Journal
PHYSICAL REVIEW D
Volume 86, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.86.014012
Keywords
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Funding
- DGICYT [FIS2011-28853-C02-01]
- Generalitat Valenciana in the program Prometeo [2009/090]
- E.U. Integrated Infrastructure Initiative Hadron Physics 3 Project [283286]
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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 rho meson indicating that it is not a composite particle of pi pi and K (K) over bar but something else.
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