基于PQCD框架下双光子到标量介子对过程中波函数模型研究

Research on Wave Function Model in the Process of Two-photon to Scalar Meson Pair Based on PQCD Framework

近年来,在PQCD因子化的框架下,对于双光子的硬遍举过程展开了许多研究。研究表明,其散射振幅可以用可微扰计算的硬散射振幅和非微扰计算的强子波函数的卷积形式来表示,由此发现,对于强子波函数模型的选取便显得十分重要。本文基于QCD求和规则,在qq两夸克态的模型下,导出了标量介子的领头阶与次领头阶光锥分布振幅,进而可以顺利地与解析部分整体进行积分运算,得到散射截面大小如何随质心系能量变化而变化的关系图。

In recent years,under the framework of PQCD factorization,many studies have been carried out on the two-photon hard traversal process.Studies have shown that the scattering amplitude can be expressed by the convolutional form of the hard scattering amplitude that can be calculated by perturbation and the hadron wave function of non-perturbation calculation.It is found that the selection of the hadron wave function model is very important.In this paper,based on the QCD summation rule,under the qq two-quark state model,the leading-order and sub-leading-order optical cone distribution amplitudes of scalar mesons are derived,which can then be integrated smoothly with the analytical part as a whole to obtain how the size of the scattering cross section varies with the center of mass A diagram showing the relationship between energy changes and changes.