Pion-induced production with baryon off proton target

Abstract

In this work, the reaction is investigated with an effective Lagrangian approach. The contributions from the Born terms, including the s, t, and u channel, are considered, and the Regge model and the Feynman model are applied to treat the t-channel contribution. The existing experimental data can be reproduced with the best-fitted χ 2 being 2.38 and 1.54 for the Feynman and Regge models, respectively. Moreover, it is found that the contribution from the t channel is dominant in the cross-section. The contribution of the u channel is mainly distributed at backward angles, and the contribution from the s channel is small and negligible. In the Feynman model, the contribution of the t-channel K exchange is much larger than the contribution of the exchange, while in the Regge model the contribution of the t-channel K exchange is comparable to that of the exchange. Prediction about the differential cross-section of the reaction is also presented, which is helpful for clarifying the role of the Regge treatment. The current results suggest high-precision experimental measurements which can be performed at J-PARC and COMPASS.