Determining the $Θ^+$ quantum numbers through the $K^+p\to π^+K^+n$ reaction

Abstract

We study the $K^+p\to π^+K^+n$ reaction with some kinematics suited to the production of the $Θ^+$ resonance recently observed. We show that, independently of the quantum numbers of the $Θ^+$, a resonance signal is always observed in the $K^+$ forward direction. In addition, we also show how a combined consideration of the strength at the peak, and the angular dependence of polarization observables can help determine the $Θ^+$ quantum numbers using the present reaction.