On the spin excitation energy of the nucleon in the Skyrme model

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.

Latex, 8 pages, no figures

References in corpus (3)

• Quantum Field Theory of Fluids
• Near BPS Skyrmions and Restricted Harmonic Maps
• Nucleon-antinucleon Interaction from the Modified Skyrme Model

Cited by in corpus (5)

• Generalized Skyrme model with the loosely bound potential
• A new consistent Neutron Star Equation of State from a Generalized Skyrme model
• Realistic classical binding energies in the $\omega$-Skyrme model
• Neutron stars within the Skyrme model
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties