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In a p-wave Fermi superfluid suffering from the nonmagnetic impurityscatterings, a coefficient of a gradient term becomes divergent upon cooling.Consequences of this divergent rigidity in the stable vortices in the B phasein globally isotropic aerogel are considered where the "impurity scattering"events are brought by the aerogel structure. For a moderately strong "impurityscatterings", the superfluid transition line T_c(P) has a quantum criticalpoint at a low but finite pressure. We find that, with decreasing T_c via thelowering of the pressure, the distance between the half cores composing thecore of the nonaxisymmetric double-core vortex which is stable at lowerpressures grows as a result of the rigidity diverging at lowering temperature.The obtained result is compared with the elongation of the half core pairarising from the Fermi-liquid correction.

Double-Core Vortex Stabilized by Disorder in Superfluid $^3$He B Phase in Globally Isotropic Aerogel