Analytical Analysis and Numerical Solution of Two Flavours Skyrmion

TL;DR

This paper provides an analytical and numerical study of two-flavor Skyrmions, focusing on static and rotational solutions of the Skyrme equations, using finite difference methods for the nonlinear scalar field.

Contribution

It offers a comprehensive analysis combining analytical solutions with numerical methods for the two-flavor Skyrmion model, expanding on previous work.

Findings

Analytical solutions for static and rotational Skyrmions.

Numerical solutions of the nonlinear Skyrme equation using finite difference method.

Enhanced understanding of two-flavor Skyrmion configurations.

Abstract

Two flavours Skyrmion will be analyzed analytically, in case of static and rotational Skyrme equations. Numerical solution of a nonlinear scalar field equation, i.e. the Skyrme equation, will be worked with finite difference method. This article is a more comprehensive version of \textit{SU(2) Skyrme Model for Hadron} which have been published at Journal of Theoretical and Computational Studies, Volume \textbf{3} (2004) 0407.