Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves
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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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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 Perfil
Aquest document és un/a article, creat/da en: 2012
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.

    Aceti, Francesca Oset Báguena, Eulogio 2012 Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves Physical Review D 86 1 014012
http://dx.doi.org/10.1103/PhysRevD.86.014012
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