Excited $\rho$ mesons in $B_{c}\to\psi^{(')}KK_{S}$ decays

Abstract

In the presented paper exclusive decays $B_{c}\to J/\psi KK_{S}$ and $B_{c}\to\psi(2S)KK_{S}$ are analyzed. It is shown that contributions of the excited $\rho$ mesons should be taken into account to describe these decays. It is also shown that, unlike the corresponding $\tau$ lepton decays, peaks in $m_{KK_{S}}$ distributions caused by these resonances are clearly seen and can be easily separated. Theoretical predictions for the branching fractions of the reactions and $m_{\psi K}$ distributions are also presented.