Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-01-25
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, 2 figures, latex. v3: Extended and revised version, some clarifications added. Some references and 2 figures added.
Scientific paper
The Skyrme model is a low-energy effective field theory for QCD, where the baryons emerge as soliton solutions. It is, however, not so easy within the standard Skyrme model to reproduce the almost exact linear growth of the nuclear masses with the baryon number (topological charge), due to the lack of Bogomolny solutions in this model, which has also hindered analytical progress. Here we identify a submodel within the Skyrme-type low energy effective action which does have a Bogomolny bound and exact Bogomolny solutions, and therefore, at least at the classical level, reproduces the nuclear masses by construction. Due to its high symmetry, this model qualitatively reproduces the main features of the liquid droplet model of nuclei. Finally, we discuss under which circumstances the proposed sextic term, which is of an essentially geometric and topological nature, can be expected to give a reasonable description of properties of nuclei.
Adam Christoph
Sanchez-Guillen Joaquin
Wereszczynski Andrzej
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