Abstract
The significance of the order parameter is reviewed for the familiar case of vortices in the rotating Bose superfluid 4He. The triplet p-wave Cooper pairing in the Fermi superfluid 3He introduces new and unusual possibilities. In the rotating B phase, all vortices have singular cores, and several different structures have been investigated. In the rotating A phase, an additional feature is a nonsingular vortex with two quanta of circulation.
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