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Diffractive deep inelastic scattering in an AdS/CFT inspired model: A phenomenological study

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 Added by Victor Goncalves
 Publication date 2010
  fields
and research's language is English




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The analytical treatment of the nonperturbative QCD dynamics is one of main open questions of the strong interactions. Currently, it is only possible to get some qualitative information about this regime considering other QCD-like theories, as for example the N=4 super Yang-Mills (SYM), where one can perform calculations in the nonperturbative limit of large t Hooft coupling using the Anti-de Sitter space/Conformal field theory (AdS/CFT). Recently, the high energy scattering amplitude was calculated in the AdS/CFT approach, applied to deep inelastic scattering (DIS) and confronted with the $F_2$ HERA data. In this work we extend the nonperturbative AdS/CFT inspired model for diffractive processes and compare its predictions with a perturbative approach based on the Balitsky - Kovchegov (BK) equation. We demonstrate that the AdS/CFT inspired model is not able to describe the current $F_2^{D(3)}$ HERA data and predicts a similar behavior to that from BK equation in the range $10^{-7} lesssim x_{IP} lesssim 10^{-4}$. At smaller values of $x_{IP}$ the diffractive structure function is predicted to be energy independent.



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149 - S. Tapprogge 1996
New results on diffractive deep-inelastic $e p$ scattering at HERA are presented using data taken in 1994 with the H1 detector. The cross section for diffractive deep-inelastic scattering is measured in terms of a diffractive structure function $F_2^{D(3)}(beta,Q^2,xpom)$ over an extended kinematic range. The dependence of $F_2^{D(3)}$ on $xpom$ is found not to depend on $Q^2$, but to depend on $beta$. Therefore the $xpom$ dependence no longer factorizes. The $Q^2$ and $beta$ dependence of $F_2^{D(3)}$ is analyzed after an integration over the dependence on $xpom$. For fixed $beta$ a clear rise with $log Q^2$ is observed, persisting up to high values of $beta$. In terms of the Altarelli-Parisi (DGLAP) QCD evolution equations, these scaling violations give clear indications for a gluon dominated process. Subsequently an attempt is made to quantify the parton content of the diffractive exchange using the DGLAP evolution. At the starting scale a ``leading gluon distribution is found which contributes about $80 %$ of the momentum in the diffractive exchange. Measurements of the hadronic final state (energy flow and production of $D^{*}$ mesons) are found to be consistent with the predictions of a model of deep-inelastic electron pomeron scattering using the information on the parton content obtained.
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