ROTATING SKYRMION IN 2+1-DIMENSIONS

The collective rotation of the Skyrmion in two-dimensional space is co nsidered. In contradistinction to the three-dimensional case, inertial effects do not spoil the hedgehog form and can, therefore, be investi gated consistently without great computational difficulty. The energy, the moment of inertia, and the mean radius of the rotating soliton ar e calculated for a wide range of model parameters. It is found that th e ''frozen hedgehog'' treatment-commonly assumed adequate in the Skyrm e model on the basis of large N-C (number of colors) arguments-is inva lid in a sizable portion of parameter space. The phase shifts associat ed with radial fluctuations of the rotating soliton are also investiga ted and are found to be significantly affected by the rotation.