  We study a twisted vortex bundle where quantized vortices form helices
circling around the axis of the bundle in a "force-free" configuration. Such a
state is created by injecting vortices into rotating vortex-free superfluid.
Using continuum theory we determine the structure and the relaxation of the
twisted state. This is confirmed by numerical calculations. We also present
experimental evidence of the twisted vortex state in superfluid 3He-B.
