Skyrmion Vibration Modes within the Rational Map Ansatz

Lin, W.T.; Piette, B.

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 - Particles, Fields, Gravitation, and Cosmology
• 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
• Public URL: https://durham-repository.worktribe.com/output/1513679