{"title":"Calculation of Binding Energy and Wave Function for Exotic Hidden-Charm Pentaquark","authors":"F. Sharahi, M. Monemzadeh","doi":"10.1155/2021/2861214","DOIUrl":null,"url":null,"abstract":"<jats:p>In this study, pentaquark <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\n <msub>\n <mrow>\n <mi>P</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n <mfenced open=\"(\" close=\")\">\n <mrow>\n <mn>4380</mn>\n </mrow>\n </mfenced>\n </math>\n </jats:inline-formula> composed of a baryon <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 </math>\n </jats:inline-formula>, and a <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\n <msup>\n <mrow>\n <mover accent=\"false\">\n <mrow>\n <mi>D</mi>\n </mrow>\n <mrow>\n <mo>¯</mo>\n </mrow>\n </mover>\n </mrow>\n <mrow>\n <mo>∗</mo>\n </mrow>\n </msup>\n </math>\n </jats:inline-formula> meson is considered. Pentaquark is as a bound state of two-body systems composed of a baryon and a meson. The calculated potential will be expanded and replaced in the Schrödinger equation until tenth sentences of expansion. Solving the Schrödinger equation with the expanded potential of Pentaquark leads to an analytically complete approach. As a consequence, the binding energy <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\n <msub>\n <mrow>\n <mi>E</mi>\n </mrow>\n <mrow>\n <mi>B</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula> of pentaquark <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\n <msub>\n <mrow>\n <mi>P</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula> and wave function is obtained. The results <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\">\n <msub>\n <mrow>\n <mi>E</mi>\n </mrow>\n <mrow>\n <mi>B</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula> will be presented in the form of tables so that we can review the existence of pentaquark <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M7\">\n <msub>\n <mrow>\n <mi>P</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula>. Then, the wave function will be shown on diagrams. Finally, the calculated results are compared with the other obtained results, and the mass of observing pentaquark <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M8\">\n <msub>\n <mrow>\n <mi>P</mi>\n </mrow>\n <mrow>\n <mi>c</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula> and the radius of pentaquark are estimated.</jats:p>","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":"2021 1","pages":"1-6"},"PeriodicalIF":1.5000,"publicationDate":"2020-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1155/2021/2861214","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: 1
Abstract
In this study, pentaquark composed of a baryon , and a meson is considered. Pentaquark is as a bound state of two-body systems composed of a baryon and a meson. The calculated potential will be expanded and replaced in the Schrödinger equation until tenth sentences of expansion. Solving the Schrödinger equation with the expanded potential of Pentaquark leads to an analytically complete approach. As a consequence, the binding energy of pentaquark and wave function is obtained. The results will be presented in the form of tables so that we can review the existence of pentaquark . Then, the wave function will be shown on diagrams. Finally, the calculated results are compared with the other obtained results, and the mass of observing pentaquark and the radius of pentaquark are estimated.
在本研究中,五夸克P c 4380由重子∑c组成,和D’*考虑介子。五夸克是由重子和介子组成的两体系统的束缚态。计算的势将在薛定谔方程中展开和替换,直到展开的第十句。用五夸克的膨胀势求解薛定谔方程,得到了一个完整的解析方法。因此,五夸克的结合能EBPc和波函数。结果EB将以表格的形式呈现,以便我们可以回顾五夸克的存在P c。然后,波形函数将显示在图表上。最后将计算结果与其它得到的结果进行比较,并估计了观测到的五夸克的质量Pc和五夸克的半径。
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.