Krusch, Steffen and Sutcliffe, Paul M. (2004) Sphalerons in the Skyrme model. Journal of Physics A: Mathematical and General, 37 (38). pp. 90379050. ISSN 03054470. (doi:10.1088/03054470/37/38/008) (Full text available)
PDF (Sphalerons in the Skyrme)  
Download (287kB)
Preview



Official URL http://dx.doi.org/10.1088/03054470/37/38/008 
Abstract
Numerical methods are used to compute sphaleron solutions of the Skyrme model. These solutions have topological charge zero and are axially symmetric, consisting of an axial charge n Skyrmion and an axial charge n antiSkyrmion (with n > 1), balanced in unstable equilibrium. The energy is slightly less than twice the energy of the axially symmetric charge n Skyrmion. A similar configuration with n = 1 does not produce a sphaleron solution, and this difference is explained by considering the interaction of asymptotic pion dipole fields. For sphaleron solutions with n > 4, the positions of the Skyrmion and antiSkyrmion merge to form a circle, rather than isolated points, and there are some features in common with Hopf solitons of the SkyrmeFaddeev model.
Item Type:  Article 

Subjects:  Q Science > QA Mathematics (inc Computing science) 
Divisions:  Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics 
Depositing User:  Judith Broom 
Date Deposited:  09 Sep 2008 15:37 UTC 
Last Modified:  29 Apr 2014 14:17 UTC 
Resource URI:  https://kar.kent.ac.uk/id/eprint/7984 (The current URI for this page, for reference purposes) 
 Export to:
 RefWorks
 EPrints3 XML
 BibTeX
 CSV
 Depositors only (login required):
Downloads
Downloads per month over past year