  The dynamics of quantum vortex pairs carrying heavy doping matter trapped
inside their cores is studied. The nonlinear classical matter field formalism
is used to build a universal mathematical model of a heavy vortex applicable to
different types of quantum mixtures. It is shown how the usual vortex dynamics
typical for undoped pairs qualitatively changes when heavy dopants are used:
heavy vortices with opposite topological charges (chiralities) attract each
other, while vortices with the same charge are repelled. The force responsible
for such behavior appears as a result of superposition of vortices velocity
fields in the presence of doping substance and can be considered as a special
realization of the Magnus effect. The force is evaluated quantitatively and its
inverse proportionality to the distance is demonstrated. The mechanism
described in this paper gives an example of how a light nonlinear classical
field may realize repulsive and attractive interactions between embedded heavy
impurities.
