Satellite magnetic resonances of a bound pair of half-quantum vortices in rotating superfluid 3He-A.

Abstract

The transverse magnetic resonance satellite frequency and intensity associated with a bound pair of half quantum vortices in a thin slab of $^{3}\mathit{A}$, rotating about the slab normal and subject to a magnetic field applied at an angle \ensuremath{\theta} with the slab normal, is recalculated in a variational approach. This approach takes properly into account the azimuthal symmetry of the spin wave function and therefore corrects a previous prediction by Salomaa and Volovik. The corresponding quantities for the longitudinal resonance are also calculated. In addition, a general criterion is given for determining the physical transverse-resonance wave function in a large magnetic field in the presence of any distribution of spin disgyrations of any kinds, whether with integer or fractional Frank indices.