  The energy levels of a skyrmion in nucleus are calculated in a field theory
of skyrmions coupled to the dilaton field and the $\omega$ meson . The central
potential fits well with expectations. The nucleon spin-orbit interaction
derived from the omega meson in a rotating frame gives the correct level
splittings. The same interaction originating from the Thomas precession effect
is negligible. Energy levels are calculated for closed shell nuclei. The meson
fields are obtained from a Thomas-Fermi mean field approximation to the
nucleus.
