Chiral baryon with quantized pions
The authors consider a hybrid chiral baryon model starting from the Gell-Mann-Levy linear sigma model with the sigma and pion fields coupled to quarks. Instead of employing the standard hedgehog ansatz, the authors solve the model using a Fock-space configuration consisting of a component with three quarks plus a component with three quarks and an explicit pion. In each component, the quarks (and pion) are directly coupled to the spin and isospin appropriate to a nucleon and the coupling is preserved throughout the calculation. The authors minimizes the groundstate expectation value of the Gell-Mann-Levy Hamiltonian to obtain the equations of motion which are solved self-consistently. They calculatess the canonical set of nucleon observables and compare them with previous work.