Vortices with Ferromagnetic Superfluid Core inHe3-B

It is shown that there may exist five axisymmetric vortices in ${}_{}{}^3{}_{}{}^{}\mathrm{He}$-$B$, different in their internal symmetries. The Landau theory for phase transitions between them is constructed. Numerical calculations show that one of the observed vortices possesses a novel new structure: a superfluid core, which is ferromagnetic. This explains the measured large magnetic moment of the vortex.