Abstract
In the present work, we use three-body interaction formalism to investigate the –multi- interactions. First, we reproduce the resonances and in the and two-body interactions, respectively, as the clusters of the fixed-center approximation. Then, we study the three-body and interactions with the fixed-center approximation of the Faddeev equations. Furthermore, we extrapolate the formalism to study the four-body, five-body, and six-body systems containing one meson and multiple mesons. In our research, without introducing any free parameters, we generate the state in the three-body interaction with the mass of 1707 MeV and a width about 113 MeV, which are consistent with the experiments. We also find a clear resonant structure in our results of the five-body interaction, with a mass 2505 MeV and a width about 32 MeV or more, which is associated with the state, where we obtain consistent results with the experimental findings. Furthermore, we predict some new states in the other many-body interactions, , (isospin ), and (isospin ), with uncertainties.
3 More- Received 6 February 2015
DOI:https://doi.org/10.1103/PhysRevD.92.054011
© 2015 American Physical Society