Analytical Solution for the SU(2) Hedgehog Skyrmion and Static Properties of Nucleons

TL;DR

This paper presents an analytical solution for the SU(2) Skyrmion in the Skyrme model, enabling calculation of nucleon properties with results aligning well with numerical solutions and experimental data.

Contribution

It introduces a novel hybrid analytical solution for the SU(2) Skyrmion, facilitating the study of nucleon static properties within the Skyrme model framework.

Findings

Analytical solution closely matches numerical results.

Computed nucleon properties agree with experimental data.

Comparison with previous models shows improved accuracy.

Abstract

An analytical solution for symmetric Skyrmion was proposed for the SU(2) Skyrme model, which take the form of the hybrid form of a kink-like solution and that given by the instanton method. The static properties of nucleons was then computed within the framework of collective quantization of the Skyrme model, with a good agreement with that given by the exact numeric solution. The comparisons with the previous results as well as the experimental values are also given.