Can the three new states around 2.2 GeV assign to $\omega(3D)$

TL;DR

This paper investigates three recently observed resonances around 2.2 GeV and suggests they are likely the $oldsymbol{ ext{omega}}(3D)$ meson state, using mass spectrum analysis and decay modeling.

Contribution

It proposes that the three new states are the same $ ext{omega}(3D)$ meson, providing a unified interpretation based on mass spectrum and decay calculations.

Findings

The three states may be identical $ ext{omega}(3D)$.

Mass spectrum matches the $ ext{omega}(3D)$ state predictions.

Decay patterns support the $ ext{omega}(3D)$ assignment.

Abstract

Recently, the BESIII Collaboration reported three resonances: $X(2232)$ with $M = 2232 \pm 19 \pm 27$ MeV and $\Gamma = 93 \pm 53 \pm 20$ MeV, $X(2200)$ whose mass $M = 2200 \pm 11 \pm 17$ MeV and width $\Gamma = 74 \pm 20 \pm 24$ MeV as well as $X(2222)$ which has mass of $2222 \pm 7 \pm 2$ MeV and the width of $59 \pm 30 \pm 6$ MeV. The mass spectrum of $\omega$ meson family is studied utilizing the modified Godfrey-Isgur model, and the two-body strong decays of $X(2232)$, $X(2200)$ and $X(2222)$ within two different approaches of the $^3P_0$ model. We find that the newly discovered states $X(2232)$, $X(2200)$ and $X(2222)$ may be the same and are most likely to be the $\omega(3D)$ state. The discovery could be useful in establishing entire $\omega$ mesons.