On the Spin of the B=7 Skyrmion

Abstract

We investigate the collective coordinate quantization of the icosahedrally symmetric B=7 Skyrmion, which is known to have a ground state with spin 7/2 and isospin 1/2. We find a particular quantum state maximally preserving the symmetries of the classical solution, and also present a novel relationship between the quantum state and the rational map approximation to the classical solution. We also investigate the allowed spin states if the icosahedral symmetry is partially broken. Skyrme field configurations with $D_5$ residual symmetry can be quantized with spin 3/2, giving a realistic model for the ground states of the ${}^7\mathrm{Li}{/}^7\mathrm{Be}$ isospin doublet

arXiv comment20 pages, 3 figures

References in corpus (11)

• Rational Maps, Monopoles and Skyrmions
• Symmetric Skyrmions
• Skyrmions, Fullerenes and Rational Maps
• Skyrmions and the alpha-particle model of nuclei
• Solitonic fullerene structures in light atomic nuclei
• Zero mode quantization of multi-Skyrmions
• Reparametrising the Skyrme Model using the Lithium-6 Nucleus
• A zero-mode quantization of the Skyrmion
• Finkelstein-Rubinstein constraints for the Skyrme model with pion masses
• Vibrational spectrum of the B=7 Skyrme soliton
• Angularly localized Skyrmions

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• Recent Developments in the Skyrme Model