The three-body Ξ·KβKΛβ, ΟKβKΛβ and KKβKΛβ
systems are investigated within the framework of fixed-center approximation to
the Faddeev equations, where KβKΛβ is treated as the scalar meson
f0β(1710). The interactions between Ο, Ξ·, K and Kβ are taking
from the chiral unitary approach. By scattering the Ξ· meson on the
clusterized (KβKΛβ)f0β(1710)β 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+(0β+). Its mass and width
are around 2054 MeV and 60 MeV, respectively. This state could be associated to
the Ξ·(2100) meson. For the Ο(KβKΛβ)f0β(1710)β scattering, we
find a bump structure around 1900-2000 MeV with quantum numbers
1β(0β+). While for the KKβKΛβ)f0β(1710)β system, there are
three structures. One of them is much 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.Comment: 10 pages, 15 figure