Branching ratios and CP asymmetries of $$B\rightarrow \chi _{c1}K(\pi ) $$ decays
Zhou Rui (College of Sciences, North China University of Science and Technology, Tangshan, 063009, China); Qiang Zhao (College of Sciences, North China University of Science and Technology, Tangshan, 063009, China); Li-li Zhang (Center for Publishing, North China University of Science and Technology, Tangshan, 063009, China)
We investigate the exclusive nonleptonic decays $$B\rightarrow \chi _{c1}K(\pi )$$ in the conventional perturbative QCD (PQCD) formalism. The predictions of branching ratios and CP asymmetries are given in detail. We compare our results with available experimental data as well as predictions of other theoretical studies existing in the literature. It seems that the branching ratios of $$B\rightarrow \chi _{c1} K$$ are more consistent with data than the earlier analyses. For the Cabibbo-suppressed $$B_s$$ decays, the branching ratios can reach the order of $$10^{-5}$$ , which would be straight forward for experimental observations. The numerical results show that the direct CP asymmetries of the concerned decays are rather small. The mixing-induced CP asymmetry in the $$B^0\rightarrow \chi _{c1}K_S$$ is very close to $$ \sin {2\beta }$$ , which suggests that this channel offer an alternative method for measuring the Cabbibo–Kobayashi–Maskawa (CKM) angle $$\beta $$ . The obtained results in the present work could be tested by further experiments in the LHCb and forthcoming Belle II.
