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.

Comments: 25 pages, 24 uuencoded postscript figures. Uses epsf.sty