Potential higher radial excitations in the light pseudoscalar meson family

TL;DR

This paper investigates potential higher radial excitations in the light pseudoscalar meson family, analyzing their mass spectrum, decay behaviors, and proposing experimental searches based on recent BESIII observations.

Contribution

The study provides a detailed analysis of the mass spectrum and decay properties of the 6S and 7S radial excitations in the pseudoscalar meson family, offering new experimental search suggestions.

Findings

Identification of potential higher radial excitations around 2.6 GeV.

Predictions of decay behaviors relevant for experimental detection.

Proposals for future experimental searches based on reaction calculations.

Abstract

Inspired by the event accumulation around 2.6 GeV in the $\eta^\prime\pi^+\pi^-$ invariant mass spectrum of $J/\psi\to \gamma \eta^\prime\pi^+\pi^-$, which was reported by the BESIII Collaboration, we carry out the study of the mass spectrum and decay behavior of four radial excitations in the pseudoscalar meson family, which include $\eta^{(\prime)}(6S)$ and $\eta^{(\prime)}(7S)$. Combining with these analysis, we present the calculation of the reactions induced by a pion or kaon on the proton target which are relevant to these four discussed states. According to this information, we give concrete experimental suggestion of searching for them, which will become a new task for future experiments.