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An exclusive analysis of the 4-body final states $\mathrm{\Lambda + p +\pi^{+} + K^{0}}$ and $\mathrm{\Sigma^{0} + p + \pi^{+} + K^{0}}$ measured withHADES for p+p collisions at a beam kinetic energy of 3.5 GeV is presented. Theanalysis uses various phase space variables, such as missing mass and invariantmass distributions, in the four particle event selection (p, $\pi^+$, $\pi^+$,$\pi^-$) to find cross sections of the different production channels,contributions of the intermediate resonances $\mathrm{\Delta^{++}}$ and$\mathrm{\Sigma(1385)^{+}}$ and corresponding angular distributions. A dominantresonant production is seen, where the reaction $\mathrm{\Lambda + \Delta^{++}+ K^{0}}$ has an about ten times higher cross section($\mathrm{29.45\pm0.08^{+1.67}_{-1.46}\pm2.06\,\mu b}$) than the analogousnon-resonant reaction ($\mathrm{2.57\pm0.02^{+0.21}_{-1.98}\pm0.18\,\mu b}$). Asimilar result is obtained in the corresponding $\Sigma^{0}$ channels with$\mathrm{9.26\pm0.05^{+1.41}_{-0.31}\pm0.65\,\ mu b}$ in the resonant and$\mathrm{1.35\pm0.02^{+0.10}_{-1.35}\pm0.09\,\mu b}$ in the non-resonantreactions.

Associate K^0 production in p+p collisions at 3.5 GeV: The role of Delta(1232)++