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.

arXiv comment26 pages, 12 figures

References in corpus (33)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• QCD and a Holographic Model of Hadrons
• Hard Scattering and Gauge/String Duality
• Total cross sections
• Combined Measurement and QCD Analysis of the Inclusive ep Scattering Cross Sections at HERA
• The Pomeron and Gauge/String Duality
• Mesons in Gauge/Gravity Duals - A Review
• Deep Inelastic Scattering and Gauge/String Duality
• QCD and dimensional deconstruction
• Spinors and the AdS/CFT correspondence
• Pionic Parton Distributions Revisited
• Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Nucleon electromagnetic and gravitational form factors from holography
• Holography for fermions
• Diffractive Vector Meson Production at HERA: from Soft to Hard QCD
• Baryons in AdS/QCD
• Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model
• Deep inelastic scattering at strong coupling from gauge/string duality : the saturation line
• Leading neutron production in $e^{+}p$ collisions at HERA
• On The Pomeron at Large 't Hooft Coupling
• Measurement of Leading Neutron Production in Deep-Inelastic Scattering at HERA
• On the Eikonal Approximation in AdS Space
• Pion Form Factors in Holographic QCD
• String-Gauge Dual Description of Deep Inelastic Scattering at Small-$x$
• Gravitational Form Factors in the Axial Sector from an AdS/QCD Model
• Anomalous Form Factor of the Neutral Pion in Extended AdS/QCD Model with Chern-Simons Term
• Pion in the Holographic Model with 5D Yang-Mills Fields
• Glauber - Gribov approach for DIS on nuclei in N=4 SYM
• The color dipole BFKL-Regge expansion: from DIS on protons to pions to rise of hadronic cross sections
• How Well Does AdS/QCD Describe QCD?

Cited by in corpus (25)

• Extraction of gluon distributions from structure functions at small x in holographic QCD
• Elastic proton-proton scattering at LHC energies in holographic QCD
• Nucleon structure functions at small $x$ via the Pomeron exchange in AdS space with a soft infrared wall
• Photon structure functions at small $x$ in holographic QCD
• Deep inelastic scattering from polarized spin-$1/2$ hadrons at low $x$ from string theory
• Total hadronic cross sections at high energies in holographic QCD
• Elastic pion-proton and pion-pion scattering at high energies in holographic QCD
• Pomeron and Reggeon contributions to elastic proton-proton and proton-antiproton scattering in holographic QCD
• Scope and limitations of a string theory dual description of the proton structure
• 1/N corrections to $F_1$ and $F_2$ structure functions of vector mesons from holography
• The exponent of the longitudinal structure function $F_L$ at low $x$
• Momentum Fractions carried by quarks and gluons in models of proton structure functions at small $x$
• Spin-1/2 fermionic operators of $\mathcal{N}=4$ SYM theory and DIS from type IIB supergravity
• Nuclear Structure Functions at Low-$x$ in a Holographic Approach
• Elastic proton-neutron and antiproton-neutron scattering in holographic QCD
• Higher-twist fermionic operators and DIS structure functions from the AdS/CFT duality
• Elastic pion-proton and pion-pion scattering via the holographic Pomeron and Reggeon exchange
• Holographic description of elastic photon-proton and photon-photon scattering
• Holographic Approach to Deep Inelastic Scattering at Small-x at High Energy
• Interplay of Reggeon and photon in pA collisions
• Total Hadronic Cross Sections via the Holographic Pomeron Exchange
• 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
• 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