Fragmentation-fraction ratio $f_{Ξ_b}/f_{Λ_b}$ in $b$- and $c$-baryon decays

Abstract

We study the ratio of fragmentation fractions, $f_{Ξ_b}/f_{Λ_b}$, from the measurement of $Ξ_b^0\to Ξ_c^+π^-$ and $Λ_b^0\to Λ_c^+π^-$ with $Ξ_{c}^{+}/Λ_{c}^{+}\to p K^-π^+$. With the branching fraction $\mathcal{B}(Ξ_c^+\to pK^-π^+)=(2.2\pm0.8)\%$ obtained under the U-spin symmetry, the fragmentation ratio is determined as $f_{Ξ_b}/f_{Λ_b}$=$0.054\pm0.020$. To reduce the above uncertainties, we suggest to measure the branching fractions of $Ξ_c^+\to p \overline K^{*0}$ and $Λ_c^+\to Σ^+ K^{*0}$ at BESIII, Belle(II) and LHCb.

13 pages, 1 table, 1 figure. Version published in EPJC