Transition from soft- to hard-Pomeron in the structure functions of hadrons at small-$x$ from holography

Abstract

We study the nucleon and pion structure functions at small Bjorken-$x$ region in the framework of holographic QCD with a special emphasis on the roles of AdS space wave functions. Using the BPST kernel for the Pomeron exchange and calculating its coupling to target hadrons in the AdS space, we obtain $F_2$ structure functions at the small-$x$. Results for the proton $F_2^p$ as well as the pion $F_2^{\pi }$ are consistent with experimental data of the deep inelastic scattering and the forward electroproduction of a neutron. Observed $Q^2$ dependence of the Pomeron intercept is well reproduced from soft non-perturbatibve $(Q^2\sim 0)$ to hard perturbative $(Q^2\gg 1Ge{V}^2)$ region. We find the interplay between soft and hard Pomerons is closely related with behavior of AdS wave functions of hadrons and the virtual photon.

26 pages, 12 figures

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Cited by in corpus (9)

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• Scope and limitations of a string theory dual description of the proton structure
• Spin-1/2 fermionic operators of $\mathcal{N}=4$ SYM theory and DIS from type IIB supergravity
• Elastic pion-proton and pion-pion scattering via the holographic Pomeron and Reggeon exchange
• Elastic proton-neutron and antiproton-neutron scattering in holographic QCD
• Holographic description of elastic photon-proton and photon-photon scattering
• Differential and total cross sections of high energy proton-proton scattering in holographic QCD
• Hadronic structure of the photon at small x in holographic QCD