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

Abstract

Nodal, excited compactons in the $\mathbb{C}{P}^N$ models with V-shaped potentials are analyzed. It is shown that the solutions exist as compact $Q$-balls and $Q$-shells. The solutions have a discontinuity in the second derivative associated with the character of the potential, however, their energy and charge densities are both continuous. The excited $Q$-balls and $Q$-shells are analyzed as electrically neutral and electrically charged objects.

arXiv comment22 pages, 12 figures

References in corpus (22)

• Supersymmetric Q-balls as dark matter
• Solitons in the supersymmetric extensions of the Standard Model
• Experimental signatures of supersymmetric dark-matter Q-balls
• Multi-state Boson Stars
• $\ell$-Boson stars
• Compact Q-balls and Q-shells in a scalar electrodynamics
• Compact Q-balls in the complex signum-Gordon model
• Excited Boson Stars
• Dynamical evolutions of $\ell$-boson stars in spherical symmetry
• Boson Shells Harbouring Charged Black Holes
• Angularly excited and interacting boson stars and Q-balls
• Radially excited $U\left(1\right)$ gauged $Q$-balls
• Boson Stars in a Theory of Complex Scalar Fields coupled to $U(1)$ Gauge Field and Gravity
• Charged Compact Boson Stars and Shells in the Presence of a Cosmological Constant
• Boson Stars in a Theory of Complex Scalar Field coupled to Gravity
• Compact Q-balls and Q-shells in the CPN type models
• The Ubiquity of Gauged Q-Shells
• Compact, charged boson-stars, -shells in the $\mathbb{C}{P}^N$ gravitating nonlinear sigma model
• Gravitating compact $Q$-ball and $Q$-shell solutions in the $\mathbb{C}{P}^N$ nonlinear sigma model
• Radially and azimuthally excited states of a soliton system of vortex and Q-ball
• Phase analyses for compact, charged boson stars and shells harboring black holes in the $\mathbb{C}{P}^N$ nonlinear sigma model
• Compact Q-balls and Q-shells in a multi-component $\mathbb{C}{P}^N$ model

Cited by in corpus (3)

• Non-topological solitons and quasi-solitons
• Excited oscillons: cascading levels and higher multipoles
• Understanding the Quantized Angular Momentum of Rotating Q-balls