Realistic classical binding energies in the ω-Skyrme model

Gudnason, Sven Bjarke; Speight, J.M.

doi:10.1007/jhep07(2020)184

Cited by 24 publications

(22 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…By that, we mean that the twisted solution where one of the cubes is rotated by 90 degrees around the axis joining them, does not exist in this model as it collapses into a fullerene-like solution, see Figs. 13(c) and 14(c), albeit with higher energy than the original D 6d symmetric solution predicted by the rational map approximation-this is because this fullerene-like solution is fully degenerate at small M. This collapse of the twisted double cube B ¼ 8 Skyrmion has been observed also in other Skyrme-like models, see Ref. [34]. The existence of another fullerene-like solution has also been observed in Ref.…”

Section: Numerical Resultssupporting

confidence: 62%

“…The existence of another fullerene-like solution has also been observed in Ref. [34]. Of course, such existence or nonexistence of the different solutions and which one is the global minimizer of the energy functional, is very dependent on the model and in particular on the potential.…”

Section: Numerical Resultssupporting

confidence: 59%

“…In order to explore the model, we need to find numerical solutions to the equations of motion, which we will solve by using the arrested Newton flow method [34] for a cubic 100 3 lattice, where the spatial derivatives are discretized using a standard finite difference scheme with a fourthorder 5-point stencil. The arrested Newton flow is updated in the "time direction" using a fourth-order Runge-Kutta method.…”

Section: B Numerical Methodsmentioning

confidence: 99%

See 2 more Smart Citations

Linked vortices as baryons in the miscible BEC-Skyrme model

Gudnason

Nitta

2020

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We introduce a variation of the Bose-Einstein condensate(BEC)-Skyrme model, with an altered potential for miscible BECs that gives rise to two physical vortex strings. In the ground state of each topological sector, the vortices are linked exactly B times, due to a recently formulated theorem, with B being the baryon number of the solution. The model also possesses metastable states, where the vortices are degenerate and do not lend the interpretation of the baryon number as the linking number of the vortices.

show abstract

Section: Numerical Resultssupporting

confidence: 62%

Section: Numerical Resultssupporting

confidence: 59%

Section: B Numerical Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Linked vortices as baryons in the miscible BEC-Skyrme model

Gudnason

Nitta

2020

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…This is a computationally extremely expensive work and can be carried out only for the 2-dimensional case unless very clever adaptive methods are being used. The numerical calculations performed here are carried out with a fourth-order 5-point stencil finite-difference method using the arrested Newton flow [35] on a square grid of sizes up to ∼ 3226 2 ∼ 10 7 with lattice spacing down to ∼ 0.0037. Our numerical accuracy is about 10 −6 or better.…”

Section: Numerical Calculationsmentioning

confidence: 99%

Near-BPS baby Skyrmions

Gudnason

Barsanti

Bolognesi

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We consider the baby-Skyrme model in the regime close to the so-called restricted baby-Skyrme model, which is a BPS model with area-preserving diffeomorphism invariance. The perturbation takes the form of the standard kinetic Dirichlet term with a small coefficient ϵ. Classical solutions of this model, to leading order in ϵ, are called restricted harmonic maps. In the BPS limit (ϵ → 0) of the model with the potential being the standard pion-mass term, the solution with unit topological charge is a compacton. Using analytical and numerical arguments we obtain solutions to the problem for topological sectors greater than one. We develop a perturbative scheme in ϵ with which we can calculate the corrections to the BPS mass. The leading order ($$ \mathcal{O}\left({\upepsilon}^1\right) $$ O ϵ 1 ) corrections show that the baby Skyrmion with topological charge two is energetically preferred. The binding energy requires us to go to the third order in ϵ to capture the relevant terms in perturbation theory, however, the binding energy contributes to the total energy at order ϵ2. We find that the baby Skyrmions — in the near-BPS regime — are compactons of topological charge two, that touch each other on their periphery at a single point and with orientations in the attractive channel.

show abstract

“…Recently, multi-skyrmions have been studied in the presense of vector mesons. First by Sutcliffe-Naya who investigated the Skyrme model coupled to the ρ meson [22] and then by Gudnason-Speight who studied the Skyrme model coupled to a ω meson [23].…”

Section: Jhep12(2021)039mentioning

confidence: 99%

A consistent two-skyrmion configuration space from instantons

Halcrow

Winyard

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

To study a nuclear system in the Skyrme model one must first construct a space of low energy Skyrme configurations. However, there is no mathematical definition of this configuration space and there is not even consensus on its fundamental properties, such as its dimension. Here, we propose that the full instanton moduli space can be used to construct a consistent skyrmion configuration space, provided that the Skyrme model is coupled to a vector meson which we identify with the ρ-meson. Each instanton generates a unique skyrmion and we reinterpret the 8N instanton moduli as physical degrees of freedom in the Skyrme model. In this picture a single skyrmion has six zero modes and two non-zero modes: one controls the overall scale of the solution and one the energy of the ρ-meson field. We study the N = 1 and N = 2 systems in detail. Two interacting skyrmions can excite the ρ through scattering, suggesting that the ρ and Skyrme fields are intrinsically linked. Our proposal is the first consistent manifold description of the two-skyrmion configuration space. The method can also be generalised to higher N and thus provides a general framework to study any skyrmion configuration space.

show abstract

Realistic classical binding energies in the ω-Skyrme model

Cited by 24 publications

References 49 publications

Linked vortices as baryons in the miscible BEC-Skyrme model

Linked vortices as baryons in the miscible BEC-Skyrme model

Near-BPS baby Skyrmions

A consistent two-skyrmion configuration space from instantons

Contact Info

Product

Resources

About