On the physics behind the form factor ratio ${\mu }_p{G}_E^p(Q^2)/G_M^p(Q^2)$

Abstract

We point out that there exist two natural definitions of the nucleon magnetization densities : the density ${\rho }_M^K(r)$ introduced in Kelly's phenomenological analysis and theoretically more standard one ${\rho }_M(r)$. We can derive an explicit analytical relation between them, although Kelly's density is more useful to disentangle the physical origin of the different $Q^2$ dependence of the Sachs electric and magnetic form factors of the nucleon. We evaluate both of ${\rho }_M(r)$ and ${\rho }_M^K(r)$ as well as the charge density ${\rho }_{ch}(r)$ of the proton within the framework of the chiral quark soliton model, to find a noticeable qualitative difference between ${\rho }_{ch}(r)$ and ${\rho }_M^K(r)$, which is just consistent with Kelly's result obtained from the empirical information on the Sachs electric and magnetic form factors of the proton.

12 pages, 5 figures. version to appear in J. Phys. G.: Nucl. Part. Phys

References in corpus (32)

• Measurement of GEp/GMp in ep -> ep to Q2 = 5.6 GeV2
• Nucleon Electromagnetic Form Factors
• Proton elastic form factor ratios to $Q^2$ = 3.5 GeV${}^2$ by polarization transfer
• Two-photon exchange and elastic electron-proton scattering
• How to reconcile the Rosenbluth and the polarization transfer method in the measurement of the proton form factors
• Baryons as non-topological chiral solitons
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Dispersion analysis of the nucleon form factors including meson continua
• Partonic calculation of the two-photon exchange contribution to elastic electron-proton scattering at large momentum transfer
• Nucleon electromagnetic form factors
• Baryons as Chiral Solitons in the Nambu--Jona-Lasinio Model
• A Coherent Interpretation of the Form Factors of the Nucleon in Terms of a Pion Cloud and Constituent Quarks
• Electromagnetic Form Factors of the Nucleon and Compton Scattering
• Two-Photon Physics in Hadronic Processes
• Light Front Cloudy Bag Model: Nucleon Electromagnetic Form Factors
• Nucleon Charge and Magnetization Densities from Sachs Form Factors
• $\Delta$ resonance contribution to two-photon exchange in electron-proton scattering
• Chiral Symmetry and the Nucleon Spin Structure Functions
• A pure S-wave covariant model for the nucleon
• Box diagram in the elastic electron-proton scattering
• $1/N_c$ Rotational Corrections to $g_A$ and Isovector Magnetic Moment of the Nucleon
• Contribution of spin 1/2 and 3/2 resonances to two-photon exchange effects in elastic electron-proton scattering
• Electroweak structure of the nucleon, meson cloud and light-cone wavefunctions
• Electromagnetic form factors of the nucleon in the chiral quark soliton model
• Generalized form factors, generalized parton distributions and the spin contents of the nucleon
• On the pion cloud of the nucleon
• Phenomenological analysis of the nucleon spin contents and their scale dependence
• On the Chiral Quark Soliton Model with Pauli-Villars Regularization
• Electro-Magnetic Nucleon Form Factors and their Spectral Functions in Soliton Models
• Strange vector form factors of the nucleon in the SU(3) chiral quark-soliton model with the proper kaonic cloud
• Scaling law for the electromagnetic form factors of the proton
• Neutron Electromagnetic Form Factors