Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules

TL;DR

This paper investigates the three-body strong decays of the $Y(4230)$, modeled as a vector tetraquark, using light-cone QCD sum rules, and finds the direct decay widths are too small, suggesting intermediate states are involved.

Contribution

It introduces a tetraquark model for $Y(4230)$ and applies light-cone QCD sum rules to analyze its three-body decays, highlighting the need for intermediate states.

Findings

Partial decay widths are too small to match experimental data.

Decays likely proceed via intermediate meson states.

Branching fractions can help identify the nature of $Y$ states.

Abstract

We tentatively assign the $Y(4230)$ as the vector tetraquark state with a relative P-wave between the scalar diquark pair, and explore the three-body strong decays $Y(4230) \to \bar{D}^{*-}D^{*0}\pi^+$, $\bar{D}^{*-}D^0\pi^+$, $J/\psi\pi^+\pi^- $ and $ J/\psi K^+K^-$ with the light-cone QCD sum rules by assuming contact four-meson coupling constants. The resulting partial decay widths are too small to account for the experimental data, and we expect those decays take place through an intermediate meson. We can search for the intermediate states and precisely measure the branching fractions to diagnose the nature of the $Y$ states.