Axial Charmonium Production in Electron–Positron Annihilation at \(\mathbf {\sqrt{s}=10.6}\) GeV in the Framework of Bethe–Salpeter Equation

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2023-10-10 DOI:10.1007/s00601-023-01861-6

Monika Narang, Shashank Bhatnagar

引用次数: 1

Abstract

We study the production of ground and excited axial charmonia in processes, \(e^- e^+ \rightarrow h_c(nP) + \eta _c(n'S)\), and \(e^- e^+ \rightarrow \chi _{c1}(nP) + h_c(n'P)\) for \(n,n'=1,2\), through leading order tree-level diagrams \(\sim O(\alpha _{em} \alpha _s)\), which proceed through exchange of a virtual photon and an internal gluon line connecting two quark lines in the triangle quark loop part of the diagram at center of mass energy, \(\sqrt{s}=10.6\,{\textrm{GeV}}\). We employ the framework of \(4\times 4\) Bethe–Salpeter equation, and calculate their cross sections. These studies might be of interest for future experiments at B-factories, since \(h_c, \eta _c\), and \(\chi _{c1}, h_c\) production might provide opportunities for observing \(h_c\) with higher statistics in future.

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在Bethe-Salpeter方程框架下\(\mathbf {\sqrt{s}=10.6}\) GeV电子-正电子湮灭的轴向谐波产生

我们研究了地面和激发轴向谐波的产生，\(e^- e^+ \rightarrow h_c(nP) + \eta _c(n'S)\)和\(e^- e^+ \rightarrow \chi _{c1}(nP) + h_c(n'P)\)的\(n,n'=1,2\)，通过主阶树级图\(\sim O(\alpha _{em} \alpha _s)\)，这是通过交换虚光子和内部胶子线进行的，胶子线连接两个夸克线在三角形夸克环部分的图在质能中心，\(\sqrt{s}=10.6\,{\textrm{GeV}}\)。我们采用\(4\times 4\) Bethe-Salpeter方程的框架，计算了它们的横截面。这些研究可能对未来在b工厂的实验感兴趣，因为\(h_c, \eta _c\)和\(\chi _{c1}, h_c\)的生产可能为将来用更高的统计数据观察\(h_c\)提供机会。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).

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