S-wave and P-wave pion-pion and kaon-pion contributions to three-body decay processes in the Resonance-Spectrum Expansion

Abstract

We study S- and P-wave pion-pion and kaon-pion distributions for the three-body production processes $J/\psi \to \omega {\pi }^{+}{\pi }^{-}$, $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$, $D^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$, and $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$, by applying the Resonance-Spectrum Expansion to the two-body subamplitudes. The results are compared to the corresponding signals reported by the BES, E791 and FOCUS collaborations. We find that the studied S- and P-wave channels can largely account for the observed structures in the data up to 1 GeV.

Comments: 17 pages, 6 figures