  Quantum states of a skyrmion in a 2D antiferromagnetic lattice are obtained
by quantizing the scaling parameter of Belavin-Polyakov model. Skyrmion
classical collapse due to violation of the translational invariance of the
continuous spin-field model by the lattice is replaced in quantum mechanics by
transitions between discrete energy levels of the skyrmion. Rates of
transitions due to the emission of magnons are computed. Ways of detecting
quantization of skyrmion states are discussed.
