{"title":"Search for the Charmed Baryonium and Dibaryon Structures via the QCD Sum Rules","authors":"Xiu-Wu Wang, Zhi-Gang wang","doi":"10.1155/2022/6224597","DOIUrl":null,"url":null,"abstract":"<jats:p>In the present work, we construct eight six-quark currents to study the <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n <msub>\n <mrow>\n <mover accent=\"true\">\n <mi>Σ</mi>\n <mo stretchy=\"true\">¯</mo>\n </mover>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula> baryonium and <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula> dibaryon states via the QCD sum rules. For either <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n <msub>\n <mrow>\n <mover accent=\"true\">\n <mi>Σ</mi>\n <mo stretchy=\"true\">¯</mo>\n </mover>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula> baryonium or <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula> dibaryon states, we construct four currents with the <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\n <msup>\n <mrow>\n <mi>J</mi>\n </mrow>\n <mrow>\n <mi>P</mi>\n </mrow>\n </msup>\n <mo>=</mo>\n <msup>\n <mrow>\n <mn>1</mn>\n </mrow>\n <mrow>\n <mo>−</mo>\n </mrow>\n </msup>\n <mo>,</mo>\n <msup>\n <mrow>\n <mn>1</mn>\n </mrow>\n <mrow>\n <mo>+</mo>\n </mrow>\n </msup>\n <mo>,</mo>\n <msup>\n <mrow>\n <mn>0</mn>\n </mrow>\n <mrow>\n <mo>+</mo>\n </mrow>\n </msup>\n </math>\n </jats:inline-formula> and <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\">\n <msup>\n <mrow>\n <mn>0</mn>\n </mrow>\n <mrow>\n <mo>−</mo>\n </mrow>\n </msup>\n </math>\n </jats:inline-formula>. Except the current <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M7\">\n <msup>\n <mrow>\n <mn>1</mn>\n </mrow>\n <mrow>\n <mo>+</mo>\n </mrow>\n </msup>\n </math>\n </jats:inline-formula> of <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M8\">\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula>, we find the Borel windows for the other seven. There are two possible <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M9\">\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n <msub>\n <mrow>\n <mover accent=\"true\">\n <mi>Σ</mi>\n <mo stretchy=\"true\">¯</mo>\n </mover>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula> molecular states or compact six-quark states with the <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M10\">\n <msup>\n <mrow>\n <mi>J</mi>\n </mrow>\n <mrow>\n <mi>P</mi>\n </mrow>\n </msup>\n <mo>=</mo>\n <msup>\n <mrow>\n <mn>1</mn>\n </mrow>\n <mrow>\n <mo>−</mo>\n </mrow>\n </msup>\n </math>\n </jats:inline-formula> and <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M11\">\n <msup>\n <mrow>\n <mn>0</mn>\n </mrow>\n <mrow>\n <mo>−</mo>\n </mrow>\n </msup>\n </math>\n </jats:inline-formula>. The results of the current <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M12\">\n <msup>\n <mrow>\n <mn>0</mn>\n </mrow>\n <mrow>\n <mo>+</mo>\n </mrow>\n </msup>\n </math>\n </jats:inline-formula> of <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M13\">\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n <msub>\n <mrow>\n <mi>Σ</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jat","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":" ","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2021-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1155/2022/6224597","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 2
Abstract
In the present work, we construct eight six-quark currents to study the baryonium and dibaryon states via the QCD sum rules. For either baryonium or dibaryon states, we construct four currents with the and . Except the current of , we find the Borel windows for the other seven. There are two possible molecular states or compact six-quark states with the and . The results of the current of
期刊介绍:
Advances in High Energy Physics publishes the results of theoretical and experimental research on the nature of, and interaction between, energy and matter. Considering both original research and focussed review articles, the journal welcomes submissions from small research groups and large consortia alike.