  An omega-meson extension of the Skyrme model - without the Skyrme term but
including the pion mass - first considered by Adkins and Nappi is studied in
detail for baryon numbers 1 to 8. The static problem is reformulated as a
constrained energy minimisation problem within a natural geometric framework
and studied analytically on compact domains, and numerically on Euclidean
space. Using a constrained second-order Newton flow algorithm, classical energy
minimisers are constructed for various values of the omega-pion coupling. At
high coupling, these Skyrmion solutions are qualitatively similar to the
Skyrmions of the standard Skyrme model with massless pions. At sufficiently low
coupling, they show similarities with those in the lightly bound Skyrme model:
the Skyrmions of low baryon number dissociate into lightly bound clusters of
distinct 1-Skyrmions, and the classical binding energies for baryon numbers 2
through 8 have realistic values.
