Q-balls and charged Q-balls in a two-scalar field theory with generalized Henon-Heiles potential

Abstract

We construct Q-ball solutions from a model consisting of one massive scalar field ξ and one massive complex scalar field ϕ interacting via the cubic couplings g1ξϕ ϕ þ g2ξ3, typical of Henon-Heiles-like potentials. Although being formally simple, these couplings allow for Q-balls. In one spatial dimension, analytical solutions exist, either with vanishing or nonvanishing ϕ. In three spatial dimensions, we numerically build Q-ball solutions and investigate their behaviors when changing the relatives values of g1 and g2. For g1 < g2, two Q-balls with the same frequency exist, while ω ¼ 0 can be reached when g1 > g2. We then extend the former solutions by gauging the U(1) symmetry of ϕ and show that charged Q-balls exist.