Abstract
The mass spectrum and strong decays of theX(1870)andη2(1870)are analyzed. Our results indicate thatX(1870)andη2(1870)are the two different resonances. The narrowerX(1870)seems likely a good hybrid candidate. We support theη2(1870)as theη2(21D2)quarkonium. We suggest to search the isospin partner ofX(1870)in the channels ofJ/ψ⟶ρf0980πandJ/ψ⟶ρb11235πin the future. The latter channel is very important for testing the hybrid scenario.
Highlights
An isoscalar resonant structure of X(1870) was observed by the BESIII Collaboration with a statistical significance of 7.2σ in the processes J/ψ → ωX(1870) → ωηπ+π− recently [1]
The mass spectrum is studied in the GI potential model and the Regge trajectories (RTs) framework
In RTs, the possible assignments are the η(31S0), f1(23P1) and η2(21D2) states. They are good hybrid candidates since the masses overlap the predictions given by different models
Summary
An isoscalar resonant structure of X(1870) was observed by the BESIII Collaboration with a statistical significance of 7.2σ in the processes J/ψ → ωX(1870) → ωηπ+π− recently [1]. It should be stressed that radiative J/ψ decay channels (Figure 1(a)) and pp annihilation processes are the ideal glueball hunting grounds. A2(1320)π)/Γ(η2(1870) → a0(980)π) = 32.6 ± 12.6 reported by the WA102 Collaboration indicates that the decay channel of a0(980)π is tiny for η2(1870) [7]. This has been confirmed by an extensive reanalysis of the Crystal Barrel data [10]. The analysis of BESIII Collaboration indicates that the X(1870) primarily decays via the a0(980)π channel [1]. The present measurements of the decay widths, productions, and decay properties suggest that η2(1870) and X(1870) are two different isoscalar mesons. The decay width of isoscalar 2−+ hybrid is expected to be narrow [16].
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