Spherically symmetric solutions of the 6th order SU(N) Skyrme models
I. Floratos, B.M.A.G. Piette
TL;DR
This paper constructs analytically radially symmetric, topologically non-trivial solutions for the 6th order SU(N) Skyrme models using a generalized rational map ansatz, revealing bound states of Skyrmions.
Contribution
It introduces a method to find analytical solutions for the 6th order SU(N) Skyrme models, extending the rational map ansatz to higher-order terms.
Findings
Analytical solutions for SU(3) Skyrme model with sixth order term.
Identification of bound states of Skyrmions.
Extension of the rational map ansatz to SU(N) models.
Abstract
We use the generalised rational map ansatz introduced by Ioannidou et al. to construct analytically some topologically non-trivial solutions of the generalised SU(3) Skyrme model defined by adding a sixth order term to the usual Lagrangian. These solutions are radially symmetric and some of them can be interpreted as bound states of Skyrmions. The same ansatz is used to construct low-energy configuration of the SU(N) Skyrme model.
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