Several Lagrangians describing the SU(2) Yang-Mills (YM) field interacting
with matter are considered, which support both instantons tin four Euclidea
n dimensions) and sphaleron (in three dimensions, static) solutions. The ma
tter fields are the complex Higgs doublet for the Weinberg-Salam (WS) model
, and a (2 x 4) Grassmannian model. These Lagrangians feature Skyrme-like e
xtensions to enable the existence of the instantons, which decay as pure ga
uge at infinity. For two of these models, we have numerically integrated th
e one-dimensional system arising from the imposition of radial ansatz.