In static equilibrium situations, the quantized vorticity in a sample of superfluid 3He-B in a cylindrical container rotating around its symmetry axis is distributed in the form of rectilinear lines. Because of the high critical velocity of vortex creation, rotating states with any number of vortices ranging from zero up to the equilibrium number (corresponding to minimum free energy in the rotating system) can be realized. The different vortex states can be identified through the orienting effect of the vortices on the B-phase order parameter, and the resulting frequency shift of continuous-wave transverse nuclear magnetic resonance (NMR). Recently, however, considerable activity has been devoted to vortex studies concerning dynamic situations where the vortex distributions do not consist only of rectilinear lines. Such investigations include those of vortex multiplication, superfluid turbulence, and the propagation of vortices in a long container. In this work, NMR response from different vortex states in 3He-B is discussed in the framework of hydrostatic theory. In particular, we show how this description can be employed to identify the recently discovered state of helically twisted vortices.
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