Inertial parameters of the Skyrmion-Skyrmion system with the product ansatz
Abstract
The kinetic energy of the Skyrmion-Skyrmion system is calculated in the product ansatz. The energy is expanded in a set of rotationally invariant quadratic functions of translational and iso-rotational velocities in the product ansatz and all inertial parameters are evaluated. Most of the iso-spin dependent parameters are small at separations larger than 1 fm. However, some parameters of the coupling between the iso-rotational velocities of the Skyrmions decay slowly, as 1/R, when zero pion mass is used. Otherwise we find that the results are not sensitive to the addition of the pion mass term.
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