Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays

Abstract

In this article, the vector, axial vector and tensor form factors of $B_c$ to $D$-wave charmonia ${\psi }_J$ ($J=1,2,3$) and ${\eta }_{c2}$ are analyzed within the framework of three-point QCD sum rules. With the estimated vector and axial vector form factors, we study the decay widths and branching ratios of semileptonic decays $B_c\to {\psi }_{J}l\overline{{\nu }_l}$ and $B_c\to {\eta }_{c2}l\overline{{\nu }_l}$. Our results indicate that the semileptonic decay branching ratios of $B_c$ to $D$-wave charmonia decreases as the total angler momentum of the final state $D$-wave charmonia increases. For decay processes $B_c\to {\psi }_{1}l{\bar{\nu }}_l$, $B_c\to {\psi }_2[{\eta }_{c2}]l{\bar{\nu }}_l$ and $B_c\to {\psi }_{3}l{\bar{\nu }}_l$, the branching ratios can reach the order $10^{-3}$, $10^{-4}$ and $10^{-5}$, respectively, which can provide a valuable reference for future experimental measurements for $B_c$ meson by LHCb collaboration. Furthermore, these results also can provide useful information to study the properties of $B_c$ meson and $D$-wave charmonia.

12 pages, 5 figures

References in corpus (16)

• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states
• Observation of the $\psi (1^3{D}_2)$ state in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma {\chi }_{c1}$ at BESIII
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• Weak productions of new charmonium in semi-leptonic decays of B_c
• Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios
• Observation of resonance structures in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\psi }_2(3823)$ and mass measurement of ${\psi }_2(3823)$
• Relativistic description of the semileptonic decays of bottom mesons
• Semileptonic B_{c} to P-Wave Charmonia Transitions within QCD Sum Rules
• The $B_c$ meson and its scalar cousin with the QCD sum rules
• Charmonium states in a coupled-channel model
• Branching fractions of $B_{(c)}$ decays involving $J/\psi$ and $X(3872)$
• Systematic analysis of the form factors of $B_c\to {\eta }_c$, $J/\psi$ and corresponding weak decays
• The ground states and the first radially excited states of D-wave vector $\rho$ and $\varphi$ mesons
• New Sum Rules for the $B_c\to J/\psi$ Form Factors

Cited by in corpus (2)

• Analysis of the semileptonic decays ${\Sigma }_b\to {\Sigma }_{c}l{\bar{\nu }}_l$, ${\Xi }_b^{\prime }\to {\Xi }_c^{\prime }l{\bar{\nu }}_l$ and ${\Omega }_b\to {\Omega }_{c}l{\bar{\nu }}_l$ in QCD sum rules
• Systematic analysis of the D-wave charmonium states with the QCD sum rules