Some predictions of the Dashen-Gell-Mann program concerning the asymptotic behavior of form factors and the threshold behavior of the scaling functionsνW2. I. General considerations and the case of mesons

Abstract

It is shown, within a specific model, that the quark-model representations of current algebra at infinite momentum can be reconciled with the relativity requirement in the restricted kinematical domain of large momentum transfers (in the configuration space this corresponds to the values of the particle wave function in the neighborhood of the origin). We conjecture that this feature holds true in general and then make a number of specific predictions concerning the asymptotic behavior of the form factors and the threshold behavior of the scaling functions v W,. The mesons are treated as usual, namely as quark-antiquark pairs, .while for baryons it is assumed that two of the three quarks are glued together (diquark), leaving only one space-time coordinate free. In this way the dynamically complicated issue of three bodies is reduced to a more manageable case of two bodies.

Generalized form factors of the nucleon in a light-cone spectator-diquark model

“…Then the quarkdiquark model was introduced by Ida et al [12] and Lichtenberg et al [13,14] to describe a baryon as a two-body system of a quark and a diquark. In this model, many baryonic properties were calculated, such as the baryon spectra [15][16][17][18], magnetic moments [19,20], neutron charge radius [21][22][23], baryon decays [16,17,[24][25][26][27][28] and structure functions [29][30][31][32][33][34][35][36]. However, the original quark-diquark model is not a fully relativistic model, and the physical picture of the diquark as a two-quark tightly bound state is unnatural.…”