{"title":"独家\\(J/\\Psi \\)和\\(\\rho ^0\\)矢量介子生产利用BK进化理论","authors":"Ranjan Saikia, Jayanta Kumar Sarma","doi":"10.1007/s13538-025-01793-y","DOIUrl":null,"url":null,"abstract":"<div><p>Exclusive diffractive processes, such as exclusive vector meson production, serve as excellent probes of hadron structure within the perturbative regime of quantum chromodynamics (QCD). The exclusive process involving light and heavy vector mesons, <span>\\(e p \\rightarrow e V(V=J/\\Psi ,\\rho ,\\phi )\\)</span>, has been investigated at the HERA accelerator facility. In this study, we focus on the theoretical prediction of exclusive <span>\\(J/\\Psi \\)</span> and <span>\\(\\rho ^0\\)</span> vector meson production. Employing the color dipole formalism for the study of the exclusive vector meson production in photon-proton interactions, we calculate both the differential cross-section and total cross-section of <span>\\(J/\\Psi \\)</span> and <span>\\(\\rho ^0\\)</span> vector mesons, employing an analytical solution of the Balitsky-Kovchegov (BK) equation. Furthermore, we present the ratio of the longitudinal to the transverse cross-section for <span>\\(J/\\Psi \\)</span> and <span>\\(\\rho ^0\\)</span> as a function of <span>\\(Q^2\\)</span>. Two well-known vector meson wave function models, boosted Gaussian (BG) and Gaus-LC (GLC), have been integrated into our analysis, showing slight sensitivity to the chosen vector meson wave functions. Our theoretical predictions agree well with the available experimental data for vector meson production. The analytical solution of the BK equation proves reliable for the theoretical prediction of exclusive vector mesons within a specific range of <span>\\(Q^2\\)</span>.</p></div>","PeriodicalId":499,"journal":{"name":"Brazilian Journal of Physics","volume":"55 4","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exclusive \\\\(J/\\\\Psi \\\\) and \\\\(\\\\rho ^0\\\\) Vector Meson Production Using BK Evolution Theory\",\"authors\":\"Ranjan Saikia, Jayanta Kumar Sarma\",\"doi\":\"10.1007/s13538-025-01793-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Exclusive diffractive processes, such as exclusive vector meson production, serve as excellent probes of hadron structure within the perturbative regime of quantum chromodynamics (QCD). The exclusive process involving light and heavy vector mesons, <span>\\\\(e p \\\\rightarrow e V(V=J/\\\\Psi ,\\\\rho ,\\\\phi )\\\\)</span>, has been investigated at the HERA accelerator facility. In this study, we focus on the theoretical prediction of exclusive <span>\\\\(J/\\\\Psi \\\\)</span> and <span>\\\\(\\\\rho ^0\\\\)</span> vector meson production. Employing the color dipole formalism for the study of the exclusive vector meson production in photon-proton interactions, we calculate both the differential cross-section and total cross-section of <span>\\\\(J/\\\\Psi \\\\)</span> and <span>\\\\(\\\\rho ^0\\\\)</span> vector mesons, employing an analytical solution of the Balitsky-Kovchegov (BK) equation. Furthermore, we present the ratio of the longitudinal to the transverse cross-section for <span>\\\\(J/\\\\Psi \\\\)</span> and <span>\\\\(\\\\rho ^0\\\\)</span> as a function of <span>\\\\(Q^2\\\\)</span>. 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引用次数: 0
摘要
在量子色动力学(QCD)的微扰状态下,排他性衍射过程,如排他性矢量介子的产生,是强子结构的优良探针。涉及轻和重矢量介子的排他过程\(e p \rightarrow e V(V=J/\Psi ,\rho ,\phi )\),已经在HERA加速器设施中进行了研究。在本研究中,我们着重于理论预测独家\(J/\Psi \)和\(\rho ^0\)矢量介子产生。采用彩色偶极子形式研究光子-质子相互作用中独占矢量介子的产生,利用Balitsky-Kovchegov (BK)方程的解析解,计算了\(J/\Psi \)和\(\rho ^0\)矢量介子的微分截面和总截面。此外,我们提出了\(J/\Psi \)和\(\rho ^0\)的纵向与横向截面的比率作为\(Q^2\)的函数。两个众所周知的矢量介子波函数模型,增强高斯(BG)和高斯- lc (GLC),已经集成到我们的分析中,对所选择的矢量介子波函数表现出轻微的敏感性。我们的理论预测与现有的矢量介子产生的实验数据吻合得很好。BK方程的解析解证明了在\(Q^2\)特定范围内的独占矢量介子的理论预测是可靠的。
Exclusive \(J/\Psi \) and \(\rho ^0\) Vector Meson Production Using BK Evolution Theory
Exclusive diffractive processes, such as exclusive vector meson production, serve as excellent probes of hadron structure within the perturbative regime of quantum chromodynamics (QCD). The exclusive process involving light and heavy vector mesons, \(e p \rightarrow e V(V=J/\Psi ,\rho ,\phi )\), has been investigated at the HERA accelerator facility. In this study, we focus on the theoretical prediction of exclusive \(J/\Psi \) and \(\rho ^0\) vector meson production. Employing the color dipole formalism for the study of the exclusive vector meson production in photon-proton interactions, we calculate both the differential cross-section and total cross-section of \(J/\Psi \) and \(\rho ^0\) vector mesons, employing an analytical solution of the Balitsky-Kovchegov (BK) equation. Furthermore, we present the ratio of the longitudinal to the transverse cross-section for \(J/\Psi \) and \(\rho ^0\) as a function of \(Q^2\). Two well-known vector meson wave function models, boosted Gaussian (BG) and Gaus-LC (GLC), have been integrated into our analysis, showing slight sensitivity to the chosen vector meson wave functions. Our theoretical predictions agree well with the available experimental data for vector meson production. The analytical solution of the BK equation proves reliable for the theoretical prediction of exclusive vector mesons within a specific range of \(Q^2\).
期刊介绍:
The Brazilian Journal of Physics is a peer-reviewed international journal published by the Brazilian Physical Society (SBF). The journal publishes new and original research results from all areas of physics, obtained in Brazil and from anywhere else in the world. Contents include theoretical, practical and experimental papers as well as high-quality review papers. Submissions should follow the generally accepted structure for journal articles with basic elements: title, abstract, introduction, results, conclusions, and references.