The production of baryons in the nuclear reaction p (3.5 GeV) + Nb (corresponding to GeV) is studied with the detector set-up HADES at GSI, Darmstadt. s were identified via the decay with subsequent decays $\Lambda \rightarrow p \pi^{-}e^{+}e^{-}$ pair from either external () or internal (Dalitz decay ) gamma conversions. The differential cross section integrated over the detector acceptance, i.e. the rapidity interval , has been extracted as $\Delta\sigma_{\Sigma^{0}} = 2.3 \pm (0.2)^{stat} \pm \left(^{+0.6}{-0.6}\right)^{sys} \pm (0.2)^{norm}$ mb, yielding the inclusive production cross section in full phase space $\sigma^{total}{\Sigma^{0}} = 5.8 \pm (0.5)^{stat} \pm \left(^{+1.4}{-1.4}\right)^{sys} \pm (0.6)^{norm} \pm (1.7)^{extrapol}\Lambda{all}\Sigma^{0}\pm$ . The obtained rapidity and momentum distributions are compared to transport model calculations. The yield agrees with the statistical model of particle production in nuclear reactions.

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