轴矢量介子f_1(1282)在手征孤立子模型中的效应———f_1运动方程的大N_C分析

Effect of Axial Vector Meson f_1(1282) in Chiral Soliton Model ——Large N_C Analysis of f_1 Equation of Motion

从U (2 ) L ×U (2 ) R 手征孤立子模型出发 ,通过(πωf1 )模型考察了轴矢量介子 f1 (1 2 82 )的时间分量和空间分量的量级与其手征伙伴ω的关系。通过对 f1 运动方程的大NC 分析 ,发现 :f1 的时间分量 f0 具有O(1N3/2C)的量级 ,其空间分量 fi 具有和ω空间分量ωi 相同的O(1NC)量级。因此 ,在研究孤立子转动激发时 ,fi 和ωi 应该同时考察。这是首次对于 f1 在手征孤立子模型中的效应进行定量估算。

From U(2) L×U(2) R chiral meson theory, the time and space components of axial vector meson f 1(1282) are studied in the model of (πωf 1). Through the large N C analysis of equation of motion for f 1, we find: The time-component f 0 of f 1 takes the order of O (1 N 3/2 C ), while its space-component f i possesses the order O (1 N C ),the same order as the one of ω .Therefore, f i and ω i should be studied altogether when we deal with the rotation of soliton. This is the first time to assess quantitatively the effect of f 1 in the chiral soliton model.