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In naive factorization approach, the branching ratios are estimated to be $\\mathcal{B}(\\bar{B}^0_s \\to J/\\psi\\gamma)=1.40\\times 10^{-6}$ and $\\mathcal{B}(\\bar{B}^0_d \\to J/\\psi\\gamma)=5.29\\times 10^{-8}$. In the framework of QCD factorization, we compute the non-factorizable corrections and get $\\mathcal{B}(\\bar{B}^0_s \\to J/\\psi\\gamma) = 2.11\\times10^{-7}$, $\\mathcal{B}(\\bar{B}^0_d \\to J/\\psi\\gamma) =7.65\\times10^{-9}$. 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