On the physics behind the form factor ratio $μ_p G_E^p (Q^2) / G_M^p (Q^2)$
Abstract
Description
We point out that there exist two natural definitions of the nucleon magnetization densities : the density $ρ_M^K (r)$ introduced in Kelly's phenomenological analysis and theoretically more standard one $ρ_M (r)$. 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 $ρ_M (r)$ and $ρ_M^K (r)$ as well as the charge density $ρ_{ch}(r)$ of the proton within the framework of the chiral quark soliton model, to find a noticeable qualitative difference between $ρ_{ch}(r)$ and $ρ_M^K (r)$, 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
12 pages, 5 figures. version to appear in J. Phys. G.: Nucl. Part. Phys