Non-Strange Baryon Resonances in the Isgur-Karl Model Including the N=3 Oscillator Shell
Abstract The nonrelativistic constituent quark model for excited baryon states in the version proposed by Isgur and Karl is extended toward higher energies by including all states containing up to three oscillator excitation quanta. At high energies baryon resonances with spins up to 9/2 become accessible. At all energies and in particular for lower spins strong configuration mixing is obtained. Model predictions are compared to the empirical resonance energies derived in the Karlsruhe-Helsinki pion nucleon phase shift analysis. A search is made for parameter sets that apply simultaneously to the positive parity and the negative parity states. Numerical results are presented and discussed in relation to experimental data and to other theoretical works.