Strong decays of the Y(4660) as a vector tetraquark state in solid quark-hadron duality

In this article, we choose the [sc]P[s̄c̄]A-[sc]A[s̄c̄]P type tetraquark current to study the hadronic coupling constants in the strong decays Y(4660)→ J/ψ f₀(980) , η c φ (1020) , χ c0φ (1020) , Dₛ D̄ₛ , Dₛ^* D̄^*ₛ , Dₛ D̄^*ₛ , Dₛ^* D̄ₛ , ψ ^ π ⁺π ⁻ , J/ψ φ (1020) with the QCD sum rules based on solid quark-hadron quality. The predicted width Γ (Y(4660) )= 74.2+29.2-19.2\,MeV is in excellent agreement with the experimental data 68± 11± 1 MeV from the Belle collaboration, which supports assigning the Y(4660) to be the [sc]P[s̄c̄]A-[sc]A[s̄c̄]P type tetraquark state with JPC=1⁻⁻ . In calculations, we observe that the hadronic coupling constants |GYψ ^ f₀| |GY J/ψ f₀| , which is consistent with the observation of the Y(4660) in the ψ ^ π ⁺π ⁻ mass spectrum, and favors the ψ f₀(980) molecule assignment. It is important to search for the process Y(4660)→ J/ψ φ (1020) to diagnose the nature of the Y(4660), as the decay is greatly suppressed.