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Title: Skyrmion vibration modes within the rational map ansatz

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.

Authors:
;  [1]
  1. Department of Mathematical Sciences, University of Durham, Durham, DH1 3LE (United Kingdom)
Publication Date:
OSTI Identifier:
21205224
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.77.125028; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; COMPARATIVE EVALUATIONS; OSCILLATION MODES; SKYRME POTENTIAL; TOPOLOGICAL MAPPING

Citation Formats

Lin, W T, and Piette, B. Skyrmion vibration modes within the rational map ansatz. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.125028.
Lin, W T, & Piette, B. Skyrmion vibration modes within the rational map ansatz. United States. https://doi.org/10.1103/PHYSREVD.77.125028
Lin, W T, and Piette, B. 2008. "Skyrmion vibration modes within the rational map ansatz". United States. https://doi.org/10.1103/PHYSREVD.77.125028.
@article{osti_21205224,
title = {Skyrmion vibration modes within the rational map ansatz},
author = {Lin, W T and Piette, B},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.77.125028},
url = {https://www.osti.gov/biblio/21205224}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 77,
place = {United States},
year = {Sun Jun 15 00:00:00 EDT 2008},
month = {Sun Jun 15 00:00:00 EDT 2008}
}