A non-linear field theory

Skyrme, T. H. R.

doi:10.1098/rspa.1961.0018

Cited by 1,928 publications

(639 citation statements)

References 2 publications

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“…It is natural to ask whether this intrinsic state approximation is also applicable in studying the nucleon. One obvious example is the Skyrme model [50,51], in which a single intrinsic soliton state generates an infinite band of collective spin-isopin rotations, with the spin-1/2 isospin-1/2 nucleon being the lowest state and the spin-3/2 isospin-3/2 ∆ being the first excited state. It is clear, however, that the Skryme model cannot be a quantitative model of the nucleon and ∆, since the infinite tower of predicted additional states are not observed in Nature.…”

Section: Discussionmentioning

confidence: 99%

Quark transverse charge densities in the from lattice QCD

et al. 2009

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We extend the formalism relating electromagnetic form factors to transverse quark charge densities in the light-front frame to the case of a spin-3/2 baryon and calculate these transverse densities for the ∆(1232) isobar using lattice QCD. The transverse charge densities for a transversely polarized spin-3/2 particle are characterized by monopole, dipole, quadrupole, and octupole patterns representing the structure beyond that of a pure point-like spin-3/2 particle. We present lattice QCD results for the ∆-isobar electromagnetic form factors for pion masses down to approximatively 350 MeV for three cases: quenched QCD, two-degenerate flavors of dynamical Wilson quarks, and three flavors of quarks using a mixed action that combines domain wall valence quarks and dynamical staggered sea quarks. We extract transverse quark charge densities from these lattice results and find that the ∆ is prolately deformed, as indicated by the fact that the quadrupole moment G E2 (0) is larger than the value −3 characterizing a point particle and the fact that the transverse charge density in a ∆ + of maximal transverse spin projection is elongated along the axis of the spin.

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Section: Discussionmentioning

confidence: 99%

Quark transverse charge densities in the from lattice QCD

et al. 2009

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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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“…In this dual description, baryons are expected to appear as solitons made of mesons fields, usually referred as skyrmions [2,3].…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, since the full theory of QCD mesons is not known, these studies have been carried out in truncated low-energy models either incorporating only pions [2,3] or few resonances [4].…”

Section: Introductionmentioning

confidence: 99%

Baryon physics in holographic QCD

2009

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In a simple holographic model for QCD in which the Chern-Simons term is incorporated to take into account the QCD chiral anomaly, we show that baryons arise as stable solitons which are the 5D analogs of 4D skyrmions. Contrary to 4D skyrmions and previously considered holographic scenarios, these solitons have sizes larger than the inverse cut-off of the model, and therefore they are predictable within our effective field theory approach. We perform a numerical determination of several static properties of the nucleons and find a satisfactory agreement with data. We also calculate the amplitudes of "anomalous" processes induced by the Chern-Simons term in the meson sector, such as ω → πγ and ω → 3π. A combined fit to baryonic and mesonic observables leads to an agreement with experiments within 16%.

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A non-linear field theory

Cited by 1,928 publications

References 2 publications

Quark transverse charge densities in the from lattice QCD

Quark transverse charge densities in the from lattice QCD

Total nucleon-nucleon cross sections in largeNcQCD

Baryon physics in holographic QCD

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