Analysis of the X(1835) and related baryonium states with Bethe-Salpeter equation

Abstract

In this article, we study the mass spectrum of the baryon-antibaryon bound states $p\bar{p}$, $\Sigma \bar{\Sigma }$, $\Xi \bar{\Xi }$, $\Lambda \bar{\Lambda }$, $p\bar{N}(1440)$, $\Sigma \bar{\Sigma }(1660)$, $\Xi {\bar{\Xi }}^{\prime }$ and $\Lambda \bar{\Lambda }(1600)$ with the Bethe-Salpeter equation. The numerical results indicate that the $p\bar{p}$, $\Sigma \bar{\Sigma }$, $\Xi \bar{\Xi }$, $p\bar{N}(1440)$, $\Sigma \bar{\Sigma }(1660)$, $\Xi {\bar{\Xi }}^{\prime }$ bound states maybe exist, and the new resonances X(1835) and X(2370) can be tentatively identified as the $p\bar{p}$ and $p\bar{N}(1440)$ (or $N(1400)\bar{p}$) bound states respectively with some gluon constituents, and the new resonance X(2120) may be a pseudoscalar glueball. On the other hand, the Regge trajectory favors identifying the X(1835), X(2120) and X(2370) as the excited ${\eta }^{\prime }(958)$ mesons with the radial quantum numbers $n=3$, 4 and 5, respectively.

13 pages, 2 figures, revise a number

References in corpus (13)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Confirmation of the X(1835) and observation of the resonances X(2120) and X(2370) in J/psi->gamma pi^+pi^-eta'
• Evidence that the Y(4660) is a f_0(980)psi' bound state
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• $X(1835)$ and $\eta (1760)$ observed by the BES Collaboration
• A model for the Delta(1600) resonance and gamma N -> Delta(1600) transition
• Gluons in glueballs: Spin or helicity?
• $X(1835)$ and the New Resonances $X(2120)$ and $X(2370)$ Observed by the BES Collaboration
• Observation of B0 to Lambda Lambdabar K0 and B0 to Lambda Lambdabar K*0 at Belle
• Rescattering Effect and Near Threshold Enhancement of $p\bar{p}$ System
• Strong and Electromagnetic Decays of X(1835) as a Baryonium State
• Scalar and Pseudoscalar Glueballs
• Analysis of the $X(1835)$ as a baryonium state with Bethe-Salpeter equation

Cited by in corpus (10)

• Baryonia and near-threshold enhancements
• Excited states of $\varphi$ meson
• Light baryonium spectrum
• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
• Constructing new pseudoscalar meson nonets with the observed $X(2100)$, $X(2500)$, and $\eta (2225)$
• Studying $X(2100)$ hadronic decays and predicting its pion and kaon induced productions
• The possible members of the $5^1{S}_0$ meson nonet
• Study of light tetraquark spectroscopy
• Looking for bound states and resonances in the ${\eta }^{\prime }K\bar{K}$ system
• Baryons and baryoniums in the perspective of QCD sum rules