Abstract

The connection between field-theoretic equations based on the Bogolyubov–Medvedev–Polivanov and Lehman–Szymanczyk–Zimmerman \(S\)-matrix methods is discussed [1]. These equations are used to derive three-dimensional time-ordered relativistic Lippmann–Schwinger-type equations for hadronic collision amplitudes with and without quark degrees of freedom [2, 3]. Quark degrees of freedom are considered following the Huang–Weldon approach [4], in which hadrons are considered as bound states of quarks. Numerical solutions of the obtained equations made it possible to describe well the experimental phase shifts of elastic \(\pi N\) and \(NN\) scattering in the low-energy region. Using a separable approximation, a quark–parton model for inclusive production of particles with a large transverse momentum was reproduced [6]. This made it possible to describe the experimental data of inclusive production of a \(\rho \) meson with a large transverse momentum (≤1.5 GeV/c) in a proton–proton collision in the energy region 2.9 ≤ \(\sqrt s \) ≤ 64 GeV [5].

中文翻译：

---

Bogolyubov–Medvedev–Polivanov S-矩阵方法及其在多粒子系统和高能物理中的应用

摘要

讨论了基于Bogolyubov–Medvedev–Polivanov和Lehman–Szymanczyk–Zimmerman \（S \）-矩阵方法的场论方程之间的联系[1]。这些方程式用于推导具有和不具有夸克自由度的强子碰撞振幅的三维时间相对论性的Lippmann-Schwinger型方程式[2，3]。遵循Quark-Weldon方法[4]来考虑夸克自由度，其中强子被认为是夸克的束缚态。所获得方程的数值解使得有可能很好地描述弹性\（\ pi N \）和\（NN \）的实验相移散射在低能区域。使用可分离的近似值，生成了包含较大横向动量的粒子的包含性生成的夸克-帕顿模型[6]。这使得描述在能量区域2.9≤ \（\ sqrt s）的质子-质子碰撞中包含大横向动量（≤1.5GeV / c）的\（\ rho \）介子的包容性实验数据成为可能。 \） ≤64 GeV [5]。