Prediction of possible exotic states in the system * * Partly supported by the National Natural Science Foundation of China (11735003, 1191101015, 11475227), and by the Youth Innovation Promotion Association CAS (2016367)

Abstract

We investigate the three-body system in order to look for possible exotic states in the framework of the fixed-center approximation of the Faddeev equation. We assume the scattering of on a clusterized system , which is known to generate , or a in a clusterized system , which is shown to generate . In the case of - scattering, we find evidence of a bound state below the threshold with a mass of around 1700 MeV and a width of about 180 MeV. Considering - scattering, we obtain a bound state just below the threshold with a mass of around 1680 MeV and a width of about 160 MeV.