A FINITE ELEMENT APPROACH TO THE TWO-SKYRMION PROBLEM

摘要

A finite element approach is applied to find the static solution of two solitons in the Skyrme model for low-energy QCD. Because of the possibility to use unevenly spaced lattices, accuracies in the critical regions are improved without increasing the amount of computation. The three-dimensional space is divided into a lattice of 25 x 25 x 35 points and a sparse matrix of dimension 109 375 is inverted in each iteration to solve the non-linear differential equation. A WKB estimate shows that the potential, after quantum corrections, is sufficiently attractive for the deuteron to be bound in the model. (C) 1997 Elsevier Science B.V. [References: 14]