Baryon spectroscopy in a hybrid model with quantized pions

The authors extend their earlier calculations of baryon properties in a hybrid quark model based on the Gell-Mann-Levy linear sigma model. They have avoided the projection problems associated with the standard hedgehog ansatz by solving the model using a Fock-space configuration which explicitly incorporates the correct isospin and angular momentum couplings in every component. This Fock-space configuration has components involving three quarks and various numbers of quantal pions. They minimize the ground-state expectation value of their Hamiltonian to obtain the equations of motion which they solve self-consistently. They calculate the canonical set of nucleon observables and compare with previous work