Confinement and scaling in deep inelastic scattering

Abstract

We show that parton confinement in the final state generates large $1/Q^2$ corrections to Bjorken scaling, thus leaving less room for the logarithmic corrections. In particular, the $x$-scaling violations at large $x$ are entirely described in terms of power corrections. For treatment of these non-perturbative effects, we derive a new expansion in powers of $1/Q^2$ for the structure function that is free of infra-red singularities and which reduces corrections to the leading term. The leading term represents scattering from an off-mass-shell parton, which keeps the same virtual mass in the final state. It is found that this quasi-free term is a function of a new variable $\bar{x}$, which coincides with the Bjorken variable $x$ for $Q^2\to \infty$. The two variables are very different, however, at finite $Q^2$. In particular, the variable $\bar{x}$ depends on the invariant mass of the spectator particles. Analysis of the data at large $x$ shows excellent scaling in the variable $\bar{x}$, and determines the value of the diquark mass to be close to zero. $\bar{x}$-scaling allows us to extract the structure function near the elastic threshold. It is found to behave as $F_2\sim (1-x{)}^{3.7}$. Predictions for the structure functions based on $\bar{x}$-scaling are made.

Discussion of target mass corrections is added. Accepted for publication in Phys. Rev. D

References in corpus (3)

• Deep Inelastic Scattering from off-Shell Nucleons
• The response of non-relativistic confined systems
• Scaling limit of a non-relativistic model

Cited by in corpus (8)

• Quark-Hadron Duality in Structure Functions
• Inclusive Electron Scattering from Nuclei at $x\simeq 1$
• Quark-hadron duality in a relativistic, confining model
• Nuclear Effects In The F_3 Structure Function For Finite And Asymptotic Q^2
• Deep inelastic scattering and final state interaction in an exactly solvable relativistic model
• Relativistic approaches to structure functions of nuclei
• Modeling quark-hadron duality for relativistic, confined fermions
• Scaling approach to higher-twist corrections