%0 Journal Article
%T Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves
%A Aceti, F.
%A Oset, E.
%J Physical Review D
%D 2012
%V 86
%N 1
%I Amer Physical Soc
%@ 1550-7998
%G English
%F Aceti+Oset2012
%O WOS:000306319500003
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1099), last updated on Thu, 09 Aug 2012 16:22:15 +0000
%X 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 rho meson indicating that it is not a composite particle of pi pi and K (K) over bar but something else.
%R 10.1103/PhysRevD.86.014012
%U http://arxiv.org/abs/1202.4607
%U https://doi.org/10.1103/PhysRevD.86.014012
%P 014012-12pp