Krusch, Steffen, Foster, David J (2013) Negative Baryon density and the Folding structure of the B=3 Skyrmion. Journal of Physics A: Mathematical and Theoretical, 46 (26). pp. 265401265419. ISSN 17518113. (doi:10.1088/17518113/46/26/265401) (KAR id:34381)
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Official URL http://dx.doi.org/10.1088/17518113/46/26/265401 
Abstract
The Skyrme model is a nonlinear field theory whose solitonic solutions, once quantised, describe atomic nuclei. The classical static soliton solutions, socalled Skyrmions, have interesting symmetries and can only be calculated numerically. Mathematically, these Skyrmions can be viewed as maps between two threemanifolds and, as such, their stable singularities can only be folds, cusps and swallowtails. Physically, the occurrence of singularities is related to negative baryon density. In this paper, we calculate the charge three Skyrmion to a high resolution in order to examine its singularity structure in detail. Thereby, we explore regions of negative baryon density. We also discuss how the negative baryon density depends on the pion mass.
Item Type:  Article 

DOI/Identification number:  10.1088/17518113/46/26/265401 
Projects:  [159] SkyrmionSkyrmion Scattering and Nuclear Physics Official URL 
Subjects: 
Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations Q Science > QA Mathematics (inc Computing science) > QA440 Geometry Q Science > QC Physics > QC20 Mathematical Physics 
Divisions:  Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics 
Depositing User:  Steffen Krusch 
Date Deposited:  24 Jun 2013 10:25 UTC 
Last Modified:  06 May 2020 03:08 UTC 
Resource URI:  https://kar.kent.ac.uk/id/eprint/34381 (The current URI for this page, for reference purposes) 
Krusch, Steffen:  https://orcid.org/0000000331268635 
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