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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). p. 105032. ISSN 0556-2821. E-ISSN 1550-2368. (doi:10.1103/PhysRevD.91.105032) (KAR id:47945)

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http://arxiv.org/abs/1504.02459

Abstract

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: [159] Skyrmion-Skyrmion Scattering and Nuclear Physics Official URL
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Subjects: Q Science > Q Science (General)
Q Science > QC Physics
Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Mareike Haberichter
Date Deposited: 10 Apr 2015 19:10 UTC
Last Modified: 06 May 2020 03:12 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/47945 (The current URI for this page, for reference purposes)
Ashcroft, Jennifer: https://orcid.org/0000-0002-5124-692X
Krusch, Steffen: https://orcid.org/0000-0003-3126-8635
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