English

Deep inelastic scattering and "elastic" diffraction

High Energy Physics - Phenomenology 2009-11-10 v1

Abstract

We examine the total cross section of virtual photons on protons, σγp(W2,Q2)\sigma_{\gamma^* p}(W^2,Q^2), at low xQ2/W21x \cong Q^2/W^2 \ll 1 and its connection with ``elastic'' diffractive production γT,LpXT,LJ=1p\gamma^*_{T,L}p \to X^{J=1}_{T,L} p in the two-gluon exchange dynamics for the virtual forward Compton scattering amplitude. Solely based on the generic structure of two-gluon exchange, we establish that the cross section is described by the (imaginary part of the) amplitude for forward scattering of qqˉq \bar q vector states, (qqˉ)T,LJ=1p(qqˉ)T,LJ=1p(q \bar q)^{J=1}_{T,L} p \to (q \bar q)^ {J=1}_{T,L} p. The generalized vector dominance/color dipole picture (GVD/CDP) is accordingly established to only rest on the two-gluon-exchange generic structure. This is explicitly seen by the sum rules that allow one to directly relate the total cross section to the cross section for elastic diffractive forward production, γT,Lp(qqˉ)T,LJ=1p\gamma^*_{T,L} p\to (q \bar q)^{J=1}_{T,L} p, of vector states.

Keywords

Cite

@article{arxiv.hep-ph/0301156,
  title  = {Deep inelastic scattering and "elastic" diffraction},
  author = {M. Kuroda and D. Schildknecht},
  journal= {arXiv preprint arXiv:hep-ph/0301156},
  year   = {2009}
}

Comments

24 pages, latex file with three eps figures. BI-TP 2002/21