摘要
本文对瞬时近似的夸克-反夸克体系的Bethe-Salpeter方程中的γ-矩阵给出正确的Gordon约化的结果,并恰当地考虑了方程中投影算子及B-S振幅的小分量的贡献.在此基础上推导出准至p^2/m^2级近似的B-S方程的正确形式.进而利用B-S振幅的归一化条件,找到了B-S振幅与Pauli-Schrodinger波函数之间的关系.据此求得了包含相对论修正的Pauli-Schrodinger方程.利用变分法求解此方程,得到了与实验符合较好的介子谱.
In this paper,an adequate form of qq Bethe-Salpeter(B-S)equation with one gluon exchange interaction and harmonic oscillator confining potential being taken into account has been derived,based on correct Gordon decompositions of the γ-matrices and a proper treatment for the fermion propagators in the equation.Furthermore,a Pauli-Schrodinger(P-S)equation including relativistic corrections has been established on the basis of the B-S equation by making use of relations between 4×1 components of the 16×1 B-S amplitude and a connection between the B-S amplitude and the P-S wave function both of which were found in the approximation of the order of P^2/m^2.Calculations of meson spectra by employing the latter equation give a better agreement with the experimental data.
出处
《高能物理与核物理》
SCIE
CAS
CSCD
北大核心
1989年第11期1007-1016,共10页
High Energy Physics and Nuclear Physics
基金
国家自然科学基金
