Abstract
We treat the $Y(4260)$ resonance as a four-quark state in the framework of the covariant confining quark model. We study two choices of the interpolating current, either the molecular-type current which effectively corresponds to the product of $D$ and ${\overline{D}}_{1}$ quark currents or tetraquark one. In both cases, we calculate the widths of decays $Y(4260)\ensuremath{\rightarrow}{Z}_{c}(3900)+\ensuremath{\pi}$ and $Y(4260)\ensuremath{\rightarrow}{D}^{(*)}+{\overline{D}}^{(*)}$. It is found that in both approaches the mode $Y\ensuremath{\rightarrow}{Z}_{c}^{+}+{\ensuremath{\pi}}^{\ensuremath{-}}$ is enhanced compared with the open-charm modes. However, the absolute value of the $Y\ensuremath{\rightarrow}{Z}_{c}^{+}+{\ensuremath{\pi}}^{\ensuremath{-}}$ decay width obtained in molecular picture is arguably too large. On the other hand, the value obtained in tetraquark picture is reasonable.
Highlights
We treat the Yð4260Þ resonance as a four-quark state in the framework of the covariant confining quark model
It is found that in both approaches the mode Y → Zþc þ π− is enhanced compared with the open-charm modes
The absolute value of the Y → Zþc þ π− decay width obtained in molecular picture is arguably too large
Summary
In 2005, BABAR Collaboration observed a broad resonance around 4.26 GeV in analyzing the mass spectrum of πþπ−J=ψ in initial-state-radiation (ISR) production eþe− → γISRπþπ−J=ψ [1]. In addition to Yð4260Þ, the BESIII Collaboration reported on the observation of another exotic state named as Zcð3900Þ in the reaction eþe− → πþπ−J=ψ [8] It carries an electric charge and couples to charmonium. The BESIII Collaboration observed a distinct charged structure in the ðDD ÃÞ∓ invariant mass distribution of the process eþe− → πÆðDD ÃÞ∓ [11] Assuming this structure and the Zcð3900Þ → πJ=ψ signal are from the same source, the ratio of partial widths is ΓðZc → DD ÃÞ=ΓðZc → πJ=ψÞ 1⁄4 6.2 Æ 2.7. Yð4260Þ has been identified as the low member of the pair ψð4SÞ − ψð3DÞ charmonium by using a simple quark model [25]
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