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.

arXiv comment27 pages, 13 figures v2: typos corrected, references updated; expanded discussions on V-shaped potentials and also comment on analytical solutions

References in corpus (27)

• Supersymmetric Q-balls as dark matter
• Oscillons: Resonant Configurations During Bubble Collapse
• Solitons in the supersymmetric extensions of the Standard Model
• Pseudo-Stable Bubbles
• Experimental signatures of supersymmetric dark-matter Q-balls
• Small amplitude quasi-breathers and oscillons
• Compact Q-balls and Q-shells in a scalar electrodynamics
• Generation of Coherent Structures After Cosmic Inflation
• Charged Boson Stars and Black Holes
• Compact Q-balls in the complex signum-Gordon model
• Vorton Existence and Stability
• Some remarks about non-minimally coupled scalar field models
• On the Behaviour and Stability of Superconducting Currents
• Boson Shells Harbouring Charged Black Holes
• Oscillons and oscillating kinks in the Abelian-Higgs model
• Field-theoretic Models with V-shaped Potentials
• Compact Q-balls and Q-shells in the CPN type models
• Oscillons in dilaton-scalar theories
• BPS submodels of the Skyrme model
• Oscillons in a perturbed signum-Gordon model
• A Variety of Nontopological Solitons in a Spontaneously Broken U(1) Gauge Theory -- Dust Balls, Shell Balls, and Potential Balls
• The BPS sectors of the Skyrme model and their non-BPS extensions
• Gravitating compact $Q$-ball and $Q$-shell solutions in the $\mathbb{C}{P}^N$ nonlinear sigma model
• Compact, charged boson-stars, -shells in the $\mathbb{C}{P}^N$ gravitating nonlinear sigma model
• Topological Compactons
• Phase analyses for compact, charged boson stars and shells harboring black holes in the $\mathbb{C}{P}^N$ nonlinear sigma model
• Creating Oscillons and Oscillating Kinks in Two Scalar Field Theories

Cited by in corpus (2)

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