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The $p_{\rm T}$-differential cross sections of prompt charm-strange baryons$\Xi^0_{\rm c}$ and $\Xi^+_{\rm c}$ were measured at midrapidity ($|y| < 0.5$)in proton$-$proton (pp) collisions at a centre-of-mass energy $\sqrt{s}=13$ TeVwith the ALICE detector at the LHC. The $\Xi^0_{\rm c}$ baryon wasreconstructed via both the semileptonic decay ($\Xi^{-}{\rm e^{+}}\nu_{\rm e}$)and the hadronic decay ($\Xi^{-}{\rm \pi^{+}}$) channels. The $\Xi^+_{\rm c}$baryon was reconstructed via the hadronic decay ($\Xi^{-}\pi^{+}\pi^{+}$)channel. The branching-fraction ratio $\rm {\rm BR}(\Xi_c^0\rightarrow\Xi^-e^+\nu_e)/\rm {\rm BR}(\Xi_c^0\rightarrow \Xi^{-}\pi^+)=$ 1.38 $\pm$ 0.14(stat) $\pm$ 0.22 (syst) was measured with a total uncertainty reduced by afactor of about 3 with respect to the current world average reported by theParticle Data Group. The transverse momentum ($p_{\rm T}$) dependence of the$\Xi^0_{\rm c}$- and $\Xi^+_{\rm c}$-baryon production relative to the ${\rmD^0}$-meson and to the $\Sigma^{0,+,++}_{\rm c}$- and $\Lambda^+_{\rmc}$-baryon production are reported. The baryon-to-meson ratio increases towardslow $p_{\rm T}$ up to a value of approximately 0.3. The measurements arecompared with various models that take different hadronisation mechanisms intoconsideration. The results provide stringent constraints to these theoreticalcalculations and additional evidence that different processes are involved incharm hadronisation in electron$-$positron ($\rm e^+e^-$) and hadroniccollisions.

physical review letters

Measurement of the cross sections of $\Xi^0_{\rm c}$ and $\Xi^+_{\rm c}$  baryons and branching-fraction ratio BR($\Xi^0_{\rm c} \rightarrow \Xi^-{\rm  e}^+\nu_{\rm e}$)/BR($\Xi^0_{\rm c} \rightarrow \Xi^-\pi^+$) in pp collisions  at 13 TeV