Skyrmion Vibration Modes within the Rational Map Ansatz

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, 13 figures, 5 tables

Scientific paper

10.1103/PhysRevD.77.125028

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 case 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.

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