The unified Skyrmion profiles and Static Properties of Nucleons

TL;DR

This paper proposes a unified approximate solution for symmetric Skyrmions in the SU(2) Skyrme model up to baryon number 8, combining kink-like and instanton solutions, and analyzes nucleon properties with good agreement to numerical and experimental data.

Contribution

It introduces a hybrid approximation method for symmetric Skyrmions that effectively captures static properties of nucleons up to baryon number 8.

Findings

Skyrmion profiles match numerical results closely.

Computed nucleon static properties agree with experimental data.

The method improves understanding of Skyrmion structure and nucleon characteristics.

Abstract

An unified approximated solution for symmetric Skyrmions was proposed for the SU(2) Skyrme model for baryon numbers up to 8,which take the hybrid form of a kink-like solution and that given by the instanton method. The Skyrmion profiles are examined by computing lowest soliton energy as well as the static properties of nucleons within the framework of collective quantization, with a good agreement with the exact numeric results. The comparisons with the previous computations as well as the experimental data are also given.