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

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 $E\sim |Q{|}^{\alpha },\alpha <1$, 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.

27 pages, 13 figures v2: typos corrected, references updated; expanded discussions on V-shaped potentials and also comment on analytical solutions

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Cited by in corpus (1)

• Nodal compact $Q$-ball/$Q$-shell in the $\mathbb{C}{P}^N$ nonlinear sigma model