Abstract
Since the present $\omega$ meson family has not been established, in this work, we carry out an investigation of the mass spectrum and Okubo-Zweig-Iizuka a allowed two-body strong decay of the $S$-wave and the $D$-wave $\omega$ mesons, and make the comparison with the experimental data of these reported $\omega$ states and the $\omega$-like $X(2240)$ state observed by BESIII. By this study, we not only suggest the possible assignments to these observed $\omega$ states under the framework of the $\omega$ meson family, but also predict three $\omega$ mesons ($\omega(5S)$, $\omega(2D)$ , and $\omega(4D)$) which are still missing in experiment. The present study may provide valuable information to further construct the $\omega$ meson family. Considering the present running status of BESIII, we also suggest that BESIII should pay more attention to the issue of $\omega$ meson with accumulating more data.
Highlights
As a well-known established meson below 1 GeV, ωð782Þ is the ground state of the ω meson family
Since the present ω meson family has not been established, in this work we carry out an investigation of the mass spectrum and Okubo-Zweig-Iizuka allowed a two-body strong decay of the S-wave and the D-wave ω mesons, and make the comparison with the experimental data of these reported ω states and the ω-like Xð2240Þ state observed by BESIII
If you do not carefully read Particle Data Book from Particle Data Group (PDG) [1], you must intuitively think that the higher states of the ω family have to be established in experiment at least for these lower excitations
Summary
As a well-known established meson below 1 GeV, ωð782Þ is the ground state of the ω meson family. Since Xð2240Þ is from the eþe− annihilation, its JP must be 1− while its isospin can be either 0 or 1 This experimental phenomenon indicates that BESIII will be a good platform to study the higher states of the ω meson family. We will put Xð2240Þ and the other ω states together when discussing how to construct the ω meson family. In 2013, the Lanzhou group systematically studied the mass spectrum and decay behavior of these higher excited ρ mesons [17], and found two Regge trajectories: [ρð770Þ, ρð1450Þ, ρð1900Þ, ρð2150Þ] and [ρð1700Þ, ρð2000Þ, ρð2270Þ], in which the former one and the later one correspond to the S-wave and D-wave states in the ρ meson family, respectively.
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