Semileptonic and nonleptonic B decays to three charm quarks: B->J/psi (eta_c) D l nu and J/psi (eta_c) D pi

Abstract

We evaluate the form factors describing the semileptonic decays $\overline{B^0}\to J/\psi ({\eta }_c)D^{+}{\ell }^{-}{\bar{\nu }}_{\ell }$, within the framework of a QCD relativistic potential model. This decay is complementary to $\overline{B^0}\to J/\psi ({\eta }_c)D^{+}{\pi }^{-}$ in a phase space region where a pion factors out.We estimate the branching ratio for these semileptonic and nonleptonic channels, finding $\mathcal{B}\mathcal{R}(\overline{B^0}\to J/\psi ({\eta }_c)D^{+}\ell {\nu }_{\ell })\simeq 10^{-13}$, $\mathcal{B}\mathcal{R}(\overline{B^0}\to J/\psi D^{+}{\pi }^{-})=3.1\times 10^{-8}$ and $\mathcal{B}\mathcal{R}(\overline{B^0}\to {\eta }_c{D}^{+}{\pi }^{-})=3.5\times 10^{-8}$.

14 pages, 4 figures

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