ROTATING VORTEX CORE - AN INSTRUMENT FOR DETECTING CORE EXCITATIONS

Effects of fermion zero modes (bound states in a vortex core) on the r otational dynamics of vortices with spontaneously broken axisymmetry a re considered. The results are compared with the Helsinki NMR experime nts where the vortex cores were driven to a fast rotation and torsiona l oscillations by an NMR rf field. We predict a resonance NMR absorpti on on localized states at the external frequency comparable with the i nterlevel distance which is similar to the cyclotron Landau damping. T he resonances can resolve the localized levels in vortex cores. For a pure rotation of the core, the effect depends on the relative signs of the vortex winding and of the core rotation; thus it is sensitive to the direction of rotation of the container. The similarity with fermio n zero modes on fundamental strings, which simulate the thermodynamics of black holes, is discussed.