Skyrmions in models with pions and rho mesons

Naya, Carlos; Sutcliffe, Paul

Abstract

A problem with the standard Skyrme model is that Skyrmion binding energies are around 15%, being much larger than the order 1% binding energies of the nuclei that they aim to describe. Here we consider theories that extend the standard Skyrme model of pions by including rho mesons, via dimensional deconstruction of Yang-Mills theory with an extra dimension. We report the first results of parallel numerical computations of multi-Skyrmions in theories of this type, including a model that reduces Skyrmion energies below those of the standard Skyrme model whilst retaining exactly the same Faddeev-Bogomolny energy bound. We compute all Skyrmions with baryons numbers up to 12 and find that the inclusion of rho mesons reduces binding energies to less than 4%, and therefore moves Skyrmion theory closer to experimental data. Furthermore, we find that this dramatic reduction in binding energies is obtained without changing the qualitative features of the Skyrmions, such as their symmetries.

Citation

Naya, C., & Sutcliffe, P. (2018). Skyrmions in models with pions and rho mesons. Journal of High Energy Physics, 2018(5), Article 174. https://doi.org/10.1007/jhep05%282018%29174

• Journal Article Type: Article
• Acceptance Date: May 24, 2018
• Online Publication Date: May 28, 2018
• Publication Date: May 28, 2018
• Deposit Date: Jun 4, 2018
• Publicly Available Date: Jun 5, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 5
• Article Number: 174
• DOI: https://doi.org/10.1007/jhep05%282018%29174
• Public URL: https://durham-repository.worktribe.com/output/1357822