Systematic analysis of the form factors of $B_c\to {\eta }_c$, $J/\psi$ and corresponding weak decays

Abstract

The form factors of $B_c\to {\eta }_c$ and $B_c\to J/\psi$ are analyzed in the framework of three-point QCD sum rules. In these analyses, the contributions of the vacuum condensate terms $⟨g_s^{2}GG⟩$ and $⟨g_s^{3}GGGf⟩$ are considered. In addition, the decay widths and branching ratios of several decay channels are obtained by using the calculated form factors. These decay processes include the nonleptonic decays of $B_c^{-}\to {\eta }_c{\pi }^{-}$, ${\eta }_c{K}^{-}$, ${\eta }_c{\rho }^{-}$, ${\eta }_c{K}^{\ast -}$, $B_c^{-}\to J/\psi {\pi }^{-}$, $J/\psi K^{-}$, $J/\psi {\rho }^{-}$, $J/\psi K^{\ast -}$, and the semileptonic decays of $B_c^{-}\to {\eta }_{c}l\bar{\nu }$, $B_c^{-}\to J/\psi l\bar{\nu }$. These results about the form factors and decay properties of $B_c$ meson provide useful information for us to study the heavy-quark dynamics and find new physics(NP) beyond Standard Model(SM).

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Cited by in corpus (5)

• Analysis of the strong vertices ${\Lambda }_c{D}^{(\ast )}{N}^{\ast }(1535)$ and ${\Lambda }_b{B}^{(\ast )}{N}^{\ast }(1535)$ in QCD sum rules
• Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays
• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays
• Baryons and baryoniums in the perspective of QCD sum rules
• Analysis of the form factors of $B_c\to D^{(\ast )}$, $D_s^{(\ast )}$ and their nonleptonic decays