We extend the collective treatment of the SU(3) Skyrme model by including the scaling degree of freedom (size of the pion cloud) as a dynamical variable. The resulting Hamiltonian is diagonalized by a truncation procedure, providing a fascinating spectroscopy and a solution to the puzzle of having two candidates for the Roper $N\left(1440\right)\mathrm{}$ resonance. We discuss the mass spectrum of the low-lying ${\mathrm{½}}^{+}$ and ${\frac{3}{2}}^{+}$ baryons as well as their excitations. The model is further checked by calculating some standard baryon properties.

• Received 27 March 1991

DOI:https://doi.org/10.1103/PhysRevD.44.2916