Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves

作者：Aceti F^*; Oset E

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2012, 86(1): 014012.

DOI：10.1103/PhysRevD.86.014012

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%26apos;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.

• 出版日期2012-7-11