Solitonic boson stars: Numerical solutions beyond the thin-wall approximation

In this paper we present several set of solutions static and spherically symmetric solitonic boson stars. Each is characterized by the value {\sigma} that defines potential in complex scalar field theory. The main features peculiar to occur for small values {\sigma}, but which equations become so stiff as pose numerical challenges. Without making approximations build sets decreasing show how they change their behavior parameter space, giving special attention region where thin-wall configurations dwell. validity approximation explored well possibility solution being discontinuous. We investigate five different possible definitions a radius stars employ them calculate compactness each order assess outcomes might be.