The N(p,2π)2N reactions near threshold
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A preliminary calculation of the total cross sections for the reactions pn→pnπ+π−, pp→ppπ+π−, pp→ppπ0π0, and pp→nnπ+π+ was carried out for the incident proton energy range Ep≲ 850 MeV. This calculation was done in the framework of a model based on a version of the standard effective chiral Lagrangian, for which only three- and four-pion diagrams were taken into account together with diagrams containing two two-pion vertices. The invariant amplitudes were calculated to the threshold approximation. It was shown that for a reliable description of the reactions under consideration it is necessary to take into account the N*(1440) mechanism too. The final state interaction of the nucleons was also considered. Results of the calculation are compared with available experimental data.
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