Abstract

We discusses the charge asymmetry in B → Doverline{D}K decays with an invariant mass of the Doverline{D} pair near the Ψ(3770) resonance. Unlike Ψ(3770) decays in e+e− annihilation, in B+ decays the probability of {D}^0{overline{D}}^0 production is almost three times higher than D+D−. In B0 decays, the ratio of these probabilities will be opposite. The effect is explained by the fact that, in B-meson decays, the Doverline{D} pair is produced in a superposition of isoscalar and isovector states, and only in combination with K-mesons the total state has 1/2 isospin. We present a simple model in which the interference of the nonresonant isovector amplitude with the resonant isoscalar amplitude explains the experimental data.

Highlights

  • The R ratio can be obtained from the Belle [19] and Babar [18] data

  • We present a simple model in which the interference of the nonresonant isovector amplitude with the resonant isoscalar amplitude explains the experimental data

  • We indicated a large difference in the probabilities of B+ → D+D−K+ and B+ → D0D 0K+ decays for the invariant mass of DDpair in the vicinity of the resonance Ψ(3770). This difference follows from the experimental data of LHCb and Babar

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Summary

Introduction

The R ratio can be obtained from the Belle [19] and Babar [18] data. Note that both measurements did not use amplitude analysis to obtain the number of events. We come to the important conclusion that the hadronic system of DDproduced in B+ decay in the vicinity of Ψ(3770) differs from the resonance Ψ(3770) observed in e+e− annihilation. How can this large charge asymmetry be explained?.

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