Inspired by the newly observed three scalar states f0(2020), f0(2330), and f0(2470) by the BESIII 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 phenomenological description of radial (n,M2) trajectory and the quark pair creation model, we discussed the assignments of the f0(2020), f0(2330), and f0(2470) associated with the f0(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. Published by the American Physical Society 2024