Spinning skyrmions and the Skyrme parameters

Battye, Richard A.; Krusch, Steffen; Sutcliffe, Paul

doi:10.1016/j.physletb.2005.08.097

Cited by 70 publications

(126 citation statements)

References 19 publications

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“…As discussed earlier, the value g = 96.7 is taken from [5], which involves g = 96.7 fitting properties of the single Skyrmion to the nucleon and delta, whilst treating F π as a free parameter. However, it is known that this method of parameter fitting can be problematic, in any Skyrme model, because of difficulties associated with the rigid rotor approximation [23]. Access to the properties of multi-Skyrmions allows the following alternative procedure to be applied.…”

Section: Constructing Multi-skyrmionsmentioning

confidence: 99%

Multi-Skyrmions with vector mesons

Sutcliffe

2009

Phys. Rev. D

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It is known that including vector mesons stabilizes the size of a Skyrmion without the need for a Skyrme term. This paper provides the first results for static multiSkyrmions in such a theory. The rational map ansatz is used to investigate multiSkyrmions in a theory which includes the ω vector meson and has no Skyrme term. Bound states with baryon numbers two, three and four are found, which have axial, tetrahedral and cubic symmetries, respectively. The results reveal a qualitative similarity with the standard Skyrme model with a Skyrme term and no vector mesons, suggesting that some features are universal and do not depend on the details of the theory. Setting the pion decay constant and meson masses to their experimental values leaves only a single free parameter in the model. Fixing this parameter, by equating the energy of the baryon number four Skyrmion to the He 4 mass, yields reasonable results for other baryon numbers.

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Section: Constructing Multi-skyrmionsmentioning

confidence: 99%

Multi-Skyrmions with vector mesons

Sutcliffe

2009

Phys. Rev. D

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“…In work based on the conventional semiclassical quantization the pion mass term has in contrast to be introduced by way of an explicit chiral symmetry breaking term. In that method the requirement of rotational stability requires a value for the pion mass that is considerably larger than the empirical value [26]. With such large values for the pion mass the chiral symmetry breaking term leads to spatial configurations for the ground state solution of the Skyrme model with baryon number larger than 4, which differ significantly from those obtained in the chiral limit [27].…”

Section: Discussionmentioning

confidence: 99%

The α particle as a canonically quantized multiskyrmion

2006

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The rational map approximation to the solution to the SU(2) Skyrme model with baryon number B = 4 is canonically quantized. The quantization procedure leads to anomalous breaking of the chiral symmetry, and exponential falloff of the energy density of the soliton at large distances. The model is extended to SU(2) representations of arbitrary dimension. These soliton solutions capture the double node feature of the empirical α particle charge form factor, but as expected lead to a too compact matter distribution. Comparison to phenomenology indicates a preference for the fundamental representation. PACS numbers: 12.39Dc, 21.10Dr

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“…In the standard Skyrme model there are many ways to calibrate the model, with the original calibration obtained by matching the masses of the nucleon and delta resonance using a rigid rotor quantization [33,34]. However, the delta is a broad resonance that strongly radiates pions, which is related to the fact that the spin of the delta strongly deforms the B = 1 Skyrmion and this has a rather complicated effect on the calibration of the model [35]. Furthermore, the calibration using the B = 1 sector does not provide an accurate fit for the properties of JHEP05 (2018)174 nuclei with larger values of B, so alternative calibrations have been proposed to provide a better match for larger nuclei [36].…”

Section: Jhep05(2018)174 4 Conclusionmentioning

confidence: 99%

Skyrmions in models with pions and rho mesons

Naya

Sutcliffe

2018

J. High Energ. Phys.

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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 multiSkyrmions 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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Spinning skyrmions and the Skyrme parameters

Cited by 70 publications

References 19 publications

Multi-Skyrmions with vector mesons

Multi-Skyrmions with vector mesons

The α particle as a canonically quantized multiskyrmion

Skyrmions in models with pions and rho mesons

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