Fragmentation-fraction ratio $f_{{\Xi }_b}/f_{{\Lambda }_b}$ in $b$- and $c$-baryon decays

Abstract

We study the ratio of fragmentation fractions, $f_{{\Xi }_b}/f_{{\Lambda }_b}$, from the measurement of ${\Xi }_b^0\to {\Xi }_c^{+}{\pi }^{-}$ and ${\Lambda }_b^0\to {\Lambda }_c^{+}{\pi }^{-}$ with ${\Xi }_c^{+}/{\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$. With the branching fraction $\mathcal{B}({\Xi }_c^{+}\to p{K}^{-}{\pi }^{+})=(2.2\pm 0.8)\%$ obtained under the U-spin symmetry, the fragmentation ratio is determined as $f_{{\Xi }_b}/f_{{\Lambda }_b}$=$0.054\pm 0.020$. To reduce the above uncertainties, we suggest to measure the branching fractions of ${\Xi }_c^{+}\to p{\overline{K}}^{\ast 0}$ and ${\Lambda }_c^{+}\to {\Sigma }^{+}{K}^{\ast 0}$ at BESIII, Belle(II) and LHCb.

arXiv comment13 pages, 1 table, 1 figure. Version published in EPJC

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• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
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• Constraints on new physics from decays of polarized ${\Lambda }_b^0$ baryons at the FCC-ee