Mechanism of formation of cumulative π$^{-}$ - mesons in the interaction of high-energy deuterons with protons protons

A theoretical description is proposed for the process d+p→ π$^({-})$ (0°)$^{+}$ with a primary - deuteron momentum of around 10 GeV/c, allowing both qualitative and quantitative accounts of the cumulative creation of π$^{-}$ mesons to be given. This model is developed on the basis of representation of the given process as a three – particle problem, taking account of two- and three - particle forces. The amplitude of the reaction is represented as a sum of contributions from an infinite series of diagrams, including the peaks of the two- and three-particle interactions. It is shown that, at high energy, the simplest diagrams make an important contribution to the amplitude of the cumulative meson formation. The differential cross section calculated for the formation of π$^{-}$ mesons at 0 in the reaction (d + p) is in good quantitative agreement with experimental data.