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Categorizing resonances X(1835), X(2120) and X(2370) in the pseudoscalar meson family

Inspired by the newly observed three resonances X(1835), X(2120) and X(2370), in this work we systematically study the two-body strong decays and double pion decays of $η(1295)/η(1475)$, $η(1760)/X(1835)$ and $X(2120)/X(2370)$ by categorizing $η(1295)/η(1475)$, $η(1760)/X(1835)$, X(2120) and X(2370) as the radial excitations of $η(548)/η^\prime(958)$. Our numerical results indicate the followings: (1) The obtained theoretical strong decay widths of three pseudoscalar states $η(1295)$, $η(1475)$ and $η(1760)$ are consistent with the experimental measurements; (2) X(1835) could be the second radial excitation of $η^\prime(958)$; (3) X(2120) and X(2370) can be explained as the third and fourth radial excitations of $η(548)/η^\prime(958)$, respectively.