On the stability of nontopological solitons in supersymmetric extensions of the Standard Model: A Numerical Approach

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.