{"title":"完全迷人的共振X(6900)及其美丽的对应物","authors":"S.S. Agaev , K. Azizi , B. Barsbay , H. Sundu","doi":"10.1016/j.nuclphysa.2023.122768","DOIUrl":null,"url":null,"abstract":"<div><p>The fully heavy scalar tetraquarks <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4Q</mn></mrow></msub><mo>=</mo><mi>Q</mi><mi>Q</mi><mover><mrow><mi>Q</mi></mrow><mo>‾</mo></mover><mover><mrow><mi>Q</mi></mrow><mo>‾</mo></mover></math></span>, (<span><math><mi>Q</mi><mo>=</mo><mi>c</mi><mo>,</mo><mi>b</mi></math></span>) are explored in the context of QCD sum rule method. We model <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4Q</mn></mrow></msub></math></span> as diquark-antidiquark systems composed of pseudoscalar constituents, and calculate their masses <span><math><msup><mrow><mi>m</mi></mrow><mrow><mo>(</mo><mo>′</mo><mo>)</mo></mrow></msup></math></span> and couplings <span><math><msup><mrow><mi>f</mi></mrow><mrow><mo>(</mo><mo>′</mo><mo>)</mo></mrow></msup></math></span> within the two-point sum rule approach. Our results <span><math><mi>m</mi><mo>=</mo><mo>(</mo><mn>6928</mn><mo>±</mo><mn>50</mn><mo>)</mo><mspace></mspace><mrow><mi>MeV</mi></mrow></math></span> and <span><math><msup><mrow><mi>m</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>=</mo><mo>(</mo><mn>18858</mn><mo>±</mo><mn>50</mn><mo>)</mo><mspace></mspace><mrow><mi>MeV</mi></mrow></math></span> for masses of the tetraquarks <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4b</mn></mrow></msub></math></span> prove that they can decay to hidden-flavor heavy mesons. The full width <span><math><msub><mrow><mi>Γ</mi></mrow><mrow><mn>4c</mn></mrow></msub></math></span> of the <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub></math></span> is evaluated by taking into account the decay channels <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub><mo>→</mo><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>J</mi><mo>/</mo><mi>ψ</mi></math></span>, <span><math><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mrow><mi>ψ</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span>, <span><math><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, <span><math><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>2</mn><mi>S</mi><mo>)</mo></math></span>, <span><math><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><msub><mrow><mi>χ</mi></mrow><mrow><mi>c</mi><mn>1</mn></mrow></msub><mo>(</mo><mn>1</mn><mi>P</mi><mo>)</mo></math></span>, and <span><math><msub><mrow><mi>χ</mi></mrow><mrow><mi>c</mi><mn>0</mn></mrow></msub><msub><mrow><mi>χ</mi></mrow><mrow><mi>c</mi><mn>0</mn></mrow></msub></math></span>. The partial widths of these processes depend on strong couplings <span><math><msub><mrow><mi>g</mi></mrow><mrow><mi>i</mi></mrow></msub></math></span> at vertices <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>J</mi><mo>/</mo><mi>ψ</mi></math></span>, <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mrow><mi>ψ</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> etc., which are computed using the QCD three-point sum rule method. The decay <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4b</mn></mrow></msub><mo>→</mo><msub><mrow><mi>η</mi></mrow><mrow><mi>b</mi></mrow></msub><msub><mrow><mi>η</mi></mrow><mrow><mi>b</mi></mrow></msub></math></span> is used to find the width <span><math><msub><mrow><mi>Γ</mi></mrow><mrow><mn>4b</mn></mrow></msub></math></span> of the <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4b</mn></mrow></msub></math></span>. The predictions for <em>m</em> and <span><math><msub><mrow><mi>Γ</mi></mrow><mrow><mn>4c</mn></mrow></msub><mo>=</mo><mo>(</mo><mn>128</mn><mo>±</mo><mn>22</mn><mo>)</mo><mspace></mspace><mrow><mi>MeV</mi></mrow></math></span> are compared with parameters of the fully charmed resonances reported by the LHCb, ATLAS, and CMS Collaborations. Based on this analysis, we interpret the tetraquark <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub></math></span> as a candidate to the resonance <span><math><mi>X</mi><mo>(</mo><mn>6900</mn><mo>)</mo></math></span>. The mass <span><math><msup><mrow><mi>m</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> and width <span><math><msub><mrow><mi>Γ</mi></mrow><mrow><mn>4b</mn></mrow></msub><mo>=</mo><mo>(</mo><mn>94</mn><mo>±</mo><mn>28</mn><mo>)</mo><mspace></mspace><mrow><mi>MeV</mi></mrow></math></span> of the exotic meson <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4b</mn></mrow></msub></math></span> can be used in future experimental investigations of these states.</p></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Fully charmed resonance X(6900) and its beauty counterpart\",\"authors\":\"S.S. Agaev , K. Azizi , B. Barsbay , H. Sundu\",\"doi\":\"10.1016/j.nuclphysa.2023.122768\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The fully heavy scalar tetraquarks <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4Q</mn></mrow></msub><mo>=</mo><mi>Q</mi><mi>Q</mi><mover><mrow><mi>Q</mi></mrow><mo>‾</mo></mover><mover><mrow><mi>Q</mi></mrow><mo>‾</mo></mover></math></span>, (<span><math><mi>Q</mi><mo>=</mo><mi>c</mi><mo>,</mo><mi>b</mi></math></span>) are explored in the context of QCD sum rule method. We model <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4Q</mn></mrow></msub></math></span> as diquark-antidiquark systems composed of pseudoscalar constituents, and calculate their masses <span><math><msup><mrow><mi>m</mi></mrow><mrow><mo>(</mo><mo>′</mo><mo>)</mo></mrow></msup></math></span> and couplings <span><math><msup><mrow><mi>f</mi></mrow><mrow><mo>(</mo><mo>′</mo><mo>)</mo></mrow></msup></math></span> within the two-point sum rule approach. Our results <span><math><mi>m</mi><mo>=</mo><mo>(</mo><mn>6928</mn><mo>±</mo><mn>50</mn><mo>)</mo><mspace></mspace><mrow><mi>MeV</mi></mrow></math></span> and <span><math><msup><mrow><mi>m</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>=</mo><mo>(</mo><mn>18858</mn><mo>±</mo><mn>50</mn><mo>)</mo><mspace></mspace><mrow><mi>MeV</mi></mrow></math></span> for masses of the tetraquarks <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4b</mn></mrow></msub></math></span> prove that they can decay to hidden-flavor heavy mesons. The full width <span><math><msub><mrow><mi>Γ</mi></mrow><mrow><mn>4c</mn></mrow></msub></math></span> of the <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub></math></span> is evaluated by taking into account the decay channels <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub><mo>→</mo><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>J</mi><mo>/</mo><mi>ψ</mi></math></span>, <span><math><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mrow><mi>ψ</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span>, <span><math><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, <span><math><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>2</mn><mi>S</mi><mo>)</mo></math></span>, <span><math><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><msub><mrow><mi>χ</mi></mrow><mrow><mi>c</mi><mn>1</mn></mrow></msub><mo>(</mo><mn>1</mn><mi>P</mi><mo>)</mo></math></span>, and <span><math><msub><mrow><mi>χ</mi></mrow><mrow><mi>c</mi><mn>0</mn></mrow></msub><msub><mrow><mi>χ</mi></mrow><mrow><mi>c</mi><mn>0</mn></mrow></msub></math></span>. The partial widths of these processes depend on strong couplings <span><math><msub><mrow><mi>g</mi></mrow><mrow><mi>i</mi></mrow></msub></math></span> at vertices <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>J</mi><mo>/</mo><mi>ψ</mi></math></span>, <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mrow><mi>ψ</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> etc., which are computed using the QCD three-point sum rule method. The decay <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4b</mn></mrow></msub><mo>→</mo><msub><mrow><mi>η</mi></mrow><mrow><mi>b</mi></mrow></msub><msub><mrow><mi>η</mi></mrow><mrow><mi>b</mi></mrow></msub></math></span> is used to find the width <span><math><msub><mrow><mi>Γ</mi></mrow><mrow><mn>4b</mn></mrow></msub></math></span> of the <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4b</mn></mrow></msub></math></span>. The predictions for <em>m</em> and <span><math><msub><mrow><mi>Γ</mi></mrow><mrow><mn>4c</mn></mrow></msub><mo>=</mo><mo>(</mo><mn>128</mn><mo>±</mo><mn>22</mn><mo>)</mo><mspace></mspace><mrow><mi>MeV</mi></mrow></math></span> are compared with parameters of the fully charmed resonances reported by the LHCb, ATLAS, and CMS Collaborations. Based on this analysis, we interpret the tetraquark <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4c</mn></mrow></msub></math></span> as a candidate to the resonance <span><math><mi>X</mi><mo>(</mo><mn>6900</mn><mo>)</mo></math></span>. The mass <span><math><msup><mrow><mi>m</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> and width <span><math><msub><mrow><mi>Γ</mi></mrow><mrow><mn>4b</mn></mrow></msub><mo>=</mo><mo>(</mo><mn>94</mn><mo>±</mo><mn>28</mn><mo>)</mo><mspace></mspace><mrow><mi>MeV</mi></mrow></math></span> of the exotic meson <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>4b</mn></mrow></msub></math></span> can be used in future experimental investigations of these states.</p></div>\",\"PeriodicalId\":19246,\"journal\":{\"name\":\"Nuclear Physics A\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2023-10-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Physics A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0375947423001719\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375947423001719","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
Fully charmed resonance X(6900) and its beauty counterpart
The fully heavy scalar tetraquarks , () are explored in the context of QCD sum rule method. We model as diquark-antidiquark systems composed of pseudoscalar constituents, and calculate their masses and couplings within the two-point sum rule approach. Our results and for masses of the tetraquarks and prove that they can decay to hidden-flavor heavy mesons. The full width of the is evaluated by taking into account the decay channels , , , , , and . The partial widths of these processes depend on strong couplings at vertices , etc., which are computed using the QCD three-point sum rule method. The decay is used to find the width of the . The predictions for m and are compared with parameters of the fully charmed resonances reported by the LHCb, ATLAS, and CMS Collaborations. Based on this analysis, we interpret the tetraquark as a candidate to the resonance . The mass and width of the exotic meson can be used in future experimental investigations of these states.
期刊介绍:
Nuclear Physics A focuses on the domain of nuclear and hadronic physics and includes the following subsections: Nuclear Structure and Dynamics; Intermediate and High Energy Heavy Ion Physics; Hadronic Physics; Electromagnetic and Weak Interactions; Nuclear Astrophysics. The emphasis is on original research papers. A number of carefully selected and reviewed conference proceedings are published as an integral part of the journal.