Negative Baryon density and the Folding structure of the B=3 Skyrmion

Krusch, Steffen and 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. 265401-265419. ISSN 1751-8113. (doi:https://doi.org/10.1088/1751-8113/46/26/265401) (Full text available)

Abstract

The Skyrme model is a non-linear field theory whose solitonic solutions, once quantised, describe atomic nuclei. The classical static soliton solutions, so-called Skyrmions, have interesting symmetries and can only be calculated numerically. Mathematically, these Skyrmions can be viewed as maps between two three-manifolds 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
Projects:	[159] Skyrmion-Skyrmion 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:	05 Feb 2016 10:19 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/34381 (The current URI for this page, for reference purposes)