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 (5)

• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Two-Photon Physics in Hadronic Processes
• 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
• Phenomenological analysis of the nucleon spin contents and their scale dependence