论文标题
梅森 - 巴里昂散射在重新介绍的重手性扰动理论中,使用时间订购的扰动理论
Meson-baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory
论文作者
论文摘要
梅森 - 巴里昂散射幅度的积分方程是通过利用定时的扰动理论来获得的,对Baryon手性扰动理论的明显lorentz-Invariant公式获得了。有效电位被定义为按时间顺序图的两粒子不可约的贡献和散射幅度的总和作为积分方程的溶液获得。紫外线的可重差能够通过求解领先顺序振幅的积分方程并在扰动上包括高阶校正来实现。作为发达的形式主义的应用,考虑了尿布核子散射。
Integral equations for meson-baryon scattering amplitudes are obtained by utilizing time-ordered perturbation theory for a manifestly Lorentz-invariant formulation of baryon chiral perturbation theory. Effective potentials are defined as sums of two-particle irreducible contributions of time-ordered diagrams and the scattering amplitudes are obtained as solutions of integral equations. Ultraviolet renormalizability is achieved by solving integral equations for the leading order amplitude and including higher order corrections perturbatively. As an application of the developed formalism, pion-nucleon scattering is considered.