Skyrmions and the pion mass

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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17 pages, including 8 figures. Version to appear in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2004.11.018

We present numerical evidence that suggests the introduction of a non-zero pion mass might dramatically affect the structure of minimal energy Skyrmions. It appears that the shell-like Skyrmions which are the minima when the pions are massless can fail to be minimal energy bound states for particular baryon numbers, with a strong dependence upon the value of the pion mass. The effects of a pion mass may include the replacement of shell-like configurations with crystal chunks and the loss of shell-like bound states with baryon numbers five and eight; which is in agreement with expectations based on real nuclei.

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