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 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.

17 pages, 13 figures, 5 tables

References in corpus (8)

• Rational Maps, Monopoles and Skyrmions
• Skyrmions, Fullerenes and Rational Maps
• Skyrmions and the alpha-particle model of nuclei
• Spinning Skyrmions and the Skyrme Parameters
• On asymptotic stability of the Skyrmion
• Normal Mode Spectrum of the Deuteron in the Skyrme Model
• Normal Modes of the B=4 Skyrme Soliton
• Mass terms in the Skyrme Model

Cited by in corpus (9)

• Phase Transition and Anisotropic Deformations of Neutron Star Matter
• Vibrational modes of Skyrmions
• Rotational-vibrational coupling in the BPS Skyrme model of baryons
• Oscillons in a perturbed signum-Gordon model
• Radial vibrations of BPS skyrmions
• ADHM skyrmions
• Roper resonances and quasi-normal modes of Skyrmions
• Skyrmion vibrational energies with a generalized mass term
• Experimental and Theoretical Evidence for Extended Particle Models