Attractive Spin-Orbit Potential from the Skyrme Model

Halcrow, Chris; Harland, Derek

doi:10.1103/physrevlett.125.042501

Cited by 23 publications

(18 citation statements)

References 41 publications

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“…The pairing of perturbations can be understood by considering the symmetry of the torus. 4 Consider attractive channel scattering, as seen in figure 7. The reflection group G is a symmetry group along the entire path, and in particular it is a subgroup of D ∞h , the symmetry group of the torus.…”

Section: The N=2 Instanton-generated Skyrmionsmentioning

confidence: 99%

“…And, can we modify the interaction to better match meson physics? To help answer these questions, one could include the ρ-meson in a nucleon-nucleon interaction calculation, adapting the formalism developed in [4]. One could then constrain the parameters by comparing the skyrmion interaction to phenomenological nucleon-nucleon interactions.…”

Section: Further Work and Conclusionmentioning

confidence: 99%

“…Skyrmions have been used with some success to describe light stable nuclei [2], the nucleon-nucleon interaction [3,4] and neutron stars [5]. To describe nuclei, one usually starts with a space of classical Skyrme configurations and then applies a quantisation method.…”

Section: Introductionmentioning

confidence: 99%

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A consistent two-skyrmion configuration space from instantons

Halcrow

Winyard

2021

J. High Energ. Phys.

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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.

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Section: The N=2 Instanton-generated Skyrmionsmentioning

confidence: 99%

Section: Further Work and Conclusionmentioning

confidence: 99%

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A consistent two-skyrmion configuration space from instantons

Halcrow

Winyard

2021

J. High Energ. Phys.

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Section: Introductionmentioning

confidence: 99%

A consistent two-skyrmion configuration space from instantons

Halcrow,

Winyard

2021

Preprint

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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 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 relative size of the Skyrme and meson fields. We study the N = 1 and N = 2 systems in detail. Two interacting skyrmions can excite the meson field through scattering, suggesting that the meson 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.

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“…Recently observed electromagnetic skyrmions are relevant to topological skyrmions quasiparticles in high-energy physics and condensed matter [8,[17][18][19][20]. They have sophisticated vector topology [21][22][23], and enable applications in super-resolution microscopy [8], ultrafast imaging [24], and give rise to new types of spin-orbit optical forces [25].…”

mentioning

confidence: 99%

Supertoroidal light pulses: Propagating electromagnetic skyrmions in free space

Shen

Hou

Papasimakis

et al. 2021

Preprint

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Topologically complex transient electromagnetic fields give access to nontrivial light-matter interactions and provide additional degrees of freedom for information transfer. An important example of such electromagnetic excitations are space-time non-separable single-cycle pulses of toroidal topology, the exact solutions of Maxwell described by Hellwarth and Nouchi in 1996 and recently observed experimentally. Here we introduce a new family of electromagnetic excitation, the supertoroidal electromagnetic pulses, in which the Hellwarth-Nouchi pulse is just the simplest member. The supertoroidal pulses exhibit skyrmionic structure of the electromagnetic fields, multiple singularities in the Poynting vector maps and fractal-like distributions of energy backflow. They are of interest for transient light-matter interactions, ultrafast optics, spectroscopy, and toroidal electrodynamics.

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Attractive Spin-Orbit Potential from the Skyrme Model

Cited by 23 publications

References 41 publications

A consistent two-skyrmion configuration space from instantons

A consistent two-skyrmion configuration space from instantons

A consistent two-skyrmion configuration space from instantons

Supertoroidal light pulses: Propagating electromagnetic skyrmions in free space

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