  In this paper, we investigate some electrically charged magnetic solutions of
the SU(2) Yang-Mills-Higgs field theory in the net zero topological charge
sector. We only examine the case when the Higgs field vanishes at two points
along the z-axis and when the Higgs field vanishes along a ring with the z-axis
as its symmetry axis. We study the possible electric charges the dyons can
carry in relation to the electric-magnetic charge separations and calculate for
the finite total energy and magnet dipole moment of these dyons. These
stationary dyon solutions do not satisfy the first order Bogomol'nyi equations
and are non BPS solutions. They are axially symmetric saddle point solutions
and are characterized by the electric charge parameter, $-1<\eta< 1$, which
determines the net electric charges of these dyons. These dyon solutions are
solved numerically when the magnetic charges are $n$ = 1, 2, 3, 4, and 5; and
when the strength of the Higgs field potential is non vanishing with
$\lambda=1$. When $\lambda=1$, we found that the net electric charge approaches
a finite critical value as $\eta$ approaches $\pm 1$. Hence the electromagnetic
charge separation, total energy, and magnet dipole moment of the dyon also
approach finite critical value.

High Energy Physics - Theory