PT Journal
AU Aceti, F
   Oset, E
TI Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves
SO Physical Review D
JI Phys. Rev. D
PY 2012
BP 014012
EP 12pp
VL 86
IS 1
DI 10.1103/PhysRevD.86.014012
LA English
AB 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.
ER