  We study excitations of the predicted antiferromagnetically ordered vortex
cores in the superconducting phase of the newly proposed SO(5) model of
strongly correlated electrons. Using experimental data from the literature we
show that the susceptibilities in the spin sector and the charge sector are
nearly equal, and likewise for the stiffnesses. In the case of strict equality
SO(5) symmetry is possible, and we find that if present the vortices give rise
to an enhanced neutron scattering cross section near the so called pi resonance
at 41 meV. In the case of broken SO(5) symmetry two effects are predicted.
Bound excitations can exist in the vortex cores with ``high'' excitation
energies slightly below 41 meV, and the massless Goldstone modes corresponding
to the antiferromagnetic ordering of the core can acquire a mass and show up as
core excitation with ``low'' excitation energies around 2 meV.
