Strong and Electromagnetic Decays of X(1835) as a Baryonium State
Abstract
Description
With the assumption that the recently observed X(1835) is a baryonium state we have studied the strong decays of $X(1835) \to η^{(\prime)} π^+ π^-, η^{(\prime)} π^0 π^0$ and the electromagnetic decay of $X(1835) \to 2γ$ 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 $X(1835) \to η^{\prime} π^+ π^-$ is smaller than the observed data. The decay width for the radiative decay of $X(1835) \to 2γ$ is consistent with the assumption that it decays through the glueball. In addition, the width for the strong decay of $X(1835) \to ηπ^+ π^-$ is larger than that of the strong decay of $X(1835) \to η^{\prime} π^+ π^-$ due to the large phase space and coupling constant $g_{N\bar{N}η}$. From our investigation, it is not possible to interpret X(1835) as a baryonium.
Corrected typos
Corrected typos