  Quantum vortices in superfluids may capture matter and deposit it inside
their core. By doping vortices with foreign particles one can effectively
visualize them and study experimentally. To acquire a better understanding of
the interaction of quantum vortices with matter and clarify the details of
recent experiments properties of doped vortices are investigated here
theoretically in the regimes where the doping mass becomes close to the total
mass of superfluid particles forming a vortex. Such formations are dynamically
stable and, possessing both vorticity and enhanced inertia, demonstrate
properties which are different from the pure vortex case. The goal of this
paper is to define and investigate the universal aspects of a heavily doped
vortex behavior which can be realized in different types of quantum mixtures.
The proposed 3D model is based on a system of coupled semiclassical matter wave
equations which are solved numerically in a wide range of physical parameters.
The size, geometry, solubility and binding energy of dopants in different
regimes are discussed. A coupled motion of a vortex-dopant complex and
decoupling conditions are studied. The reconnection of vortices, taken as an
example of a fundamental process responsible for the evolution of a quantum
turbulent state, is modeled to illustrate the difference between the light and
heavy doping cases.
