Measurement of the absolute branching fraction of the inclusive semileptonic $Λ_c^+$ decay

Abstract

Using a data sample corresponding to an integrated luminosity of 567 pb$^{-1}$ collected at a center-of-mass energy of $\sqrt{s}=4.6$ GeV with the BESIII detector, we measure the absolute branching fraction of the inclusive semileptonic $Λ_c^+$ decay with a double-tag method. We obtain $\mathcal{B}(Λ_c^+ \rightarrow X e^+ ν_e) = (3.95\pm0.34\pm0.09)\%$, where the first uncertainty is statistical and the second systematic. Using the known $Λ_c^+$ lifetime and the charge-averaged semileptonic decay width of nonstrange charmed measons ($D^0$ and $D^+$), we obtain the ratio of the inclusive semileptonic decay widths $Γ(Λ_c^+ \rightarrow X e^+ ν_e)/\barΓ(D\rightarrow X e^+ ν_e)= 1.26\pm0.12$.

7 pages, 3 figures