First measurements of absolute branching fractions of ${\Xi }_c^0$ at Belle

Abstract

We present the first measurements of absolute branching fractions of ${\Xi }_c^0$ decays into ${\Xi }^{-}{\pi }^{+}$, $\Lambda K^{-}{\pi }^{+}$, and $p{K}^{-}{K}^{-}{\pi }^{+}$ final states. The measurements are made using a data set comprising $(772\pm 11)\times 10^6$ $B\bar{B}$ pairs collected at the ${\rm Y}(4S)$ resonance with the Belle detector at the KEKB $e^{+}{e}^{-}$ collider. We first measure the absolute branching fraction for $B^{-}\to {\bar{\Lambda }}_c^{-}{\Xi }_c^0$ using a missing-mass technique; the result is $\mathcal{B}(B^{-}\to {\bar{\Lambda }}_c^{-}{\Xi }_c^0)=(9.51\pm 2.10\pm 0.88)\times 10^{-4}$. We subsequently measure the product branching fractions $\mathcal{B}(B^{-}\to {\bar{\Lambda }}_c^{-}{\Xi }_c^0)\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{\pi }^{+})$, $\mathcal{B}(B^{-}\to {\bar{\Lambda }}_c^{-}{\Xi }_c^0)\mathcal{B}({\Xi }_c^0\to \Lambda K^{-}{\pi }^{+})$, and $\mathcal{B}(B^{-}\to {\bar{\Lambda }}_c^{-}{\Xi }_c^0)\mathcal{B}({\Xi }_c^0\to p{K}^{-}{K}^{-}{\pi }^{+})$ with improved precision. Dividing these product branching fractions by the result for $B^{-}\to {\bar{\Lambda }}_c^{-}{\Xi }_c^0$ yields the following branching fractions: $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{\pi }^{+})=(1.80\pm 0.50\pm 0.14)\%$, $\mathcal{B}({\Xi }_c^0\to \Lambda K^{-}{\pi }^{+})=(1.17\pm 0.37\pm 0.09)\%$, and $\mathcal{B}({\Xi }_c^0\to p{K}^{-}{K}^{-}{\pi }^{+})=(0.58\pm 0.23\pm 0.05)\%.$ For the above branching fractions, the first uncertainties are statistical and the second are systematic. Our result for $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{\pi }^{+})$ can be combined with ${\Xi }_c^0$ branching fractions measured relative to ${\Xi }_c^0\to {\Xi }^{-}{\pi }^{+}$ to yield other absolute ${\Xi }_c^0$ branching fractions.

arXiv comment7 pages, 3 figures, 1 table; accepted for publication as a Letter in Physical Review Letters

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