Abstract
In the covariant light-front quark model, we calculate the form factors of Bc -→J/ψ and Bc -→X(3872). Since the factorization of the exclusive processes Bc -→J/ψπ-(K-) and Bc -→X(3872)π-(K-) can be proved in the soft-collinear effective theory, we can easily get the branching ratios for these decays from the form factors. Taking the uncertainties into account, our results for the branching ratio of Bc -→J/ψπ-(K-) are consistent with previous studies. By identifying X(3872) as a 1++ charmonium state, we obtain BR(Bc -→X(3872)π-)=(1.7+0.7+0.1+0.4 -0.6-0.2-0.4)×10-4 and BR(Bc -→X(3872)K-)=(1.3+0.5+0.1+0.3 -0.5-0.2-0.3)×10-5. Assuming X(3872) to be a 1– state, the branching ratios will be one order of magnitude larger than those of the 1++ state. These results can easily be used to test the charmonium description for this mysterious meson X(3872) at the LHCb experiment.
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