INVESTIGATION OF THE BOUNDARY-VALUE PROBLEM CORRESPONDING TO A GENERALIZED SKYRME LAGRANGIAN

A detailed numerical analysis of the boundary value problem resulting from the most general Skyrme type lagrangian containing up to quartic terms in field gradients is presented. The additional parameters in th e lagrangian can be related to pion-pion scattering lengths. It is fou nd that solutions to the boundary value problem does not exist for all values of the parameters and in particular, for the values predicted from pion-pion scattering data. Physical quantities of the nucleon are calculated for the highest possible values of the parameters admittin g a solution and are compared with the corresponding values for the Sk yrme model and experimental values.