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The production of $\Sigma^0$ hyperons in proton proton collisions at a beamkinetic energy of 3.5 GeV impinging on a liquid hydrogen target wasinvestigated using data collected with the HADES setup. The total productioncross section is found to be $\mathrm{\sigma (pK^{+}\Sigma^{0}) [\mu b] = 17.7\pm 1.7 (stat) \pm 1.6 (syst)}$. Differential cross section distributions ofthe exclusive channel $\mathrm{pp \rightarrow pK^{+}\Sigma^{0}}$ were analyzedin the center-of-mass, Gottfried-Jackson and helicity reference frames for thefirst time at the excess energy of 556 MeV. The data support the interplaybetween pion and kaon exchange mechanisms and clearly demonstrate thecontribution of interfering nucleon resonances decaying to$\mathrm{K^{+}\Sigma^{0}}$. The Bonn-Gatchina partial wave analysis wasemployed to analyse the data. Due to the limited statistics, it was notpossible to obtain an unambiguous determination of the relative contribution ofintermediate nucleon resonances to the final state. However nucleon resonanceswith masses around 1.710 $\mathrm{GeV/c^{2}}$ ($\mathrm{N^{*}(1710)}$) and1.900 $\mathrm{GeV/c^{2}}$ ($\mathrm{N^{*}(1900)}$ or$\mathrm{\Delta^{*}(1900)}$) are preferred by the fit.

Investigation of the $\mathbf{\Sigma^{0}}$ Production Mechanism in p(3.5 GeV)+p Collisions