Stability of a half-quantum vortex in rotating superfluid 3He-A between parallel plates

We have found the precise stability region of the half quantum vortex (HQV) for superfluid He-3-A phase confined in parallel plates with a narrow gap under rotation. Standard Ginzburg-Landau free energy, which is well established, is solved to locate the stability region spanned by temperature T and rotation speed (Omega). This Omega-T stability region is wide enough to check it experimentally in available experimental setup. The detailed order-parameter structure of HQV characterized by A(1) core is given to facilitate the physical reasons of its stability over other vortices or textures.