Small-x F2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges

Small-x F2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges

24 Feb 1999 | Yuri V. Kovchegov
The paper by Yuri V. Kovchegov discusses the evolution of the small-x F2 structure function of a large nucleus, including multiple pomeron exchanges, in the leading logarithmic approximation using Mueller's dipole model. The author derives an equation that governs this evolution, which reduces to the GLR equation in the double leading logarithmic limit. The approach is based on deep inelastic scattering (DIS) of a virtual photon on a nucleus, where the QCD evolution is incorporated into the wave function of the virtual photon. The dipole wave function, which includes all multiple pomeron exchanges, is constructed in the large N_c limit, and the resulting equation is a non-linear integral equation. The paper also explores the double logarithmic limit of the equation, showing that it reduces to the GLR equation. However, it does not reproduce the equations derived by other authors for the double logarithmic evolution of the gluon distribution function. The author concludes by discussing the limitations of the large N_c approximation and the potential for fitting recent experimental data.The paper by Yuri V. Kovchegov discusses the evolution of the small-x F2 structure function of a large nucleus, including multiple pomeron exchanges, in the leading logarithmic approximation using Mueller's dipole model. The author derives an equation that governs this evolution, which reduces to the GLR equation in the double leading logarithmic limit. The approach is based on deep inelastic scattering (DIS) of a virtual photon on a nucleus, where the QCD evolution is incorporated into the wave function of the virtual photon. The dipole wave function, which includes all multiple pomeron exchanges, is constructed in the large N_c limit, and the resulting equation is a non-linear integral equation. The paper also explores the double logarithmic limit of the equation, showing that it reduces to the GLR equation. However, it does not reproduce the equations derived by other authors for the double logarithmic evolution of the gluon distribution function. The author concludes by discussing the limitations of the large N_c approximation and the potential for fitting recent experimental data.
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