{ "id": "1608.00979", "version": "v1", "published": "2016-08-02T20:00:07.000Z", "updated": "2016-08-02T20:00:07.000Z", "title": "On the spin excitation energy of the nucleon in the Skyrme model", "authors": [ "C. Adam", "J. Sanchez-Guillen", "A. Wereszczynski" ], "comment": "Latex, 8 pages, no figures", "categories": [ "nucl-th", "hep-ph" ], "abstract": "In the Skyrme model of nucleons and nuclei, the spin excitation energy of the nucleon is traditionally calculated by a fit of the rigid rotor quantization of spin/isospin of the fundamental Skyrmion (the hedgehog) to the masses of the nucleon and the Delta resonance. The resulting, quite large spin excitation energy of the nucleon of about $ 73\\, \\mbox{MeV}$ is, however, rather difficult to reconcile with the small binding energies of physical nuclei, among other problems. Here we argue that a more reliable value for the spin excitation energy of the nucleon, compatible with many physical constraints, is about $ 16\\, \\mbox{MeV}$. The fit of the rigid rotor to the Delta, on the other hand, is problematic in any case, because it implies the use of a nonrelativistic method for a highly relativistic system.", "revisions": [ { "version": "v1", "updated": "2016-08-02T20:00:07.000Z" } ], "analyses": { "keywords": [ "skyrme model", "large spin excitation energy", "rigid rotor quantization", "fundamental skyrmion", "delta resonance" ], "note": { "typesetting": "LaTeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }