$f_J(2220)$ and Hadronic ${\bar{B}}_s^0$ Decays

Abstract

We study the hadronic ${\bar{B}}_s^0$ decays based on the existence of the resonant state $f_J(2220)$. In particular, we are able to explain the unexpected large experimental result of $\mathcal{B}({\bar{B}}_s^0\to J/\psi p\bar{p})=(3.0_{-1.1}^{+1.2}\pm 0.52\pm 0.03)\times 10^{-6}$ measured recently by the LHCb collaboration due to the resonant contribution in ${\bar{B}}_s^0\to J/\psi f_J(2220)$ with $f_J(2220)\to p\bar{p}$, while it is estimated to be at most of order $10^{-9}$ in terms of the OZI rule without the resonance. In addition, we find that $\mathcal{B}({\bar{B}}_s^0\to D^{\ast 0}(f_J\to )p\bar{p})=(4.05\pm 2.46)\times 10^{-7}$, $\mathcal{B}({\bar{B}}_s^0\to J/\psi (f_J\to )\pi \pi )=(15.6\pm 15.2)\times 10^{-6}$ and $\mathcal{B}({\bar{B}}_s^0\to D^{\ast 0}(f_J\to )\pi \pi )=(21.2\pm 20.9)\times 10^{-7}$, while $\mathcal{B}({\bar{B}}_s^0\to J/\psi (f_J\to )K\bar{K})<1.6\times 10^{-5}$ and $\mathcal{B}({\bar{B}}_s^0\to D^{\ast 0}(f_J\to )K\bar{K})<2.2\times 10^{-6}$. Moreover, we predict that the decay branching ratios of ${\bar{B}}_s^0\to (J/\psi ,D^{\ast 0})\Lambda \bar{\Lambda }$ are $(2.68\pm 1.23)\times 10^{-7}$ and $(2.25\pm 0.80)\times 10^{-6}$. Some of the predicted ${\bar{B}}_s^0$ decays are accessible to the experiments at the LHCb.

Comments: 10 pages, 2 figures, updated version accepted by EPJC