The accurate calculation about p(p-bar)→p(p-bar)' differential cross-section of the renormalized π0 chain propagator

In the Lorentz coupling model of strong interaction between neutral meson π0 and N-N-bar, we have strictly analytic calculated the scattering differential cross-section of p-(p-bar) about the π0 renormalized chained propagator and obtained accurate theoretical outcome. Moreover, after comparing with the differential cross- section of π0 tree propagator, we have obtained related radiation correction outcome. All these, we have done, can be reference for further researching p-(p-bar) elastic collision at high, middle or low ergo region and description Lorentz invariant coupling model theory with strong interaction. (authors)