Form Factors and Decay of $\bar{B}_s^0\to J/\psi \phi$ From QCD Sum Rule

Abstract

We calculate $\bar{B}_s^0\to \phi$ translation form factors $V$, $A_0$, $A_1$, $A_2$ based on QCD sum rule and study the nonleptonic two-body decay of $\bar{B}_s^0\to J/\psi \phi$ with the form factors obtained. We calculate the time-integrated branching ratio of $\bar{B}_s^0\to J/\psi \phi$ decay. The results for both the total branching ratio and the cases for the final vectors in longitudinal and transverse polarizations are consistent with experimental data.