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

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.

21 pages, 8 figures

References in corpus (4)

• Skyrmions, instantons and holography
• Light Nuclei of Even Mass Number in the Skyrme Model
• Interactions of B = 4 Skyrmions
• Symmetries and exact solutions of the BPS Skyrme model

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• The BPS sectors of the Skyrme model and their non-BPS extensions
• False vacuum Skyrmions revisited
• Chiral Dirac-Born-Infeld solitons with SDiff symmetry
• Locations of JNR skyrmions