Multi-soliton states of spherically symmetric quartic submodels in five dimensional Skyrme Model

Abstract

We investigate spherically symmetric quartic submodels of five dimensional Skyrme model. By introducing a slightly modified ansatz which allows the topological charge B ≥ 1, we obtain a multi-solitonic solution. This multi-soliton state converges to the well-known B = 1 case satisfying the BPS limit which shows that the corresponding Bogomolny equation exists. The solutions are ”topologically degenerate” since there are multiple solutions with the same topological charge but different energies, with the exception on the prime topological charge which gives only a single value of energy. There is also a possible repulsive effect because the multi-soliton state energy is higher than the sum of the unit-soliton energy.