Ab initioapproach to the deuteron in the Skyrme-Witten model

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Abstract
An ab initio calculation of the deuteron in the Skyrme-Witten model is presented. Without assuming any a priori symmetries of the configuration, two B=1 skyrmions are placed on a three-dimensional lattice and a numerical relaxation procedure is used to find the minimum energy configuration. Using no free parameters, the well depth, range, mass, and quadrupole moment of the configuration are found to be in reasonable agreement with deuteron properties. Although the product ansatz is used initially, it is discovered that the relaxed configuration no longer appears to be that of a product of chiral fields. Thus the calculation seems to justify the symmetry assumptions of Braaten and Carson in their derivation of the deuteron quantum numbers.

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