Spin-5/2 resonance effects in a coupled channel nucleon resonance analysis

Abstract

Spin-$\ffh$ resonance contributions in pion-nucleon scattering are investigated within the coupled channel $K$-matrix approach for c.m. energies up to $\sqrt s=$ 2 GeV. All previously studied $\pi N$, $2\pi N$, $\eta N$, $K \Lambda$, $K \Sigma$, and $\omega N$ final states are included. We find a significant improvement of $\chi^2$ in almost all channels by inclusion of the spin-$\ffh$ states. The obtained coupling parameters are discussed.