The elementary p(p,p'π^{+})n reaction

Abstract

A detailed study of the elementary p(p,p$'π^{+}$)n reaction is presented using the delta isobar model. In this model, in the first step one of the two protons in the initial state gets excited to $Δ$. This, in the second step, decays into a nucleon and a pion. For the $pp \to NΔ$ step the parametrized form of the DWBA t-matrix of Jain and Santra, which reproduces most of the available data on $pp \to nΔ^{++}$, is used. The cross-sections studied include the outgoing proton momentum spectra in coincidence with the pion, the outgoing pion momentum spectra and the integrated total cross-section. We find that all the calculated numbers are in good agreement with the corresponding measured cross sections.