Negative Baryon density and the Folding structure of the B=3 Skyrmion

TL;DR

This paper investigates the detailed structure of the B=3 Skyrmion, revealing regions of negative baryon density and analyzing how these regions depend on pion mass, using high-resolution numerical calculations.

Contribution

It provides a detailed numerical analysis of the singularity structure and negative baryon density in the charge three Skyrmion, including effects of pion mass.

Findings

Identification of regions with negative baryon density in the B=3 Skyrmion

Dependence of negative baryon density on pion mass

High-resolution mapping of Skyrmion singularities

Abstract

The Skyrme model is a non-linear field theory whose solitonic solutions, once quantised, describe atomic nuclei. The classical static soliton solutions, so-called Skyrmions, have interesting discrete symmetries and can only be calculated numerically. Mathematically, these Skyrmions can be viewed as maps between to two three-manifolds and, as such, their stable singularities can only be folds, cusps and swallowtails. Physically, the occurrence of singularities is related to negative baryon density. In this paper, we calculate the charge three Skyrmion to a high resolution in order to examine its singularity structure in detail. Thereby, we explore regions of negative baryon density. We also discuss how the negative baryon density depends on the pion mass.