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

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