  We study a Maxwell-$CP(2)$ model coupled to a real scalar field through a
dielectric function multiplying the Maxwell term. In such a context, we look
for first-order rotationally symmetric solitons by means of the Bogomol'nyi
algorithm, i.e. by minimizing the total energy of the effective model. We
perform our investigation by choosing an explicit form of the dielectric
function. The numerical solutions show regular vortices whose shapes
dramatically differ from their canonical counterparts. We can understood such
differences as characterizing the existence of an internal structure.

High Energy Physics - Theory;Pattern Formation and Solitons