### 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 language | English |
---|---|

Pages (from-to) | 652031-6520316 |

Number of pages | 5868286 |

Journal | Physical Review C - Nuclear Physics |

Volume | 64 |

Issue number | 6 |

DOIs | |

Publication status | Published - Dec 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review C - Nuclear Physics*,

*64*(6), 652031-6520316. https://doi.org/10.1103/PhysRevC.64.065203

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

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 64, no. 6, pp. 652031-6520316. https://doi.org/10.1103/PhysRevC.64.065203

}

TY - JOUR

T1 - Electromagnetic structure of the nucleon in the perturbative chiral quark model

AU - Lyubovitskij, V. E.

AU - Gutsche, Th

AU - Faessler, Amand

PY - 2001/12

Y1 - 2001/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0035605685&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035605685&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.64.065203

DO - 10.1103/PhysRevC.64.065203

M3 - Article

AN - SCOPUS:0035605685

VL - 64

SP - 652031

EP - 6520316

JO - Physical Review C

JF - Physical Review C

SN - 0556-2813

IS - 6

ER -