Spinning particle-like solitons in superfluid3He-B

Particle-like topological solitons in superfluid³He-B are studied. The existing treatment of such objects indicates that static solitons have a free energy proportional to their size. They are thus unstable and will shrink to zero size. In the present work we consider spinning solitons whose size originates from an angular momentum barrier. In order for the solitons to be meaningfully described by theB phase their free energy must be small compared with their condensation energy. This requires that the angular momentum be large and effectively they are in the classical continuum limit. A detailed consideration of the variational procedure required to determine the soliton profile is presented allowing estimates of their size and energy.Address as from October 1991: Physics Institute, Faculty of Liberal Arts, Shizuoka University, Shizuoka 422, Japan