On the Off-Mass-Shell Deformation of the Nucleon Structure Function

Abstract

The off-mass-shell behavior of the nucleon structure function, $F_2^N$, is studied within an approach motivated by the Sullivan model. Deep inelastic scattering on the nucleon is considered in the second order in the pion-nucleon coupling constant, corresponding to the dressing of the bare nucleons by the mesonic cloud. The inclusive and semi-inclusive deep inelastic processes on the deuteron involving off-shell nucleons are considered. A deformation of the mesonic cloud for the off-mass-shell nucleon, compared to the free one, generates observable effects in deep inelastic scattering. In particular, it leads to the breakdown of the convolution model, i.e. the deuteron structure functions are not expressed through the free nucleon structure function. Analysis of the semi-inclusive deep inelastic scattering on the deuteron, in the spectator approximation, shows that this reaction opens new possibilities to study the role of the off-shell effects in determining in detail the nucleon structure function.

18 pages, latex, 5 figures

References in corpus (5)

• Deep Inelastic Scattering from off-Shell Nucleons
• Shadowing, Binding and Off-Shell Effects in Nuclear Deep Inelastic Scattering
• Pion Structure Function in the Nambu and Jona-Lasinio model
• Shadowing in Deuterium
• Role of Vector Mesons in High-Q^2 Lepton-Nucleon Scattering

Cited by in corpus (8)

• On the dependence of the wave function of a bound nucleon on its momentum and the EMC effect
• Neutron structure function $F_2^n(x)$ from deep inelastic electron scattering off few-nucleon systems
• Semi-inclusive Deep Inelastic Electron Scattering off the Deuteron and the Neutron to Proton Structure Function Ratio
• Final state interaction effects in semi-inclusive DIS off the deuteron
• Deep inelastic scattering on the deuteron in the Bethe-Salpeter formalism II: Realistic $NN$-interaction
• Relativistic Calculation of Structure Functions b_{1,2}(X) of the Deuteron
• Chiral-Odd Structure Function h_1^D(x) and Tensor Charge of the Deuteron
• Hadronization and final state interaction effects in semi-exclusive Deep Inelastic Scattering off nuclei