Determining the ${\Theta }^{+}$ quantum numbers through the $K^{+}p\to {\pi }^{+}{K}^{+}n$ reaction

Abstract

We study the $K^{+}p\to {\pi }^{+}{K}^{+}n$ reaction with some kinematics suited to the production of the ${\Theta }^{+}$ resonance recently observed. We show that, independently of the quantum numbers of the ${\Theta }^{+}$, 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 ${\Theta }^{+}$ quantum numbers using the present reaction.

Comments: 21 pages, 8 figures, Version to appear in Phys. Lett. B