Production of the Y(4260) State in B Meson Decay

TL;DR

This paper calculates the likelihood of producing the Y(4260) meson in B meson decays using QCD sum rules, considering it as a mixture of charmonium and tetraquark states, and compares results with experimental data.

Contribution

It provides a theoretical estimate of the branching ratio for Y(4260) production in B decays considering a mixed state model, aligning with experimental upper limits.

Findings

Branching ratio estimated as (1.34±0.47)×10⁻⁶

Interval for branching fraction: 3.0×10⁻⁸ to 1.8×10⁻⁶

Results consistent with Babar experimental upper limit

Abstract

We calculate the branching ratio for the production of the meson $Y(4260)$ in the decay $B^- \to Y(4260)K^-$. We use QCD sum rules approach and we consider the $Y(4260)$ to be a mixture between charmonium and exotic tetraquark, $[\bar{c}\bar{q}][qc]$, states with $J^{PC}=1^{--}$. Using the value of the mixing angle determined previously as: $\theta=(53.0\pm0.5)^\circ$, we get the branching ratio $\mathcal{B}(B\to Y(4260)K)=(1.34\pm0.47)\times10^{-6}$, which allows us to estimate an interval on the branching fraction $3.0 \times 10^{-8} < {\mathcal B}_{_Y} < 1.8 \times 10^{-6}$ in agreement with the experimental upper limit reported by Babar Collaboration.