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Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves
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Aceti, Francesca; Oset Báguena, Eulogio
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This document is a artículoDate2012
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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 Weinberg's 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 ρ meson indicating that it is not a composite particle of ππ but something else. |
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