Eur. Phys. J. C (2007) 51: 841-847
https://doi.org/10.1140/epjc/s10052-007-0334-3

Regular Article - Theoretical Physics

Study of B_c ^-→X(3872)π^-(K^-) decays in the covariant light-front approach

Institute of High Energy Physics, Chinese Academy of Sciences, P.O.Box 918, Beijing, 100049, P.R. China

^* e-mail: lucd@ihep.ac.cn

Received: 23 April 2007
Published online: 1 August 2007

Abstract

In the covariant light-front quark model, we calculate the form factors of B_c ^-→J/ψ and B_c ^-→X(3872). Since the factorization of the exclusive processes B_c ^-→J/ψπ^-(K^-) and B_c ^-→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 B_c ^-→J/ψπ^-(K^-) are consistent with previous studies. By identifying X(3872) as a 1⁺⁺ charmonium state, we obtain BR(B_c ^-→X(3872)π^-)=(1.7^+0.7+0.1+0.4 _-0.6-0.2-0.4)×10^-4 and BR(B_c ^-→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.