The Skyrme model

Zahed, Ismaïl; Brown, G. E.

doi:10.1016/0370-1573(86)90142-0

Cited by 686 publications

(386 citation statements)

References 98 publications

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“…The Skyrme model [12,13], while unrealistic in detail, is a good paradigm for how this works. It has long been known [14] that there are relations between observables in the Skyrme model which follow entirely from the collective degrees of freedom and are independent of all details of the model [15].…”

Section: Time-dependent Mean Field Frameworkmentioning

confidence: 99%

Total nucleon-nucleon cross sections in largeNcQCD

Cohen

Gelman

2012

Phys. Rev. C

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We use contracted spin-flavor symmetry which emerges in the large Nc limit of QCD to obtain relations between proton-proton and proton-neutron total cross sections for both polarized and unpolarized scattering. The formalism used is valid in the semi-classical regime in which the relative momentum of the incident nucleons is much larger than the inverse size of the nucleon, provided that certain technical assumptions are met. The relations should be phenomenologically useful provided that Nc = 3 is sufficiently large so that the large Nc results have at least semi-quantitative predictive power. The relations are model-independent in the sense that they depend on properties of large Nc QCD only and not on any particular model-dependent details of the nucleon-nucleon interaction. We compare these model-independent results to experimental data. We find the relation for spin-unpolarized scattering works well empirically. For the case of polarized scattering, the data is consistent with the relations but the cross sections are too small to make sharp predictions.

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Section: Time-dependent Mean Field Frameworkmentioning

confidence: 99%

Total nucleon-nucleon cross sections in largeNcQCD

Cohen

Gelman

2012

Phys. Rev. C

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“…These quantities are simply related [3,4,5] to the proton and neutron electric and magnetic radii < r 2 E,M > p,n and respective magnetic moments µ p,n . We also include the axialvector coupling constant g A .…”

Section: Our Analysismentioning

confidence: 99%

“…General reviews of the Skyrme model have been written by Holzwarth and Schwesinger [3], Zahed and Brown [4] and Meissner [5], among others.…”

Section: Introductionmentioning

confidence: 99%

On the static properties of baryons in the Skyrme model

Battistel¹

2004

Braz. J. Phys.

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We use a modified version of the Skyrme model in which the stabilizing fourth-order term is separated in two parts with different parameters that are introduced in the Lagrangian and could vary independently. The predictions for the static properties of baryons are calculated and results are compared with the respective experimental values and those of other authors. We show that it possible to improve in an expressive way the results for the set of the important quantities at the same time.

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“…Since these seminal papers there has been an enormous amount o f w ork relating the Skyrme model to phenomena in nuclear and particle physics, for instance targeting the spectrum of excitations of baryons [7], the inclusion of strange degrees of freedom in the model [8], the nucleon-nucleon potential [9,10], scattering N states [11], high density baryon matter as a Skyrme crystal [12] and the nucleon-anti-nucleon annihilation [13,14,15,16,17,18] to name a few. We will not consider these developments in detail here and refer the interested reader to the literature and to the many excellent reviews on the subject [19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Recent mathematical developments in the Skyrme model

Gisiger

1998

Physics Reports

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In this review we present a pedagogical introduction to recent, more mathematical developments in the Skyrme model. Our aim is to render these advances accessible to mainstream nuclear and particle physicists. We start with the static sector and elaborate on geometrical aspects of the de nition of the model. Then we review the instanton method which yields an analytical approximation to the minimum energy con guration in any sector of xed baryon number, as well as an approximation to the surfaces which join together all the low energy critical points. We present some explicit results for B = 2 . W e then describe the work done on the multibaryon minima using rational maps, on the topology of the con guration space and the possible implications of Morse theory. Next we turn to recent w ork on the dynamics of Skyrmions. We focus exclusively on the low energy interaction, speci cally the gradient o w method put forward by Manton. We illustrate the method with some expository toy models. We end this review with a presentation of our own work on the semi-classical quantization of nucleon states and low energy nucleon-nucleon scattering.

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The Skyrme model

Cited by 686 publications

References 98 publications

Total nucleon-nucleon cross sections in largeNcQCD

Total nucleon-nucleon cross sections in largeNcQCD

On the static properties of baryons in the Skyrme model

Recent mathematical developments in the Skyrme model

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