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arXiv · 2402.15396

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

Y. Brihaye·F. Buisseret
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Abstract

We construct Q-ball solutions from a model consisting of one massive scalar field $\xi$ and one massive complex scalar field $\phi$ interacting via the cubic couplings $g_1 \xi \phi^{*} \phi + g_2 \xi^3$, 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 non vanishing $\phi$. In three spatial dimensions, we numerically build Q-ball solutions and investigate their behaviours when changing the relatives values of $g_1$ and $g_2$. For $g_1 g_2$. We then extend the former solutions by gauging the U(1)-symmetry of $\phi$ and show that charged Q-balls exist.

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Y. Brihaye, F. Buisseret. 2024-02-23. Q-balls and charged Q-balls in a two-scalar field theory with generalized Henon-Heiles potential. https://doi.org/10.1103/physrevd.109.076029

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