$X(1835)$ and the New Resonances $X(2120)$ and $X(2370)$ Observed by the BES Collaboration

Abstract

We calculate the decay widths of both the second and the third radial excitations of $\eta$ and ${\eta }^{\prime }$ within the framework of ${}^3{P}_0$ model. After comparing the theoretical decay widths and decay patterns with the available experimental data of $\eta (1760)$, $X(1835)$, $X(2120)$ and $X(2370)$, we find that the interpretation of $\eta (1760)$ and $X(1835)$ as the second radial excitation of $\eta$ and ${\eta }^{\prime }$ crucially depends on the measured mass and width of $\eta (1760)$, which is still controversial experimentally. We suggest that there may be sizable $p\bar{p}$ content in $X(1835)$. $X(2120)$ and $X(2370)$ can not be understood as the third radial excitations of $\eta$ and ${\eta }^{\prime }$, $X(2370)$ probably is a mixture of ${\eta }^{\prime }(4{}^{1}S{}_0)$ and glueball.

arXiv comment20 pages, 6 figures

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Cited by in corpus (20)

• Categorizing resonances X(1835), X(2120) and X(2370) in the pseudoscalar meson family
• Bottomonium Spectrum with Coupled-Channel Effects
• Determination of spin-parity quantum numbers of X(2370) as $0^{-+}$ from $J/\psi \to \gamma K_S^0{K}_S^0{\eta }^{\prime }$
• Excited states of $\varphi$ meson
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• Strong decays of the $X(2500)$ newly observed by the BESIII Collaboration
• Potential higher radial excitations in the light pseudoscalar meson family
• Constructing new pseudoscalar meson nonets with the observed $X(2100)$, $X(2500)$, and $\eta (2225)$
• Possible Assignment of Excited Light ${}^3{S}_1$ Vector Mesons
• Revisiting the pseudoscalar meson and glueball mixing and key issues in the search for pseudscalar glueball state
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$
• Studying $X(2100)$ hadronic decays and predicting its pion and kaon induced productions
• The semileptonic baryonic decay $D_s^{+}\to p\bar{p}{e}^{+}{\nu }_e$
• The possible members of the $5^1{S}_0$ meson nonet
• Analysis of the X(1835) and related baryonium states with Bethe-Salpeter equation
• Study of light tetraquark spectroscopy
• Glueballs and vector mesons at NICA
• Dynamical generation of hadronic resonances
• Decay Widths of X(1835) as Nucleon-Antinucleon Bound State
• X(1870) and ${\eta }_2(1870)$: Which can be assigned as a hybrid state?