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We study the motion of superfluid vortices with filled massive cores.Previous point-vortex models already pointed out the impact of the core mass onthe vortex dynamical properties, but relied on an assumption that isquestionable in many physical systems where the immiscibility condition isbarely satisfied: the fact that the massive core always lays at the very bottomof the effective confining potential constituted by the hosting vortex. Here,we relax this assumption and present a new point-vortex model where quantumvortices are harmonically coupled to their massive cores. We thoroughly explorethe new dynamical regimes offered by this improved model; we then show that thefunctional dependence of the system normal modes on the microscopic parameterscan be correctly interpreted only within this new generalized framework. Ourpredictions are benchmarked against the numerical simulations of coupledGross-Pitaevskii equations for a realistic mixture of atomic Bose-Einsteincondensates.

Relative dynamics of quantum vortices and massive cores in binary BECs