2015
DOI: 10.1007/jhep01(2015)016
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A Skyrme model approach to the spin-orbit force

Abstract: The spin-orbit force is a vital tool in describing finite nuclei and nucleon interactions; however its microscopic origin is not fully understood. In this paper we study a model inspired by Skyrmions which provides a classical explanation of the force. To simplify the calculations the Skyrmions are approximated as two-dimensional rigid discs which behave like quantum cogwheels.

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Cited by 11 publications
(12 citation statements)
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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%
“…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%
“…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%
“…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%
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