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

TL;DR

This study investigates the decay modes of X(1835) assuming it is a baryonium, finding that some decay widths align with glueball decay hypotheses, but overall results challenge the baryonium interpretation.

Contribution

The paper provides a detailed analysis of X(1835) decays within an effective Lagrangian framework, including scalar resonance contributions, to test the baryonium hypothesis.

Findings

Decay width for X(1835) to eta' pi+ pi- is smaller than observed.

Radiative decay width aligns with glueball decay scenario.

Strong decay widths suggest X(1835) is unlikely a baryonium.

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.