Charge asymmetry in decays $B\to D\bar{D}K$

Abstract

We discusses the charge asymmetry in $B\to D\bar{D}K$ decays with an invariant mass of the $D\bar{D}$ pair near the $\Psi (3770)$ resonance. Unlike $\Psi (3770)$ decays in $e^{+}{e}^{-}$ annihilation, in $B^{+}$ decays the probability of $D^0{\bar{D}}^0$ production is almost three times higher than $D^{+}{D}^{-}$. In $B^0$ decays, the ratio of these probabilities will be opposite. The effect is explained by the fact that, in $B$ -meson decays, the $D\bar{D}$ 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.

arXiv comment11 pages, 7 figures, version submitted to JHEP

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Cited by in corpus (7)

• How to understand the $X(2900)$?
• Discriminating among interpretations for the $X(2900)$ states
• On the structures of new scalar resonances $T_{cs0}^a(2900{)}^{++}$ and $T_{cs0}^a(2900{)}^0$
• Modeling the resonance $T_{cs0}^a(2900{)}^{++}$ as a hadronic molecule $D^{\ast +}{K}^{\ast +}$
• Magnetic moment of the $X_1(2900)$ state in the diquark-antidiquark picture
• Is the resonance $X_0(2900)$ a ground-state or radially excited scalar tetraquark $[ud][\overline{c}\overline{s}]$?
• Novel correlated $D^0\overline{D}{}^0$ systems for $c/b$ physics and tests of $T/CPT$