Measurement of ${\mathrm{\Xi }}^{-}\mathrm{/}{\bar{\mathrm{\Xi }}}^{+}$ production in jets from $Z$ boson decays with the DELPHI open data

The ${\mathrm{\Xi }}^{-}\mathrm{/}{\bar{\mathrm{\Xi }}}^{+}$ baryon production in jets provides a probe of double-strangeness creation and baryon formation in the non-perturbative quantum chromodynamics (QCD) process. This study measures the ${\mathrm{\Xi }}^{-}\mathrm{/}{\bar{\mathrm{\Xi }}}^{+}$ production rates and momentum spectra in energy-ranked jets using 3.2 million $Z\to \text{hadrons}$ events from the DELPHI open data collected from 1992 to 1995. Jets are reconstructed with the Durham algorithm with $y_{\text{cut}}=0.005$, and quark- and gluon-enriched jet samples are obtained from the energy ordering of jets in three-jet events. The average ${\mathrm{\Xi }}^{-}\mathrm{/}{\bar{\mathrm{\Xi }}}^{+}$ production in energy-ranked jets are measured. The ratio of ${\mathrm{\Xi }}^{-}\mathrm{/}{\bar{\mathrm{\Xi }}}^{+}$ production rates in gluon and quark jets relative to the mean charged-particle multiplicity is derived from the measurements. We obtain $R^{{\mathrm{\Xi }}^{-}}g\mathrm{/}q=1.21\pm 0.18(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}\mathrm{.})\pm 0.26(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}\mathrm{.})$, consistent with the JETSET expectation and the OPAL results for $R_{g\mathrm{/}q}^{K_S^0}$ and $R_{g\mathrm{/}q}^{\mathrm{\Lambda }}$ within uncertainties. This study is the first measurement of ${\mathrm{\Xi }}^{-}\mathrm{/}{\bar{\mathrm{\Xi }}}^{+}$ production in energy-ranked jets in $Z$ boson decays.