Results of analysis of Σ + p scattering events in J-PARC E40 experiment: differential cross sections and phase shifts of 3 S 1 and 1 P 1 states

We performed a novel Σ + p scattering experiment at the J-PARC Hadron Experimental Facility. Approximately 2400 Σ + p scattering events were identified by a kinematical consistency check for the recoil proton. The differential cross sections of the Σ + p elastic scattering were derived with better precision than in previous experiments. By exploiting high-quality differential cross section data and the simple representation of Σ + p interaction in the SU(3) flavor symmetry, we performed a phase-shift analysis on hyperon-nucleon scattering data for the first time. The absolute value of the phase shift of the 3 S 1 channel, where a large repulsive force was predicted due to the Pauli exclusive effect between quarks, was evaluated. These results indicate that the interaction of the 3 S 1 channel in the Σ + p channel is moderately repulsive, as the Nijmegen extended-soft-core models predicted.