The possible members of the $$5^1S_0$$ 51S0 meson nonet

Abstract

Abstract The strong decays of the $$5^1S_0$$ 51S0 $$q{\bar{q}}$$ qq¯ states are evaluated in the $$^3P_0$$ 3P0 model with two types of space wave functions. Comparing the model expectations with the experimental data for the $$\pi (2360)$$ π(2360) , $$\eta (2320)$$ η(2320) , X(2370), and X(2500), we suggest that the $$\pi (2360)$$ π(2360) , $$\eta (2320)$$ η(2320) , and X(2500) can be assigned as the members of the $$5^1S_0$$ 51S0 meson nonet, while the $$5^1S_0$$ 51S0 assignment for the X(2370) is not favored by its width. The $$5^1S_0$$ 51S0 kaon is predicted to have a mass of about 2418 MeV and a width of about 163 or 225 MeV.