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Baby Skyrme models without a potential term

Ashcroft, Jennifer, Krusch, Steffen, Haberichter, Mareike (2015) Baby Skyrme models without a potential term. Physical Review D: Particles, Fields, Gravitation, and Cosmology, 91 (10). Article Number 105032. ISSN 0556-2821. E-ISSN 1550-2368. (doi:10.1103/PhysRevD.91.105032) (KAR id:47945)

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We develop a one-parameter family of static baby Skyrme models that do not require a potential term to admit topological solitons. This is a novel property as the standard baby Skyrme model must contain a potential term in order to have stable soliton solutions, though the Skyrme model does not require this. Our new models satisfy an energy bound that is linear in terms of the topological charge and can be saturated in an extreme limit. They also satisfy a virial theorem that is shared by the Skyrme model. We calculate the solitons of our new models numerically and observe that their form depends significantly on the choice of parameter. In one extreme, we find compactons while at the other there is a scale invariant model in which solitons can be obtained exactly as solutions to a Bogomolny equation. We provide an initial investigation into these solitons and compare them with the baby Skyrmions of other models.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevD.91.105032
Projects: Skyrmion-Skyrmion Scattering and Nuclear Physics, DTA - University of Kent, Investigations in Particle Physics Theory
Subjects: Q Science > Q Science (General)
Q Science > QC Physics
Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders: Science and Technology Facilities Council (
Engineering and Physical Sciences Research Council (
Depositing User: Mareike Haberichter
Date Deposited: 10 Apr 2015 19:10 UTC
Last Modified: 12 Jul 2022 10:41 UTC
Resource URI: (The current URI for this page, for reference purposes)

University of Kent Author Information

Ashcroft, Jennifer.

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Krusch, Steffen.

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Haberichter, Mareike.

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