The Proton's Quark Density

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Experimental measurements show that the proton's electric form factor equals its magnetic form factor [1]. This equality indicates that both form factors represent quarks' form factor. Thus, an appropriate Fourier transform proves that the radial dependence of the proton's quark density decreases exponentially [1]. This density formula is the same as that of the electron in the hydrogen atom, where the state is determined by a Coulomb attraction. This result is compatible with the hadronic structure based on the regular charge-monopole theory. Indeed, according to this theory, quarks, that carry a monopole unit are attracted to the baryonic core by a Coloumb-like force. On the other hand, the exponential decrease of quark density is inconsistent with QCD's "Asymptotic Freedom" where the attractive force tends to zero for a quark-quark vanishing distance.

References:

[1] D. H. Perkins, Introduction to High Energy Physics (Addison-Wesley, Menlo Park,1987). pp. 194-197.