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 Xd2370), in this work we systematically study the two-body strong decays and double pion decays of eta(1295)/eta(1475), eta(1760)/X(1835), and X(2120)/X(2370) by categorizing eta(1295)/eta(1475), eta(1760)/X(1835), X(2120), and X(2370) as the radial excitations of eta(548)/eta'(958). Our numerical results indicate the followings: (1) The obtained theoretical strong decay widths of three pseudoscalar states eta(1295), eta(1475), and eta(1760) are consistent with the experimental measurements; (2) X(1835) could be the second radial excitation of eta'(958); (3) X(2120) and X(2370) can be explained as the third and fourth radial excitations of eta(548)/eta'(958), respectively. The predicted two-body decay patterns of eta(1295)/eta(1475), eta(1760)/X(1835), and X(2120)/X(2370) and their double pion decays should be useful for further testing the conventional meson assignment to eta(1295)/eta(1475), eta(1760)/X(1835), X(2120), and X(2370).