摘要
本文给出了整体口袋-夸克流方法的一些费曼法则,并利用这些法则得到了一系列光子-强子过程的零级跃迁矩阵元。接着具体计算了正负电子对深度湮没过程中的核子与π介子结构函数。求得的类时结构函数具有Bjorken标度性,满足Collan-Gross关系,当x=q^2/2p·q<1时为零,而当x≥1时,(?)_1≡(?)_1≥0,(?)_2≡v/M(?)_2≤0。这些性质都是按定义所要求的。此外还得到强子类时结构函数的计数法则:(?)_1(x～1)∝(x—1)^(3N-2),正好与我们在计算类空结构函数时得到的计数法则相对称。
In this article some Feynman rules in the method of collectivc bag-quark current are given, and, by use of these rules, the zeroth-order transition matrix elements of various photon-hadron processes are obtained. Then the structure functions of nucleons and pions in the processes of deep-inelastic electron-positron annihilation are calculated. The time-like structure functions thus obtained have Bjorken scaling, satisfy Collan-Gross relation, vanish when x=q^2/2p·q<1, and ■_1■_1≥0, ■_2≡ν/M■_2≤0 when x≥1. All these characteristics are required by definition. Besides, a counting rule is obtained for the time-like structure functions, i.e., ■_1(x～1)∝(x—1)^(3N-2), which is quite symmetric with the one we obtained for the space-like structure functions.
