Bisolitonic ansatz for the Skyrme field

Abstract
A static solitonic configuration of the Skyrme field with baryonic number two (B=2) different from the product ansatz is achieved. This constrained solution depends on a separation parameter a; for a→∞ we get the product of two spherical B=1 Skyrmions. It is then possible to introduce the collective isorotational coordinates for each soliton. The resulting total mass is plotted as a function of a for various values of β=mπ/eFπ and e. It happens that for e sufficiently great it is always possible to find a relative minimum.

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