Analysis of the form factors of $B_c\rightarrow D^{(*)}$, $D_{s}^{(*)}$ and their nonleptonic decays

TL;DR

This paper calculates the form factors of various Bc meson transitions using QCD sum rules and predicts decay widths and branching ratios for several nonleptonic decay channels, providing insights into heavy-quark dynamics.

Contribution

It introduces a comprehensive calculation of Bc transition form factors and decay properties within the QCD sum rules framework, including multiple nonperturbative contributions.

Findings

Calculated form factors for Bc to D, D*, Ds, D_s* transitions.

Predicted decay widths and branching ratios for multiple nonleptonic Bc decays.

Provided data useful for studying heavy-quark dynamics.

Abstract

This article is devoted to calculating the form factors of $B_c \to D^{*}$, $B_c \to D$, $B_c \to D_s^{*}$ and $B_c \to D_s$ transitions in the framework of three-point QCD sum rules. At the QCD side, the contributions of $\langle\overline{q}q\rangle$, $\langle\overline{q}g_{s}\sigma Gq\rangle$, $\langle g_{s}^{2}G^{2}\rangle$, $\langle f^{3}G^{3}\rangle$ and $\langle\overline{q}q\rangle \langle g_{s}^{2}G^{2}\rangle$ are taken into account. With the obtained form factors, the decay widths and branching ratios of several two-body nonleptonic decay processes $B_c \to \eta_c D^{*}$, $\eta_c D$, $ J/\psi D^{*}$, $ J/\psi D$, $\eta_c D_s^{*}$, $\eta_c D_s$, $J/\psi D_s^{*}$ and $J/\psi D_s$ are predicted. These results about the form factors and decay properties of $B_c$ meson provide useful information for us to study the heavy-quark dynamics.