Electromagnetic structure of the nucleon in the perturbative chiral quark model

V. E. Lyubovitskij, Th Gutsche, Amand Faessler

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

We apply the perturbative chiral quark model (PCQM) at one loop to analyze the electromagnetic structure of nucleons. This model is based on an effective Lagrangian, where baryons are described by relativistic valence quarks and a perturbative cloud of Goldstone bosons. Including the electromagnetic interaction we first develop the formalism up to one loop in the Goldstone boson fluctuation relying on renormalization by use of counterterms. Local gauge invariance is satisfied both on the Lagrangian level and also for the relevant baryon matrix elements in the Breit frame. We apply the formalism to obtain analytical expressions for the nucleon charge and magnetic form factors, which are expressed in terms of fundamental parameters of low-energy pion-nucleon physics (weak pion decay constant, axial nucleon coupling, strong pion-nucleon form factor) and of only one model parameter (radius of the nucleonic three-quark core). A detailed numerical analysis of the nucleon magnetic moments, charge and magnetic radii, and also the momentum dependence of form factors is presented.

Original languageEnglish
Pages (from-to)652031-6520316
Number of pages5868286
JournalPhysical Review C - Nuclear Physics
Volume64
Issue number6
DOIs
Publication statusPublished - Dec 2001
Externally publishedYes

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quark models
form factors
pions
electromagnetism
baryons
bosons
quarks
formalism
nucleonics
radii
electromagnetic interactions
gauge invariance
nucleons
numerical analysis
magnetic moments
valence
momentum
physics
decay
matrices

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Electromagnetic structure of the nucleon in the perturbative chiral quark model. / Lyubovitskij, V. E.; Gutsche, Th; Faessler, Amand.

In: Physical Review C - Nuclear Physics, Vol. 64, No. 6, 12.2001, p. 652031-6520316.

Research output: Contribution to journalArticle

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