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arXiv · 2107.09831

Compact Q-balls and Q-shells in a multi-component $\mathbb{C}P^N$ model

P. Klimas·L. C. Kubaski·N. Sawado·S. Yanai
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Abstract

Coupled multi-component $\mathbb{C}P^N$ models with V-shaped potentials are analyzed. It is shown that the model has solutions being combinations of compact Q-balls and Q-shells. The compact nature of solutions permits the existence of novel harbor-type solutions having the form of Q-balls sheltered by Q-shells. The relation between the energy $E$ and Noether charge $Q$ is discussed both analytically and numerically. The energy of the solutions behaves as $E\sim |Q|^α,~α<1$, i.e., as for the standard Q-ball. Furthermore, the ratio $E/Q$ for various configurations in the multi-component model suggests that the solutions are at least classically stable.

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P. Klimas, L. C. Kubaski, N. Sawado, S. Yanai. 2021-08-23. Compact Q-balls and Q-shells in a multi-component $\mathbb{C}P^N$ model. https://doi.org/10.1007/jhep09(2021)084

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