  Recent studies have suggested a strong connection between the static
solutions of the 3D Skyrme model and those corresponding to its low-dimensional
analog (baby-Skyrme model) on a two-sphere. We have found almost identical
solutions considering an alternative two-dimensional model in which a vector
meson field is introduced and coupled to the system, instead of the usual
Skyrme term. It has been known that including this vector meson field in three
dimensions stabilizes the non-linear sigma model without the need of a term
quartic on derivatives of the pion fields (Skyrme term). In the present work,
we have numerically searched for static multi-solitonic solutions of this
alternative stabilization, for the case in which the base-space is a
two-sphere. Moreover, we analyze the stability of these solutions under small
perturbations in a fully dynamical setting. We have also considered the
inclusion of a particular potential term into the Lagrangian, and explored the
low/high-density phases of solitons for different ranges of the parameter
space, achieving solitons localized enough that allow us to compare with planar
(two-dimensional) studies.
