Isospinning Skyrmions

Abstract

In the Skyrme model atomic nuclei are modelled as quantized soliton solutions in a nonlinear field theory of pions. The mass number is given by the conserved topological charge $B$ of the solitons. Conventionally, Skyrmions are semiclassically quantized within the rigid body approach. In this approach Skyrmions are effectively treated as rigid rotors in space and isospace that is it is assumed that Skyrmions do not deform at all when they spin and isospin. This approximation resulted in qualitative and encouraging quantitative agreement with experimental nuclear physics data. In this talk, we point out that the theoretical agreement could be further improved by allowing classical Skyrmion solutions to deform as they spin and isospin. As a first step towards a better understanding of how nuclei can be approximated by classically spinning and isospinning soliton solutions, we study how classical Skyrmion solutions of topological charges $B=1-4,8$ deform when classical isospin is added.

arXiv comment12 pages, 5 figures. Talk given at 18th International Seminar on High Energy Physics: Quarks - 2014, Suzdal, Russia, 2-8 June, 2014, typos corrected, references added

References in corpus (24)

• Rational Maps, Monopoles and Skyrmions
• Dynamics of Baby Skyrmions
• Femtometer Toroidal Structures in Nuclei
• Skyrmions and the alpha-particle model of nuclei
• Light Nuclei of Even Mass Number in the Skyrme Model
• Skyrmions with massive pions
• Light Nuclei as Quantized Skyrmions
• Spinning Skyrmions and the Skyrme Parameters
• Skyrmions up to Baryon Number 108
• States of Carbon-12 in the Skyrme Model
• Homotopy of Rational Maps and the Quantization of Skyrmions
• Multi-soliton dynamics in the Skyrme model
• Quantising the B=2 and B=3 Skyrmion systems
• Zero mode quantization of multi-Skyrmions
• Nuclear binding energies from a BPS Skyrme model
• Isospinning baby Skyrmion solutions
• Classically isospinning Skyrmion solutions
• A zero-mode quantization of the Skyrmion
• Classically Isospinning Hopf Solitons
• Isospinning hopfions
• Finkelstein-Rubinstein constraints for the Skyrme model with pion masses
• Isorotating Baby Skyrmions
• The quantization of the B=1 and B=2 Skyrmions
• On the Spin of the B=7 Skyrmion