First measurements of absolute branching fractions of the ${\Xi }_c^{+}$ baryon at Belle

Abstract

We present the first measurements of the absolute branching fractions of ${\Xi }_c^{+}$ decays into ${\Xi }^{-}{\pi }^{+}{\pi }^{+}$ and $p{K}^{-}{\pi }^{+}$ final states. Our analysis is based on a data set of $(772\pm 11)\times 10^6$ $B\bar{B}$ pairs collected at the ${\rm Y}(4S)$ resonance with the Belle detector at the KEKB $e^{+}{e}^{-}$ collider. We measure the absolute branching fraction of ${\bar{B}}^0\to {\bar{\Lambda }}_c^{-}{\Xi }_c^{+}$ with the ${\Xi }_c^{+}$ recoiling against ${\bar{\Lambda }}_c^{-}$ in ${\bar{B}}^0$ decays resulting in $\mathcal{B}({\bar{B}}^0\to {\bar{\Lambda }}_c^{-}{\Xi }_c^{+})=[1.16\pm 0.42(stat.)\pm 0.15(syst.)]\times 10^{-3}$. We then measure the product branching fractions $\mathcal{B}({\bar{B}}^0\to {\bar{\Lambda }}_c^{-}{\Xi }_c^{+})\mathcal{B}({\Xi }_c^{+}\to {\Xi }^{-}{\pi }^{+}{\pi }^{+})$ and $\mathcal{B}({\bar{B}}^0\to {\bar{\Lambda }}_c^{-}{\Xi }_c^{+})\mathcal{B}({\Xi }_c^{+}\to p{K}^{-}{\pi }^{+})$. Dividing these product branching fractions by ${\bar{B}}^0\to {\bar{\Lambda }}_c^{-}{\Xi }_c^{+}$ yields: $\mathcal{B}({\Xi }_c^{+}\to {\Xi }^{-}{\pi }^{+}{\pi }^{+})=[2.86\pm 1.21(stat.)\pm 0.38(syst.)]\%$ and $\mathcal{B}({\Xi }_c^{+}\to p{K}^{-}{\pi }^{+})=[0.45\pm 0.21(stat.)\pm 0.07(syst.)]\%$. Our result for $\mathcal{B}({\Xi }_c^{+}\to {\Xi }^{-}{\pi }^{+}{\pi }^{+})$ can be combined with ${\Xi }_c^{+}$ branching fractions measured relative to ${\Xi }_c^{+}\to {\Xi }^{-}{\pi }^{+}{\pi }^{+}$ to set the absolute scale for many ${\Xi }_c^{+}$ branching fractions.

arXiv comment7 pages, 2 figures, accepted for publication as a Rapid Communication in Physical Review D

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