Prediction of the one pion exchange contribution to the processπ ⁻ p→π ⁻ pω with the help of the Veneziano model

Abstract

The one pion exchange contribution to the differentialπ ⁻ p→π ⁻ pω cross-section is calculated assuming that theπ→πω amplitude associated with one of the vertices is described by the Veneziano formula, and that only a trivial dependence of the latter on the mass of the exchanged pion needs to be taken into account. The remaining unknown overall constant is then fixed by considering the decayω→3π. A rough comparison with preliminary data from a 16 GeV/cπ ⁻ p experiment shows that the one pion exchange model could possibly describe the reactionπ ⁻ p→π ⁻ pω forπω masses above 1.4 GeV.