中文摘要：

采用中性介子π^0与核子N-反核子N^-强相互作用Lorentz不变耦合模型，对π^0与N-N^-两类重整化链图传播子函数级数收敛性问题作了全面考察与深入研究，并利用链图传播子函数的精确理论计算结果，通过相关理论分析、推导后获得重整化链图传播子函数级数“精确”收敛公式；在此基础上又对两类重整化链图传播子“辐射修正”问题作了理论计算与分析。

英文摘要：

In the Lorentz invariant coupling model of strong interaction between neutral meson π^0 and nucleon N - antinucleon N^-, we roundly research and carefully study the convergent question about two kinds of the renormalized meson and nucleon-antinucleon chain propagator function progression. Using accurate theoretical calculating result of chain propagator function, we obtain the accurate convergent formula of the renormalized chain propagator after correlated theoretical analyzing and deducing. Moreover, on the basis of this, we comprehensively calculate and concretely analyze these various radiation correction to the two kinds of the renormalized chain propagator, which can be used for reference for further research in the renormalized chain propagators.