Electromagnetic Structure of the Nucleon in the Perturbative Chiral Quark Model

Abstract

We apply the perturbative chiral quark model (PCQM) at one loop to analyse 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 for the nucleon magnetic moments, charge and magnetic radii and also for the momentum dependence of form factors is presented.

37 pages, 9 figures

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• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• Axial form factor of the nucleon in the perturbative chiral quark model
• Electromagnetic nucleon-delta transition in the perturbative chiral quark model
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• Nucleon QCD sum rules in nuclear matter including four-quark condensates
• A New Approach to Physics of Nuclei
• Neutrino mediated muon--electron conversion in nuclei revisited
• Meson cloud contributions to baryon axial form factors
• Ground-state baryon masses in the perturbative chiral quark model
• QCD Sum Rules Description of Nucleons in Asymmetric Nuclear Matter
• Study of baryon octet electromagnetic form factors in perturbative chiral quark model
• Expectation values of four-quark operators in the nucleon
• Strong CP violation and the neutron electric dipole form factor
• Chiral corrections to the vector and axial couplings of quarks and baryons
• Dependence of nucleon properties on pseudoscalar meson masses
• Mass spectrum of the J^P=1/2^- and 3/2^- pentaquark antidecuplets in the perturbative chiral quark model
• The role of the in-medium four-quark condensates revised
• QCD sum rules for the baryon octet in nuclear matter
• Chiral Dynamics of Baryons in a Lorentz Covariant Quark Model
• Magnetization screening from gluonic currents and scaling law violation in the ratio of magnetic form factors for neutron and proton
• Axial transition form factors of octet baryons in the perturbative chiral quark model
• Lower Excitation Spectrum of the Nucleon and Delta in a Relativistic Chiral Quark Model
• Analysis of excited quark propagator effects on neutron charge form factor
• Spectrum of the excited $N^{\ast }$ and ${\Delta }^{\ast }$ baryons in a relativistic chiral quark model
• Magnetic moments of S-shell pentaquarks in the constituent quark model
• Comparisons of electric charge and axial charge meson cloud distributions in the PCQM