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Using the data accumulated in 2002-2004 with the DO detector inproton-antiproton collisions at the Fermilab Tevatron collider withcentre-of-mass energy 1.96 TeV, the branching fractions of the decays B ->\bar{D}_1^0(2420) \mu^+ \nu_\mu X and B -> \bar{D}_2^{*0}(2460) \mu^+ \nu_\mu Xand their ratio have been measured: BR(\bar{b}->B) \cdot BR(B-> \bar{D}_1^0\mu^+ \nu_\mu X) \cdot BR(\bar{D}_1^0 -> D*- pi+) =(0.087+-0.007(stat)+-0.014(syst))%; BR(\bar{b}->B)\cdot BR(B->D_2^{*0} \mu^+\nu_\mu X) \cdot BR(\bar{D}_2^{*0} -> D*- \pi^+) =(0.035+-0.007(stat)+-0.008(syst))%; and (BR(B -> \bar{D}_2^{*0} \mu^+ \nu_\muX)BR(D2*0->D*- pi+)) / (BR(B -> \bar{D}_1^{0} \mu^+ \nu_\mu X)\cdotBR(\bar{D}_1^{0}->D*- \pi^+)) = 0.39+-0.09(stat)+-0.12(syst), where the chargeconjugated states are always implied.Comment: submitted to Phys. Rev. Let

physical review letters

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Measurement of Semileptonic Branching Fractions ofBMesons to NarrowD**States