In the Lorentz Invariable Coupling Model of interaction between pion and nucleon (antinucleon), by applying the complex function integral method, the authors have strictly calculated the one-dimensional integral, which is derived from the great momentum integral limit, of the renormalized finite quantity of one-loop propagator and chain propagator in the momentum renormalization scheme and gained the finally strict analysis result. At the last, they have detailed these numerical results of the renormalized finite quantity, and also done the relevant discussion about these minute radiation corrections.