Abstract
In this article, we choose the [sc]_P[bar{s}bar{c}]_A-[sc]_A[bar{s}bar{c}]_P type tetraquark current to study the hadronic coupling constants in the strong decays Y(4660)rightarrow J/psi f_0(980), eta _c phi (1020), chi _{c0}phi (1020), D_s bar{D}_s, D_s^* bar{D}^*_s, D_s bar{D}^*_s, D_s^* bar{D}_s, psi ^prime pi ^+pi ^-, J/psi phi (1020) with the QCD sum rules based on solid quark-hadron quality. The predicted width Gamma (Y(4660) )= 74.2^{+29.2}_{-19.2},mathrm{{MeV}} is in excellent agreement with the experimental data 68pm 11pm 1 { text{ MeV }} from the Belle collaboration, which supports assigning the Y(4660) to be the [sc]_P[bar{s}bar{c}]_A-[sc]_A[bar{s}bar{c}]_P type tetraquark state with J^{PC}=1^{--}. In calculations, we observe that the hadronic coupling constants |G_{Ypsi ^prime f_0}|gg |G_{Y J/psi f_0}|, which is consistent with the observation of the Y(4660) in the psi ^prime pi ^+pi ^- mass spectrum, and favors the psi ^{prime }f_0(980) molecule assignment. It is important to search for the process Y(4660)rightarrow J/psi phi (1020) to diagnose the nature of the Y(4660), as the decay is greatly suppressed.
Highlights
In 2007, the Belle collaboration observed the Y (4360) and Y (4660) in the π +π −ψ invariant mass distribution with statistical significances 8.0σ and 5.8σ respectively in the p√resce=ss e+e− → γISRπ +π −ψ 5.5 GeV using 673fb−1 of between threshold data collected with and theBelle detector at KEKB [1]
In Refs. [23,24,25,34,35], we study the mass spectrum of the vector tetraquark states in a comprehensive way by carrying out the operator product expansion up to the vacuum condensates of dimension 10, and use the energy scale formula μ =
We assign the Y (4660) to be the [sc]P [sc]A − [sc]A[sc]P type vector tetraquark state, and study the strong decays Y (4660) → J/ψ f0(980), ηcφ(1020), χc0φ(1020), Ds Ds, Ds∗ Ds∗, Ds Ds∗, Ds∗ Ds, ψ π +π −, J/ψφ(1020) with the QCD sum rules based on the solid quark-hadron duality, and reexamine the assignment of the Y (4660)
Summary
In 2007, the Belle collaboration observed the Y (4360) and Y (4660) in the π +π −ψ invariant mass distribution with statistical significances 8.0σ and 5.8σ respectively in the p√resce=ss e+e− → γISRπ +π −ψ 5.5 GeV using 673fb−1 of between threshold data collected with and the. [10], we take the nonet scalar mesons below 1 GeV as the two-quark-tetraquark mixed states and study their masses and pole residues with the QCD sum rules in details. [36], we assign the Zc±(3900) to be the diquarkantidiquark type axialvector tetraquark state, study the hadronic coupling constants G Zc J/ψπ , G Zcηcρ , G Zc DD ∗ with the QCD sum rules by taking into account both the connected and disconnected Feynman diagrams in the operator product expansion. We assign the Y (4660) to be the [sc]P [sc]A − [sc]A[sc]P type vector tetraquark state, and study the strong decays Y (4660) → J/ψ f0(980), ηcφ(1020), χc0φ(1020), Ds Ds , Ds∗ Ds∗, Ds Ds∗, Ds∗ Ds , ψ π +π −, J/ψφ(1020) with the QCD sum rules based on the solid quark-hadron duality, and reexamine the assignment of the Y (4660). We insert a complete set of intermediate hadronic states with the same quantum numbers as the current operators JA(0), JB(x), JC (y) into the threepoint correlation functions ( p, q) and isolate the ground state contributions to obtain the result [39,40,41],
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