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B=2 Oblate Skyrmions

L. Marleau·J. -F. Rivard
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Abstract

The numerical solution for the B=2 static soliton of the SU(2) Skyrme model shows a profile function dependence which is not exactly radial. We propose to quantify this with the introduction of an axially symmetric oblate ansatz parametrized by a scale factor d. We then obtain a relatively deformed bound soliton configuration with M_{B=2}/M_{B=1}=1.958. This is the first step towards to description of B>1 quantized states such as the deuteron with a non-rigid oblate ansatz where deformations due to centrifugal effects are expected to be more important.

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L. Marleau, J. -F. Rivard. 2005-01-14. B=2 Oblate Skyrmions. https://arxiv.org/abs/hep-ph/0405252

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