TY  - JOUR
AU  - Yamagata-Sekihara, J.
AU  - Nieves, J.
AU  - Oset, E.
PY  - 2011
DA  - 2011//
TI  - Couplings in coupled channels versus wave functions in the case of resonances: Application to the two A(1405) states
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 014003
EP  - 15pp
VL  - 83
IS  - 1
PB  - Amer Physical Soc
AB  - In this paper we develop a formalism to evaluate wave functions in momentum and coordinate space for the resonant states dynamically generated in a unitary coupled channel approach. The on-shell approach for the scattering matrix, commonly used, is also obtained in quantum mechanics with a separable potential, which allows one to write wave functions in a trivial way. We develop useful relationships among the couplings of the dynamically generated resonances to the different channels and the wave functions at the origin. The formalism provides an intuitive picture of the resonances in the coupled channel approach, as bound states of one bound channel, which decays into open ones. It also provides an insight and practical rules for evaluating couplings of the resonances to external sources and how to deal with final state interaction in production processes. As an application of the formalism we evaluate the wave functions of the two A(1405) states in the pi Sigma, (K) over barN, and other coupled channels. It also offers a practical way to study three-body systems when two of them cluster into a resonance.
SN  - 1550-7998
UR  - http://arxiv.org/abs/arXiv:1007.3923
UR  - https://doi.org/10.1103/PhysRevD.83.014003
DO  - 10.1103/PhysRevD.83.014003
LA  - English
N1  - ISI:000286761200002
ID  - Yamagata-Sekihara_etal2011
ER  -