Faddeev fixed-center approximation to the ηK* over line K*, πK* over line K*, and KK* over line K* systems

The three-body eta K* over bar K*, pi K* over bar K*, and KK* over bar K* systems are investigated within the framework of fixed -center approximation to the Faddeev equations, where K* over bar K* is treated as the scalar meson f0(1710). The interactions between pi, eta, K, and K* are taken from the chiral unitary approach. By scattering the eta meson on the clusterized (K* over bar K*)f0(1710) system, we find a peak in the modulus squared of the three-body scattering amplitude and it can be associated as a bound state with quantum numbers IG(JPC) = 0+(0-+). Its mass and width are around 2054 and 60 MeV, respectively. This state could be associated with the eta(2100) meson. For the pi(K* over bar K*)f0(1710) scattering, we find a bump structure around 1900-2000 MeV with quantum numbers 1-(0-+), while for the K(K* over bar K*)f0(1710) system, there are three structures. One of them is quite stable and its mass is about 2130 MeV. It is expected that these theoretical predictions here could be tested by future experimental measurements, such as by the BESIII, BelleII, and LHCb Collaborations.

Automated summary

The three-body eta K* over bar K*, pi K* over bar K*, and KK* over bar K* systems are investigated using the fixed-center approximation to the Faddeev equations, where K* over bar K* is considered as the scalar meson f0(1710). The interactions between pi, eta, K, and K* are determined based on the chiral unitary approach. Based on the scattering of the eta meson on the clusterized (K* over bar K*)f0(1710) system, a peak is observed in the three-body scattering amplitude modulus, which is associated with a bound state with quantum numbers IG(JPC) = 0+(0-+). The mass and width of this state are estimated to be around 2054 and 60 MeV, respectively. The theoretical predictions presented in this study can be tested by future experimental measurements conducted by the BESIII, BelleII, and LHCb Collaborations.