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)
PDF
Preprint
Language: English 

Download (437kB)
Preview

Preview 
This file may not be suitable for users of assistive technology.
Request an accessible format


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:  Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science 
Depositing User:  Steffen Krusch 
Date Deposited:  24 Jun 2013 10:25 UTC 
Last Modified:  16 Feb 2021 12:45 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 
 Export to:
 RefWorks
 EPrints3 XML
 BibTeX
 CSV
 Depositors only (login required):