Strong and Electromagnetic Decays of X(1835) as a Baryonium State

Abstract

With the assumption that the recently observed X(1835) is a baryonium state we have studied the strong decays of $X(1835)\to {\eta }^{(\prime )}{\pi }^{+}{\pi }^{-},{\eta }^{(\prime )}{\pi }^0{\pi }^0$ and the electromagnetic decay of $X(1835)\to 2\gamma$ in the framework of effective Lagrangian formalism. In the present investigation we have included the contributions from the iso-singlet light scalar resonances but we have not included the isospin violating effect. Our result for the strong decay of $X(1835)\to {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ is smaller than the observed data. The decay width for the radiative decay of $X(1835)\to 2\gamma$ is consistent with the assumption that it decays through the glueball. In addition, the width for the strong decay of $X(1835)\to \eta {\pi }^{+}{\pi }^{-}$ is larger than that of the strong decay of $X(1835)\to {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ due to the large phase space and coupling constant $g_{N\bar{N}\eta }$. From our investigation, it is not possible to interpret X(1835) as a baryonium.

arXiv commentCorrected typos

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• Analysis of the X(1835) and related baryonium states with Bethe-Salpeter equation
• Decay Widths of X(1835) as Nucleon-Antinucleon Bound State
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