  In various supersymmetric extensions of the Standard Model there appear
non-topological solitons due to the existence of U(1) global symmetries
associated with Baryon and/or Lepton quantum numbers. Trilinear couplings
(A-terms) in the scalar potential break explicitly the U(1) invariance. We
investigate numerically the stability of these objects in the case that this
breaking is small. We find that stable configurations, oscillating though, can
still appear. Other relevant properties are also examined.
