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We performed a novel $\Sigma^+ p$ scattering experiment at the J-PARC HadronExperimental Facility. Approximately 2400 $\Sigma^+ p$ elastic scatteringevents were identified from $4.9 \times 10^7$ tagged $\Sigma^+$ particles inthe $\Sigma^+$ momentum range 0.44 -- 0.80 GeV/$c$. The differential crosssections of the $\Sigma^+ p$ elastic scattering were derived with much betterprecision than in previous experiments. The obtained differential crosssections were approximately 2 mb/sr or less, which were not as large as thosepredicted by the fss2 and FSS models based on the quark cluster model in theshort-range region. By performing phase-shift analyses for the obtaineddifferential cross sections, we experimentally derived the phase shifts of the$^3 S_1$ and $^1 P_1$ channels for the first time. The phase shift of the $^3S_1$ channel, where a large repulsive core was predicted owing to the Paulieffect between quarks, was evaluated as $20^\circ<|\delta_{^3S_1}|<35^\circ$.If the sign of $\delta_{^3S_1}$ is assumed to be negative, the interaction inthis channel is moderately repulsive, as the Nijmegen extended-sort-core modelspredicted.

Measurement of differential cross sections for $\Sigma^+p$ elastic scattering in the momentum range 0.44-0.80 GeV/c