Skyrmion Vibration Modes within the Rational Map Ansatz

Lin, W.T.; Piette, B.

doi:10.1103/physrevd.77.125028

Skyrmion Vibration Modes within the Rational Map Ansatz

Lin, W.T.; Piette, B.

Authors

W.T. Lin

Professor Bernard Piette b.m.a.g.piette@durham.ac.uk
Professor

Abstract

We study the vibration modes of the Skyrme model within the rational map ansatz. We show that the vibrations of the radial profiles and the rational maps are decoupled and we consider explicitly the cases B=1, B=2, and B=4. We then compare our results with the vibration modes obtained numerically by Barnes et al. and show that qualitatively the rational map reproduces the vibration modes obtained numerically but that the vibration frequencies of these modes do not match very well.

Citation

Lin, W., & Piette, B. (2008). Skyrmion Vibration Modes within the Rational Map Ansatz. Physical Review D, 77(12), Article 125028. https://doi.org/10.1103/physrevd.77.125028

Journal Article Type	Article
Publication Date	Jun 24, 2008
Deposit Date	Nov 22, 2010
Publicly Available Date	Oct 15, 2013
Journal	Physical Review D
Print ISSN	1550-7998
Electronic ISSN	1550-2368
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	77
Issue	12
Article Number	125028
DOI	https://doi.org/10.1103/physrevd.77.125028