Abstract
We calculate the branching ratio for the production of the meson Y(4260) in the decay B− → Y(4260)K−. We use QCD sum rules approach and we consider the Y(4260) to be a mixture between charmonium and exotic tetraquark, [c̄q̄][qc], states with JPC = 1−−. Using the value of the mixing angle determined previously as: θ = (53.0 ± 0.5)°, we get the branching ratio B(B → Y(4260)K) = (1.34 ± 0.47) x 10−6, which allows us to estimate an interval on the branching fraction 3.0 x 10−8 < BY < 1.8 x 10−6 in agreement with the experimental upper limit reported by Babar Collaboration.
Highlights
The Y (4260) state was first observed by BaBar collaboration in the e+e− annihilation through initial state radiation [1], and it was confirmed by CLEO and Belle collaborations [2]
It is important to notice that the authors in Ref. [29] have considered two pions in the final state coming only from intermediate states, e.g. σ and f0(980) mesons, which could indicate that the result in Eq (25) can be underestimated. In this sense, considering that the main decay channel observed for the Y (4260) state is into J/ψ π+π−, we would naively expect that the branching ratio into this channel could be B(Y (4260) → J/ψ π+π−) ∼ 1.0, which would lead to the following result, BY < 1.8 × 10−6
We have used the QCD sum rules (QCDSR) approach to evaluate the production of the Y (4260) state, considered as a mixed charmonium-tetraquark state, in the decay B → Y K
Summary
The Y (4260) state was first observed by BaBar collaboration in the e+e− annihilation through initial state radiation [1], and it was confirmed by CLEO and Belle collaborations [2]. We use QCD sum rules approach and we consider the Y (4260) to be a mixture between charmonium and exotic tetraquark, [cq][qc], states with JP C = 1−−. [29] with good agreement with data, considering it as a mixing between the J/ψ charmonium and a tetraquark state with one scalar and one vector diquarks in S-wave and qqlight quark components.
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