Abstract

Based on the mechanism of neutral meson mixing, we predict the branching fraction of the semileptonic decay of Ds+→π0ℓ+νℓ (ℓ=e, μ) using recently measured branching fraction of Ds+→ηe+νe by BESIII experiment. We also give a formula that can describe the neutral meson mixing of π0, η, η′ and a pseudoscalar gluonium G in a unified way. The predicted branching fraction of Ds+→π0e+νe decay is B(Ds+→π0e+νe)=(2.65±0.38)×10−5. It is important to search for the decay Ds+→π0ℓ+νℓ in experiment, in order to understand the mechanism of π0 production in Ds+→π0 transition in semileptonic decay. We also estimate the branching fraction of Ds+→π0τ+ντ, which is the only kinematically allowed semi-tauonic decay mode of the charmed meson, since the mass value of Ds+ meson is just slightly above the threshold of π0τ+ generation in the semi-tauonic decay.

Highlights

  • Based on the mechanism of neutral meson mixing, we predict the branching fraction of the semileptonic decay of Ds+ → π0l+νl (l = e, μ) using recently measured branching fraction of Ds+ → ηe+νe by BESIII experiment

  • It is important to search for the decay Ds+ → π0l+νl in experiment, in order to understand the mechanism of π0 production in Ds+ → π0 transition in semileptonic decay

  • Meson mixing is an interesting phenomenon that can be used to explain some specific decay processes of heavy mesons. Both ω − φ mixing and weak annihilation are used as the mechanism that leads to the semileptonic decay of Ds+ → ωe+νe [11]

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Summary

Introduction

Based on the mechanism of neutral meson mixing, we predict the branching fraction of the semileptonic decay of Ds+ → π0l+νl (l = e, μ) using recently measured branching fraction of Ds+ → ηe+νe by BESIII experiment . Both ω − φ mixing and weak annihilation are used as the mechanism that leads to the semileptonic decay of Ds+ → ωe+νe [11]. [11] shows that, if the value of the branching fraction of Ds+ → ωe+νe exceeds 2 × 10−4, the nonperturbative weak annihilation effect rather than ω − φ mixing would be important in the decay.

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