Normal Modes of theB=4Skyrme Soliton

The Skyrme model of nuclear physics requires quantization if it is to match observed nuclear properties. A simple technique is used to find the normal mode spectrum of the baryon number $B=4\mathrm{}$ Skyrme soliton. We find 16 vibrational modes and classify them under the cubic symmetry group ${\mathrm{O}}_h$ of the static solution. The spectrum possesses a remarkable structure, with the lowest energy modes lying in those representations expected from an approximate correspondence between Skyrmions and Bogomolny-Prasad-Sommerfeld monopoles. The next mode up is the “breather”, and above that are higher multipole breathing modes.