Spherically Symmetric Non-Topological Solitons and Boson Stars in Friedberg-Lee-Sirlin Model

We study spherically symmetric non-topological solitons and boson stars in Friedberg-Lee-Sirlin model in 3+1 dimensional spacetime. The non-topological soliton field configuration consists of a massless complex scalar field coupled to a real scalar field with symmetry breaking potential. The complex scalar field becomes massive when the real scalar field goes to one of the degenerate vacuums. Their existence is supported by the conserved charge and the mass-energy only on certain frequency range. When gravity is taken into account, they form configuration called boson stars. The gravitational interaction influences the quantity of the conserved charge and the mass-energy of the system. We present the dependence of symmetry breaking energy scale on the solution of boson stars.