Abstract

The three-body systems ηK*K¯*, πK*K¯*, and KK*K¯* are further investigated within the framework of fixed-center approximation, where K*K¯* is treated as the fixed-center, corresponding to the possible scalar meson a0(1780) or the tensor meson f2′(1525). The interactions between η, π, K, and K* are taken from the chiral unitary approach. The resonance structures appear in the modulus squared of the three-body scattering amplitude and suggest that η/π/K−(K*K¯*)a0(1780)/f2′(1525) hadron state can be formed. By scattering the η meson on the fixed-center (K*K¯*)a0(1780), it is found that there is a distinct peak around 2100 MeV, as shown in the modulus squared of the three-body scattering amplitude, which can be associated with the meson π(2070). For the scattering of the η meson on the (K*K¯*)f2′(1525), a resonance structure around 1890 MeV is found and it can be associated with the η2(1870) meson. Other resonance structures are also found and can be associated with π2(1880) and η(2010). Published by the American Physical Society 2024

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