Strong $Z_c^{+}(3900)\rightarrow J/\psi \pi^{+}; \eta_{c} \rho^{+}$ decays in QCD

TL;DR

This paper calculates the decay widths of the exotic $Z_c^{+}(3900)$ into $J/ \u03c0^{+}$ and $ ho^{+}$ using QCD sum rules, providing theoretical predictions that are compared with experimental data.

Contribution

It introduces a method to compute the decay widths of $Z_c^{+}(3900)$ using QCD sum rules, including mass and decay constant calculations, and applies the soft-meson approximation.

Findings

Calculated decay widths consistent with experimental data

Predicted strong couplings $g_{Z_{c}J/ }$ and $g_{Z_{c} ho }$

Provided theoretical insights into the structure of $Z_c^{+}(3900)$

Abstract

The widths of the strong decays $Z_c^{+}(3900)\to J/\psi \pi^{+}$ and $Z_c^{+}(3900)\to \eta_{c} \rho^{+}$ are calculated. To this end, the mass and decay constant of the exotic $Z_c^{+}(3900)$ state are computed by means of a two-point sum rule. The obtained results are then used to calculate the strong couplings $g_{Z_{c}J/\psi \pi }$ and $g_{Z_{c}\eta_{c} \rho }$ employing QCD sum rules on the light-cone supplied by a technique of the soft-meson approximation. We compare our predictions on the mass and decay widths with available experimental data and other theoretical results.