Isospinning baby Skyrmion solutions

Abstract

We perform full two-dimensional (2D) numerical relaxations of isospinning soliton solutions in the baby Skyrme model in which the global $O(3)$ symmetry is broken by the 2D analogue of the pion mass term in the Skyrme model. In our calculations we explicitely allow the isospinning solitons to deform and to break the symmetries of the static configurations. We find that stable isospinning baby Skyrme solutions can be constructed numerically for all angular frequencies $\omega \le \text{min}(\mu ,1)$, where $\mu$ is the mass parameter of the model. Stable, rotationally-symmetric baby Skyrmion solutions for higher angular velocities are simply an artefact of the hedgehog approximation. Isospinning multisoliton solutions of topological charge $B$ turn out to be unstable to break up into their $B$ charge-1 constituents at some critical breakup frequency value. Furthermore, we find that for $\mu$ sufficiently large the rotational symmetry of charge-2 baby Skyrmions becomes broken at a critical angular frequency $\omega$.

24 pages, 15 figures, Published version

References in corpus (10)

• Light Nuclei of Even Mass Number in the Skyrme Model
• Investigation of restricted baby Skyrme models
• Light Nuclei as Quantized Skyrmions
• Rotational symmetry breaking in baby Skyrme models
• Massive Hopfions
• Classically Isospinning Hopf Solitons
• Isospinning hopfions
• Isorotating Baby Skyrmions
• The quantization of the B=1 and B=2 Skyrmions
• Spontaneous Breaking of Rotational Symmetry in Rotating Solitons - a Toy Model of Excited Nucleons with High Angular Momentum

Cited by in corpus (18)

• Topological dynamical quantum phase transition in a quantum skyrmion phase
• Classically isospinning Skyrmion solutions
• Gauged Baby Skyrme Model with Chern-Simons term
• Isorotating Baby Skyrmions
• Skyrmion Echo in a system of interacting Skyrmions
• Oscillons in a perturbed signum-Gordon model
• Skyrmion lattice hosted in synthetic antiferromagnets and helix modes
• Baby Skyrme models without a potential term
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Gauged Hopfions
• Simulating the symmetron: domain walls and symmetry-restoring impurities
• Spinning gravitating Skyrmions in generalized Einstein-Skyrme model
• Solitons in the Gauged Skyrme-Maxwell Model
• Hopfions interaction from the viewpoint of the product ansatz
• Spontaneous symmetry breaking in dual-core baby-Skyrmion systems
• False vacuum Skyrmions revisited
• On Bogomolny equations in generalized gauged baby BPS Skyrme models
• Isospinning Skyrmions