THE PROJECTED CHIRAL SOLITON MODEL WITH VECTOR-MESONS

We investigate the solitonic sector of the massive Yang-Mills Lagrangi an including sigma-, pi-, omega-, rho-, A-mesons as well as valence qu arks and apply it to the calculation of some baryonic properties. We p erform the canonical quantization which requires the explicit eliminat ion of the time-like components of the vector fields. A mean-field Foc k state with hedgehog symmetry is defined as a product of a Slater det erminant for the quarks in a 1s-state and coherent states for the meso ns. We project this mean-field Fock state onto good spin and isospin b y means of Peierls-Yoccoz operators and obtain, after fitting the nucl eon mass, a N Delta splitting which is about 80% of the experimental v alue. A good description of electromagnetic and axial static propertie s as well as form factors of the nucleon is achieved. Furthermore, the spin content of the nucleon is analyzed in terms of the flavor single t axial vector coupling constant giving g(A)(0) similar to 0.44 indepe ndently of the input parameters. Finally, the proton-neutron hadronic mass spitting is estimated in the model giving M(n) - M(p) = 2.38 +/- 0.55 MeV, the errors reflecting the uncertainty in the up and down qua rk masses.