# Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves

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In this paper we present the connection between scattering amplitudes in momentum space and wave functions in coordinate space, generalizing previous work done for s-waves to any partial wave. The relationship to the wave function of the residues of the scattering amplitudes at the pole of bound states or resonances is investigated in detail. A sum rule obtained for the couplings provides a generalization to coupled channels, any partial wave and bound or resonance states, of Weinbergs compositeness condition, which was only valid for weakly bound states in one channel and s-wave. An example, requiring only experimental data, is shown for the $ho$ meson indicating that it is not a composite particle of $\pi \pi$ but something else.

Autor: F. Aceti; E. Oset

Fuente: https://archive.org/