$X(1835)$ 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.

20 pages, 6 figures

References in corpus (4)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• $X(1835)$ and $\eta (1760)$ observed by the BES Collaboration
• Rescattering Effect and Near Threshold Enhancement of $p\bar{p}$ System
• A possible mechanism for producing the threshold enhancement in $J/\psi \to \gamma p\bar{p}$

Cited by in corpus (6)

• Determination of spin-parity quantum numbers of X(2370) as $0^{-+}$ from $J/\psi \to \gamma K_S^0{K}_S^0{\eta }^{\prime }$
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• Potential higher radial excitations in the light pseudoscalar meson family
• Possible Assignment of Excited Light ${}^3{S}_1$ Vector Mesons
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$
• Study of light tetraquark spectroscopy