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Radiative $\bar{B}^0(\bar{B}^0_s)\rightarrow J/\psi \gamma$ decays provide aninteresting case to test our understanding of (non)perturbative QCD andeventually to probe physics beyond the standard model. Recently, the LHCbCollaboration has reported an upper bound, updating the results of the BABARCollaboration. Previous theoretical predictions based on QCD factorization orperturbative QCD have shown large variations due to different treatment ofnonfactorizable contributions and meson-photon transitions. In this paper, wereport on a novel approach to estimate the decay rates, which is based on arecently proposed model for $B$ decays and the vector meson dominancehypothesis, widely tested in the relevant energy regions. The predictedbranching ratios are $\mathrm{Br}[\bar{B}^0\rightarrowJ/\psi\gamma]=\left(3.50\pm0.34^{+1.12}_{-0.63}\right)\times10^{-8}$ and$\mathrm{Br}[\bar{B}^0_s\rightarrowJ/\psi\gamma]=\left(7.20\pm0.68^{+2.31}_{-1.30}\right)\times10^{-7}$. The firstuncertainty is systematic and the second is statistical, originating from theexperimental $\bar{B}^0_s\rightarrow J/\psi \phi$ branching ratio.

Novel nonperturbative approach for radiative $\bar{B}^0(\bar{B}^0_s)\rightarrow J/\psi \gamma$ decays