:mrow></nc:msup></nc:math>, and <rc:math xmlns:rc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><rc:mo stretchy=\"false\">(</rc:mo><rc:mn>0</rc:mn><rc:mo stretchy=\"false\">)</rc:mo><rc:msup><rc:mn>2</rc:mn><rc:mrow><rc:mo>+</rc:mo><rc:mo>+</rc:mo></rc:mrow></rc:msup></rc:math>–near the <vc:math xmlns:vc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><vc:msup><vc:mi>D</vc:mi><vc:mo>*</vc:mo></vc:msup><vc:msup><vc:mover accent=\"true\"><vc:mi>D</vc:mi><vc:mo stretchy=\"false\">¯</vc:mo></vc:mover><vc:mo>*</vc:mo></vc:msup></vc:math> threshold. As anticipated, the <zc:math xmlns:zc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><zc:msup><zc:mi>B</zc:mi><zc:mrow><zc:mo stretchy=\"false\">(</zc:mo><zc:mo>*</zc:mo><zc:mo stretchy=\"false\">)</zc:mo></zc:mrow></zc:msup><zc:msup><zc:mover accent=\"true\"><zc:mi>B</zc:mi><zc:mo stretchy=\"false\">¯</zc:mo></zc:mover><zc:mo>*</zc:mo></zc:msup></zc:math> systems exhibit similar behavior but with stronger binding due to their larger reduced mass. These findings suggest promising directions for future experimental searches, particularly in the isoscalar sector, which could substantially advance our understanding of exotic tetraquark states. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"35 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Role of the short-range dynamics in the formation of D(*)D¯(*) and B(*)B¯(*) hadronic molecules\",\"authors\":\"Nijiati Yalikun, Xiang-Kun Dong, Ulf-G. Meißner\",\"doi\":\"10.1103/physrevd.111.094036\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate potential hadronic molecular states in the D</a:mi>(</a:mo>*</a:mo>)</a:mo></a:mrow></a:msup>D</a:mi>¯</a:mo></a:mover>(</a:mo>*</a:mo>)</a:mo></a:mrow></a:msup></a:math> and <i:math xmlns:i=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><i:mrow><i:msup><i:mrow><i:mi>B</i:mi></i:mrow><i:mrow><i:mo stretchy=\\\"false\\\">(</i:mo><i:mo>*</i:mo><i:mo stretchy=\\\"false\\\">)</i:mo></i:mrow></i:msup><i:msup><i:mrow><i:mover accent=\\\"true\\\"><i:mrow><i:mi>B</i:mi></i:mrow><i:mrow><i:mo stretchy=\\\"false\\\">¯</i:mo></i:mrow></i:mover></i:mrow><i:mrow><i:mo>*</i:mo></i:mrow></i:msup></i:mrow></i:math> systems using light meson exchange interactions. Our analysis focuses on coupled-channel systems with spin-parity quantum numbers <o:math xmlns:o=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><o:msup><o:mi>J</o:mi><o:mrow><o:mi>P</o:mi><o:mi>C</o:mi></o:mrow></o:msup><o:mo>=</o:mo><o:msup><o:mn>0</o:mn><o:mrow><o:mo>+</o:mo><o:mo>+</o:mo></o:mrow></o:msup></o:math>, <q:math xmlns:q=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><q:msup><q:mn>1</q:mn><q:mrow><q:mo>+</q:mo><q:mo>±</q:mo></q:mrow></q:msup></q:math>, and <s:math xmlns:s=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><s:msup><s:mn>2</s:mn><s:mrow><s:mo>+</s:mo><s:mo>+</s:mo></s:mrow></s:msup></s:math>, examining how the <u:math xmlns:u=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><u:mi>δ</u:mi><u:mo stretchy=\\\"false\\\">(</u:mo><u:mi mathvariant=\\\"bold-italic\\\">r</u:mi><u:mo stretchy=\\\"false\\\">)</u:mo></u:math> potential affects states near threshold. Using coupled-channel analysis, we reproduce the <z:math xmlns:z=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><z:mi>X</z:mi><z:mo stretchy=\\\"false\\\">(</z:mo><z:mn>3872</z:mn><z:mo stretchy=\\\"false\\\">)</z:mo></z:math> mass with a given cutoff for the <db:math xmlns:db=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><db:mo stretchy=\\\"false\\\">(</db:mo><db:mi>I</db:mi><db:mo stretchy=\\\"false\\\">)</db:mo><db:msup><db:mi>J</db:mi><db:mrow><db:mi>P</db:mi><db:mi>C</db:mi></db:mrow></db:msup><db:mo>=</db:mo><db:mo stretchy=\\\"false\\\">(</db:mo><db:mn>0</db:mn><db:mo stretchy=\\\"false\\\">)</db:mo><db:msup><db:mn>1</db:mn><db:mrow><db:mo>+</db:mo><db:mo>+</db:mo></db:mrow></db:msup></db:math> state, finding a minimal impact from the <jb:math xmlns:jb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><jb:mi>δ</jb:mi><jb:mo stretchy=\\\"false\\\">(</jb:mo><jb:mi mathvariant=\\\"bold-italic\\\">r</jb:mi><jb:mo stretchy=\\\"false\\\">)</jb:mo></jb:math> term. At this cutoff, both the <ob:math xmlns:ob=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ob:mo stretchy=\\\"false\\\">(</ob:mo><ob:mn>0</ob:mn><ob:mo stretchy=\\\"false\\\">)</ob:mo><ob:msup><ob:mn>0</ob:mn><ob:mrow><ob:mo>+</ob:mo><ob:mo>+</ob:mo></ob:mrow></ob:msup></ob:math> state near the <sb:math xmlns:sb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><sb:mi>D</sb:mi><sb:mover