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

We performed a novel $\Sigma p$ scattering experiment at the J-PARC hadron experimental facility. Approximately 2400 $\Sigma^+ p$ elastic scattering events were identified by requesting the kinematical consistency of the elastic scattering from $4.9 \times 10^7$ tagged $\Sigma^+$ beam particles in the $\Sigma^+$ momentum range of 0.44 - 0.80 GeV/$c$. The differential cross sections of the $\Sigma^+ p$ elastic scattering were derived with much better precision compared to past experiments. The obtained values of differential cross sections are around 2 mb/sr, which are not so large as most theoretical predictions. Moreover, the phase shifts of $^3 S_1$ and $^1 P_1$ channels were experimentally derived for the first time. The phase shift of the $^3 S_1$ channel wherein a large repulsive core was predicted owing to the Pauli effect in the quark level was evaluated to be $20^\circ<|\delta_{^3S_1}|<35^\circ$. If the sign is assumed to be negative, the strength of the interaction in this channel was found to be moderately repulsive.