TY  - JOUR
AU  - Aceti, F.
AU  - Oset, E.
PY  - 2012
DA  - 2012//
TI  - Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 014012
EP  - 12pp
VL  - 86
IS  - 1
PB  - Amer Physical Soc
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.
SN  - 1550-7998
UR  - http://arxiv.org/abs/1202.4607
UR  - https://doi.org/10.1103/PhysRevD.86.014012
DO  - 10.1103/PhysRevD.86.014012
LA  - English
N1  - WOS:000306319500003
ID  - Aceti+Oset2012
ER  -