Light Nuclei as Quantized Skyrmions

Abstract

We consider the rigid body quantization of Skyrmions with topological charges 1 to 8, as approximated by the rational map ansatz. Novel, general expressions for the elements of the inertia tensors, in terms of the approximating rational map, are presented and are used to determine the kinetic energy contribution to the total energy of the ground and excited states of the quantized Skyrmions. Our results are compared to the experimentally determined energy levels of the corresponding nuclei, and the energies and spins of a few as yet unobserved states are predicted.

33 pages, 16 figures, Section 13 replaced

References in corpus (18)

• Low energy hadron physics in holographic QCD
• Rational Maps, Monopoles and Skyrmions
• Symmetric Skyrmions
• Dynamics of Baryons from String Theory and Vector Dominance
• Skyrmions, Fullerenes and Rational Maps
• Nuclear Structure based on Correlated Realistic Nucleon-Nucleon Potentials
• Skyrmions and the alpha-particle model of nuclei
• Skyrmions with massive pions
• Skyrmions and the pion mass
• Solitonic fullerene structures in light atomic nuclei
• Spinning Skyrmions and the Skyrme Parameters
• Attractive Channel Skyrmions and the Deuteron
• Homotopy of Rational Maps and the Quantization of Skyrmions
• Multi-soliton dynamics in the Skyrme model
• Zero mode quantization of multi-Skyrmions
• Reparametrising the Skyrme Model using the Lithium-6 Nucleus
• Characteristic predictions of topological soliton models
• On the Spin of the B=7 Skyrmion

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• Bogomolny equation for the BPS Skyrme model from the strong necessary conditions
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• Finkelstein-Rubinstein constraints from ADHM data and rational maps
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• Experimental and Theoretical Evidence for Extended Particle Models
• Recent Developments in the Skyrme Model
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