Vector mesons in the collective approach to SU(3)

Abstract

We study the SU(3) extension of the Skyrme model with vector mesons in the collective quantization scheme. The parameters of the model are fixed in its mesonic sector. Fields which are excited by the collective rotation of the classical soliton are determined by a variational method. The resulting collective Hamiltonian which includes various symmetry breaking terms is diagonalized exactly. This yields reasonable predictions for the mass differences of the low-lying baryons. We furthermore investigate static properties of these baryons in this model by evaluating all relevant matrix elements using the exact eigenstates of the collective Hamiltonian. Electromagnetic observables are found to approximately obey the predictions obtained from SU(3) symmetry. Strong deviations from SU(3) symmetry are, however, found for the matrix elements of strange vector and scalar operators indicating a small amount of strangeness in the proton. The exploration of axial currents shows that the results of the EMC experiment may be explained with a small polarization of the strange sea of the proton without violating the successful Cabibbo model for semileptonic hyperon decays.