Comment on ``Magnon wave forms in the presence of a soliton in two--dimensional antiferromagnets with a staggered field''

TL;DR

This paper critiques and corrects previous work on soliton-magnon scattering in 2D antiferromagnets, providing accurate solutions and guidance for proper analysis of the scattering problem.

Contribution

It offers corrected soliton and magnon solutions and clarifies the proper methodology for studying scattering in this context.

Findings

Corrected soliton and magnon solutions.

Identified errors in previous phase shift calculations.

Provided guidance for accurate scattering analysis.

Abstract

Very recently Fonseca and Pires [Phys. Rev. B 73, 012403(2006)] have studied the soliton--magnon scattering for the isotropic antiferromagnet and calculated ``exact'' phase shifts, which were compared with the ones obtained by the Born approximation. In this Comment we correct both the soliton and magnon solutions and point out the way how to study correctly the scattering problem.