General numerical solutions of the Friedberg-Lee soliton model for ground and excited states

Abstract

A new numerical method is applied to solving the equations of motion of the Friedberg-Lee soliton model for both ground and spherically symmetric excited states. General results have been obtained over a wide range of parameters. Critical coupling constants and particle numbers have been determined below which soliton solutions cease to exist. The static properties of the proton are considered to show that as currently formulated the model fails to fit all experimental data for any set of parameters.