Hadronic molecules and scattering amplitudes from the nonrelativistic quark model

Abstract

This report summarizes recent calculations of low-energy hadron-hadron scattering amplitudes in the nonrelativistic quark potential model, which assume that the scattering mechanism is a single interaction (usually OGE) followed by constituent interchange. We refer to the scattering diagrams as «quark Born diagrams». For the cases chosen to isolate this mechanism,I=2ππ,I=3/2 Kπ, KN andNN, the results are usually in good agreement with experimentalS-wave scattering amplitudes given standard potential- model parameters. These calculations also lead to predictions of vector-vector bound states, one of which may be the ϑ(1710). This assignment can be tested by searches for $$K\bar K\pi \pi $$ and φπ0γ decay modes of the ϑ(1710).