Nucleon structure functions at small $x$ via the Pomeron exchange in AdS space with a soft infrared wall

Abstract

We present analyses on nucleon structure functions at the small Bjorken-$x$ in the framework of holographic QCD. In this study, we improve the description of the target nucleon in the current setup of the holographic model by introducing a soft-wall AdS/QCD model, in which the AdS geometry is smoothly cut off at IR. Combining the improved Pomeron-nucleon coupling and the wave function of the 5D U(1) vector field with the BPST Pomeron exchange kernel, then we obtain the structure functions. Here we focus on the nonperturbative kinematical region, where $10^{-6}\le x\le 10^{-2}$ and $0.1\le Q^2\le 10$ [GeV${}^2$], and show that our calculations for $F_2^p$ and $F_L^p$ are consistent with experimental data of the deep inelastic scattering at HERA. Furthermore, we find that the resulting longitudinal-to-transverse ratio of the structure functions, $F_L^p/F_T^p$, depends on both of $x$ and $Q^2$.

8 pages, 7 figures; v2: version accepted for publication in Phys. Rev. D, one reference added, minor modifications made throughout the text

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• Momentum Fractions carried by quarks and gluons in models of proton structure functions at small $x$
• Elastic proton-neutron and antiproton-neutron scattering in holographic QCD
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• Holographic Approach to Deep Inelastic Scattering at Small-x at High Energy
• Differential and total cross sections of high energy proton-proton scattering in holographic QCD
• Total Hadronic Cross Sections via the Holographic Pomeron Exchange
• Hadronic structure of the photon at small x in holographic QCD
• DIS at small x and hadron-hadron scattering at high energies via the holographic Pomeron exchange
• Nucleon structure functions at small $x$ via holographic Pomeron exchange