A simple mass-splitting mechanism in the Skyrme model

Speight, J.M.

doi:10.1016/j.physletb.2018.04.026

Cited by 6 publications

(5 citation statements)

References 10 publications

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“…The ability to accommodate very low classical binding energies is a somewhat unexpected feature of the ω-Skyrme model. Another interesting feature is that the model can reproduce, in a very elementary manner, the mass splitting between protons and neutrons [18]. It would be interesting to see what effect the isospin symmetry breaking perturbation proposed in [18] has on the Skyrmions presented here.…”

Section: Resultsmentioning

confidence: 82%

“…Sutcliffe considered the model [17], but only constructed solutions of degree 1 to 4 within the rational map approximation, which approximates the field equations by ODEs. Recently, Speight considered the model with the addition of an (explicit) isospin symmetry breaking term in the form of a derivative coupling of the omega meson field and the pion field [18], but considered only the degree 1 sector where, again, only ODEs need be solved.…”

Section: Introductionmentioning

confidence: 99%

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Realistic classical binding energies in the ω-Skyrme model

Gudnason

Speight

2020

J. High Energ. Phys.

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An omega-meson extension of the Skyrme model-without the Skyrme term but including the pion mass-first considered by Adkins and Nappi is studied in detail for baryon numbers 1 to 8. The static problem is reformulated as a constrained energy minimisation problem within a natural geometric framework and studied analytically on compact domains, and numerically on Euclidean space. Using a constrained second-order Newton flow algorithm, classical energy minimisers are constructed for various values of the omegapion coupling. At high coupling, these Skyrmion solutions are qualitatively similar to the Skyrmions of the standard Skyrme model with massless pions. At sufficiently low coupling, they show similarities with those in the lightly bound Skyrme model: the Skyrmions of low baryon number dissociate into lightly bound clusters of distinct 1-Skyrmions, and the classical binding energies for baryon numbers 2 through 8 have realistic values.

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Section: Resultsmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Realistic classical binding energies in the ω-Skyrme model

Gudnason

Speight

2020

J. High Energ. Phys.

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“…The small isospin breaking present in Nature still remains largely unincorporated in the Skyrme model. The recent suggestion by Speight [40] is based on including the ω meson and an explicit symmetry breaking term. This direction of improving the Skyrme model is also considered for solving the binding energy problem.…”

Section: Discussionmentioning

confidence: 99%

Exploring the generalized loosely bound Skyrme model

Gudnason¹

2018

Phys. Rev. D

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The Skyrme model is extended with a sextic derivative term -called the BPS-Skyrme term -and a repulsive potential term -called the loosely bound potential. A large part of the model's parameter space is studied for the 4-Skyrmion which corresponds to the Helium-4 nucleus and emphasis is put on preserving as much of the platonic symmetries as possible whilst reducing the binding energies. We reach classical binding energies for Helium-4 as low as 0.2%, while retaining the cubic symmetry of the 4-Skyrmion, and after taking into account the quantum mass correction to the nucleon due to spin/isospin quantization, we get total binding energies as low as 3.6% -still with the cubic symmetry intact.

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“…Another approach is related with isospin symmetry breaking induced via coupling of the Skyrme field to vector mesons [73,74]. This effect can be modeled by adding to the Lagrangian an explicit symmetry breaking term [75] or via additional derivative terms [76]. We argue below that the coupling to the electrostatic field alone will break the symmetry of the Skyrme field, even in the sector of topological degree one.…”

Section: Introductionmentioning

confidence: 99%

Solitons in the gauged Skyrme-Maxwell model

Livramento¹,

Radu²,

Shnir³

2023

Preprint

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We consider soliton solutions of the U (1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree one, we find that coupling to the electromagnetic field breaks the symmetry of the configurations, the Skyrmions carrying both an electric charge and a magnetic flux, with an induced dipole magnetic moment. The Skyrmions also possess an angular momentum, which is quantized in the units of the electric charge. The mass of the gauged Skyrmions monotonically decreases with increase of the gauge coupling.

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A simple mass-splitting mechanism in the Skyrme model

Abstract: It is shown that the addition of a single chiral symmetry breaking term to the standard ω-meson variant of the nuclear Skyrme model can reproduce the proton-neutron mass difference. *

Cited by 6 publications

References 10 publications

Realistic classical binding energies in the ω-Skyrme model

Realistic classical binding energies in the ω-Skyrme model

Exploring the generalized loosely bound Skyrme model

Solitons in the gauged Skyrme-Maxwell model

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