Likelihood analysis of the newly observed f_0(2020), f_0(2330) and f_0(2470) in J/ψ→γη^'η^' as high-lying unflavored scalar mesons

Inspired by the newly observed three scalar states f_0(2020), f_0(2330), and f_0(2470) by the BESII Collaboration in J/ψ→γη^'η^', we carried out the study of spectroscopic behavior of these high-lying unflavored scalar mesonic states. In this work, using the Regge trajectory analysis and the quark pair creation model, we discussed the assignments of the f_0(2020), f_0(2330), and f_0(2470) associated with the f_0(2200) as the isoscalar high-lying scalar mesonic states and predicted the spectroscopic properties of their high-lying partners. The present study may provide valuable information for the construction of the scalar meson family.