A Skyrme model approach to the spin-orbit force

Halcrow, Chris; Manton, N. S.

doi:10.1007/jhep01(2015)016

Cited by 11 publications

(12 citation statements)

References 13 publications

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“…The shell model notion of the spin-orbit force is not present in the Skyrme model; instead there is an interaction potential which depends on the internal orientations of the Skyrmion clusters. The link between these ideas was explored in a 2-dimensional toy model in [13].…”

Section: Introductionmentioning

confidence: 99%

B=5 Skyrmion as a two-cluster system

Gudnason

Halcrow

2018

Phys. Rev. D

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The classical B ¼ 5 Skyrmion can be approximated by a two-cluster system in which a B ¼ 1 Skyrmion is attached to a core B ¼ 4 Skyrmion. We quantize this system, allowing the B ¼ 1 to freely orbit the core. The configuration space is 11 dimensional but simplifies significantly after factoring out the overall spin and isospin degrees of freedom. We exactly solve the free quantum problem and then include an interaction potential between the Skyrmions numerically. The resulting energy spectrum is compared to the corresponding nuclei-the helium-5/lithium-5 isodoublet. We find approximate parity doubling not seen in the experimental data. In addition, we fail to obtain the correct ground-state spin. The framework laid out for this two-cluster system can readily be modified for other clusters and in particular for other B ¼ 4n þ 1 nuclei, of which B ¼ 5 is the simplest example.

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Section: Introductionmentioning

confidence: 99%

B=5 Skyrmion as a two-cluster system

Gudnason

Halcrow

2018

Phys. Rev. D

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“…These internal phase rotations are the analogues of isospin rotations in the (3+1)-dimensional Skyrme model and therefore the aloof baby Skyrme model may be a good system in which to investigate the ideas on the spin-orbit force described recently in [10].…”

Section: Resultsmentioning

confidence: 99%

The dynamics of aloof baby Skyrmions

Salmi

Sutcliffe

2016

J. High Energ. Phys.

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Abstract:The aloof baby Skyrme model is a (2+1)-dimensional theory with solitons that are lightly bound. It is a low-dimensional analogue of a similar Skyrme model in (3+1)-dimensions, where the lightly bound solitons have binding energies comparable to nuclei. A previous study of static solitons in the aloof baby Skyrme model revealed that multi-soliton bound states have a cluster structure, with constituents that preserve their individual identities due to the short-range repulsion and long-range attraction between solitons. Furthermore, there are many different local energy minima that are all well-described by a simple binary species particle model. In this paper we present the first results on soliton dynamics in the aloof baby Skyrme model. Numerical field theory simulations reveal that the lightly bound cluster structure results in a variety of exotic soliton scattering events that are novel in comparison to standard Skyrmion scattering. A dynamical version of the binary species point particle model is shown to provide a good qualitative description of the dynamics.

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“…We start with a two-dimensional toy model of spin-momentum coupling, rather similar to what was analysed in [14]. Consider a vertical disc at a fixed height above a fixed, straight rail.…”

Section: Disc On a Railmentioning

confidence: 99%

“…We now suppose that Λ is small, so that 1 Λ is large compared to V 0 and to p 2 . The expressions we derive later will only be valid provided p 2 14) and the eigenvalue equation det( H 2×2 − ε1) = 0 reduces to…”

Section: Disc On a Railmentioning

confidence: 99%

“…This classical rolling motion gives the correct sign for the spin-orbit coupling. In earlier work, Halcrow and one of the present authors investigated a model of this type [14], but they only treated the case of a disc interacting with another disc in two dimensions. When the potential is strong, the model becomes a quantised version of cog wheels rolling around each other.…”

Section: Introductionmentioning

confidence: 99%

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Rolling Skyrmions and the nuclear spin-orbit force

Harland

Manton

2018

Nuclear Physics B

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We compute the nuclear spin-orbit coupling from the Skyrme model. Previous attempts to do this were based on the product ansatz, and as such were limited to a system of two well-separated nuclei. Our calculation utilises a new method, and is applicable to the phenomenologically important situation of a single nucleon orbiting a large nucleus. We find that, to second order in perturbation theory, the coefficient of the spin-orbit coupling induced by pion field interactions has the wrong sign, but as the strength of the pion-nucleon interactions increases the correct sign is recovered non-perturbatively. arXiv:1806.07330v2 [hep-th]

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A Skyrme model approach to the spin-orbit force

Cited by 11 publications

References 13 publications

B=5 Skyrmion as a two-cluster system

B=5 Skyrmion as a two-cluster system

The dynamics of aloof baby Skyrmions

Rolling Skyrmions and the nuclear spin-orbit force

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