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

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 $Y(4230)\to {\bar{D}}^{\ast -}{D}^{\ast 0}{\pi }^{+}$, ${\bar{D}}^{\ast -}{D}^0{\pi }^{+}$, $J/\psi {\pi }^{+}{\pi }^{-}$ 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.

Comments: 13 pages, 4 figures. arXiv admin note: text overlap with arXiv:2304.14153