Accurate Calculation of the Differential Cross-Section of pp→π+π- Reaction with N-N〖TX-〗 Renormalized Loop-chain Contribution

In the work, we make a detailed discussion on the reaction, via nucleon-antinucleon propagator, within the SU (2)-invariant coupling model between charged mesons and nucleons (π±N) of perturbation theory of quantum field theory. The renormalized loop-chain propagator of nucleon-antinucleon (N-N) was strictly calculated and given an analytical expression with the large momentum integral limitation method. Furthermore, we obtain a simple and analytic expression of the differential cross-section of p* renormalized loop-chain propagator, i.e. *. We also calculate and obtain numerical results of the differential cross-section of p* at tree, one-loop and chain diagram in different center-of-mass energy, respectively, and make a detailed comparison and discussion and show some important information about radiative correction. In large energy within 2.5 GeV≤p0≤100 GeV, these corrections are in the reasonable range, i.e. *<2.0. The results provide a significant reference to understand in-depth of the SU(2)-invariant coupling model of strong interactions theory and to explore the reaction crosssection between mesons and nucleons (πN). In addition, it will provide effective reference to the applicability of the perturbation theory of quantum field theory in nucleon interactions, the renormalized calculation in different ways and approaches.(* Indicates a formula, please see the full text)