Study on the ${\rm Y}(1S)$ $\to$ $B_c{D}_s$ decay

Abstract

The branching ratio and direct $CP$ asymmetry of the ${\rm Y}(1S)$ $\to$ $B_c{D}_s$ weak decay are estimated with the perturbative QCD approach. It is found that (1) The direct $CP$-violating asymmetry is close to zero. (2) the branching ratio $\mathcal{B}r({\rm Y}(1S)\to B_c{D}_s)$ $\gtrsim$ $10^{-10}$ might be measurable at the future experiments.

Comments: 15 pages, 2 pages, revtex. arXiv admin note: substantial text overlap with arXiv:1701.04597