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

TL;DR

This paper systematically studies the decay properties of several pseudoscalar mesons, proposing new categorizations for the resonances X(1835), X(2120), and X(2370) as radial excitations within the meson family.

Contribution

It introduces a categorization of the resonances X(1835), X(2120), and X(2370) as higher radial excitations of known eta mesons, supported by decay width calculations.

Findings

Decay widths of eta(1295), eta(1475), eta(1760) match experimental data.

X(1835) is likely the second radial excitation of eta'(958).

X(2120) and X(2370) are third and fourth radial excitations of eta(548)/eta'(958).

Abstract

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 $\eta(1295)/\eta(1475)$, $\eta(1760)/X(1835)$ 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 $\eta(548)/\eta^\prime(958)$. 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 $\eta^\prime(958)$; (3) X(2120) and X(2370) can be explained as the third and fourth radial excitations of $\eta(548)/\eta^\prime(958)$, respectively.