Skyrmions in models with pions and rho mesons

A bstract 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 dim...

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Published in:The journal of high energy physics Vol. 2018; no. 5; pp. 1 - 14
Main Authors: Naya, Carlos, Sutcliffe, Paul
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018
Springer Nature B.V
SpringerOpen
Subjects:
Binding energy
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Hypothetical particles
Mathematical models
Particle theory
Physics
Physics and Astronomy
Pions
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Rho-mesons
Sigma Models
Solitons Monopoles and Instantons
String Theory
Yang-Mills theory
Sigma Models
Solitons Monopoles and Instantons
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract 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.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2018)174