Abstract
We consider the Skyrme model in the near-BPS limit. The BPS part is made of the sextic term plus a potential and the deformation is made of the standard massive Skyrme model controlled by a small parameter ϵ ≪ 1. In order to keep the perturbation under theoretical and computational control, we find a model for which BPS Skyrmions have compact support, henceforth denoted as compactons, and the spherically symmetric B = 1 Skyrmion represents the most stable solution. We use the ϵ-expansion scheme to systematically calculate the corrections to the energy and compare with the exact numerical computations in the B = 1 sector. Finally, we use the ϵ-expansion scheme to calculate the bound state of two B = 1 Skyrmions and its binding energy, which corresponds, prior to quantization, to the deuteron in our model.
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