Oblate skyrmions with B=2

Abstract

The numerical solution for the B = 2 static soliton of the SU(2) Skyrme model shows a profile-function dependence that is not exactly radial. We quantify this by introducing an axially symmetric oblate solution parametrized with a scale factor d. We then obtain a relatively deformed bound-soliton configuration with MB=2/MB=1 = 1.958. This is the first step toward the description of B = 2 quantized states, such as the deuteron, with a nonrigid oblate Ansatz, for which deformations due to centrifugal effects are expected to become important.PACS Nos.: 11.25.Mj, 13.85.Qk