Deep Inelastic Structure ofe-pScattering and Relativistic Extended Particle Model Based on the Quark Model

Abstract

The structure functions for deep inelastic electron-proton (e-p) scattering are investigated in a quark model with the relativistic extended internal structure. Bjorken's conjecture for the structure functions, wl and Jl w2, can be reproduced under a certain condition for the total decay widths of resonances. The ratios of crdcrT and MWt!JJW2 are studied for the test of the current in our model. The level structure of resonances is also discussed. § I. Introduction Recently a large number of experiments 1 ) on electron proton (e-p) scattering have been carried out. Since in the electromagnetic processes of hadrons we can directly prove the structures of target hadrons, the electron-hadron scattering has particular interest for us in contrast with hadron-hadron scattering. Along this line of thought, we have investigated the elastic electron nucleon scattering; i.e. the electromagnetic form factors of nucleons and the quasi-elastic electron nucleon scattering (isobar production by electron) within the framework of the non­ relativistic quark modeP) and the relativistic extended particle model 3 ), 4 ) based on the quark model. In these models the nucleons and their isobars are described by composite particles composed of three constituents (quarks) and have a finite size of the internal space-time extension. We have also shown that the theoretical predictions are in good agreement with the experiments. In the present paper we investigate the deep inelastic e-p scattering within the framework of our model 4 ) with some modifications for final hadronic state. In the deep inelastic e-p scattering (in contrast with the single isobar pro­ duction by electron) the final hadronic state is a massive system, and only the mass of the system is observed in the experiments. Hence in our model it is natural to describe such a final state as an aggregate of large number of highly excited states, like the radially excited states of composite system of three quarks. We visualize the deep inelastic e-p scattering as follows: the target proton is excited by high energy virtual photon to form various resonances which are highly degenerate, and then each resonance decays to a system of many mesons and baryon. The above picture seems to be consistent with the dual resonance modeP)