accent=\\\"true\\\"><sb:mi>D</sb:mi><sb:mo stretchy=\\\"false\\\">¯</sb:mo></sb:mover></sb:math> threshold and the <wb:math xmlns:wb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><wb:mo stretchy=\\\"false\\\">(</wb:mo><wb:mn>0</wb:mn><wb:mo stretchy=\\\"false\\\">)</wb:mo><wb:msup><wb:mn>1</wb:mn><wb:mrow><wb:mo>+</wb:mo><wb:mo>−</wb:mo></wb:mrow></wb:msup></wb:math> state near the D</ac:mi>D</ac:mi>¯</ac:mo></ac:mover>*</ac:mo></ac:msup></ac:math> threshold show less sensitivity to the <ec:math xmlns:ec=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ec:mi>δ</ec:mi><ec:mo stretchy=\\\"false\\\">(</ec:mo><ec:mi mathvariant=\\\"bold-italic\\\">r</ec:mi><ec:mo stretchy=\\\"false\\\">)</ec:mo></ec:math> term compared to the three states–<jc:math xmlns:jc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><jc:mo stretchy=\\\"false\\\">(</jc:mo><jc:mn>0</jc:mn><jc:mo stretchy=\\\"false\\\">)</jc:mo><jc:msup><jc:mn>0</jc:mn><jc:mrow><jc:mo>+</jc:mo><jc:mo>+</jc:mo></jc:mrow></jc:msup></jc:math>, <nc:math xmlns:nc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><nc:mo stretchy=\\\"false\\\">(</nc:mo><nc:mn>0</nc:mn><nc:mo stretchy=\\\"false\\\">)</nc:mo><nc:msup><nc:mn>1</nc:mn><nc:mrow><nc:mo>+</nc:mo><nc:mo>−</nc:mo></nc:mrow></nc:msup></nc:math>, and <rc:math xmlns:rc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><rc:mo stretchy=\\\"false\\\">(</rc:mo><rc:mn>0</rc:mn><rc:mo stretchy=\\\"false\\\">)</rc:mo><rc:msup><rc:mn>2</rc:mn><rc:mrow><rc:mo>+</rc:mo><rc:mo>+</rc:mo></rc:mrow></rc:msup></rc:math>–near the <vc:math xmlns:vc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><vc:msup><vc:mi>D</vc:mi><vc:mo>*</vc:mo></vc:msup><vc:msup><vc:mover accent=\\\"true\\\"><vc:mi>D</vc:mi><vc:mo stretchy=\\\"false\\\">¯</vc:mo></vc:mover><vc:mo>*</vc:mo></vc:msup></vc:math> threshold. As anticipated, the <zc:math xmlns:zc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><zc:msup><zc:mi>B</zc:mi><zc:mrow><zc:mo stretchy=\\\"false\\\">(</zc:mo><zc:mo>*</zc:mo><zc:mo stretchy=\\\"false\\\">)</zc:mo></zc:mrow></zc:msup><zc:msup><zc:mover accent=\\\"true\\\"><zc:mi>B</zc:mi><zc:mo stretchy=\\\"false\\\">¯</zc:mo></zc:mover><zc:mo>*</zc:mo></zc:msup></zc:math> systems exhibit similar behavior but with stronger binding due to their larger reduced mass. These findings suggest promising directions for future experimental searches, particularly in the isoscalar sector, which could substantially advance our understanding of exotic tetraquark states. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"35 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review D\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevd.111.094036\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.094036","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0

摘要

利用光介子交换相互作用研究了D(*)D¯(*)和B(*)B¯*体系中潜在的强子分子态。我们的分析集中在具有自旋宇称量子数JPC=0++, 1+±和2++的耦合通道系统上,研究了δ(r)势如何影响阈值附近的状态。使用耦合通道分析,我们对(I)JPC=(0)1++状态用给定的截止值再现X(3872)质量,发现δ(r)项的影响最小。在这个截止点,在DD¯阈值附近的(0)0++状态和在DD¯*阈值附近的(0)1+ -状态对δ(r)项的敏感性低于在D*D¯*阈值附近的(0)0++,(0)1+ -和(0)2++ -三个状态。正如预期的那样,B(*)B¯*体系表现出类似的行为,但由于其更大的减少质量而具有更强的结合。这些发现为未来的实验研究指明了有希望的方向,特别是在等标量领域,这将极大地促进我们对奇异四夸克态的理解。2025年由美国物理学会出版
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Role of the short-range dynamics in the formation of D(*)D¯(*) and B(*)B¯(*) hadronic molecules
We investigate potential hadronic molecular states in the D(*)D¯(*) and B(*)B¯* systems using light meson exchange interactions. Our analysis focuses on coupled-channel systems with spin-parity quantum numbers JPC=0++, 1+±, and 2++, examining how the δ(r) potential affects states near threshold. Using coupled-channel analysis, we reproduce the X(3872) mass with a given cutoff for the (I)JPC=(0)1++ state, finding a minimal impact from the δ(r) term. At this cutoff, both the (0)0++ state near the DD¯ threshold and the (0)1+ state near the DD¯* threshold show less sensitivity to the δ(r) term compared to the three states–(0)0++, (0)1+, and (0)2++–near the D*D¯* threshold. As anticipated, the B(*)B¯* systems exhibit similar behavior but with stronger binding due to their larger reduced mass. These findings suggest promising directions for future experimental searches, particularly in the isoscalar sector, which could substantially advance our understanding of exotic tetraquark states. Published by the American Physical Society 2025
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Physical Review D
Physical Review D 物理-天文与天体物理
CiteScore
9.20
自引率
36.00%
发文量
0
审稿时长
2 months
期刊介绍: Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信