Perturbative odderon in the dipole model

Sep, 2003
17 pages
Published in:
  • Phys.Lett.B 586 (2004) 267-281
e-Print:
Report number:
  • NT-UW-03-025,
  • INT-ACK-03-51

Citations per year

20042009201420192024024681012
Abstract:
We show that, in the framework of Mueller's dipole model, the perturbative QCD odderon is described by the dipole model equivalent of the BFKL equation with a CC-odd initial condition. The eigenfunctions and eigenvalues of the odderon solution are the same as for the dipole BFKL equation and are given by the functions En,νE^{n,\nu} and χ(n,ν)\chi (n,\nu) correspondingly, where the CC-odd initial condition allows only for odd values of nn. The leading high-energy odderon intercept is given by \alpha_{odd} - 1 = \frac{2 \as N_c}{\pi} \chi (n=1 ,\nu=0) = 0 in agreement with the solution found by Bartels, Lipatov and Vacca. We proceed by writing down an evolution equation for the odderon including the effects of parton saturation. We argue that saturation makes the odderon solution a decreasing function of energy.
Note:
  • Dedicated to the memory of Jan Kwiecinski
  • 1+16 pages, 6 figures, v2: more calculational details added Report-no: NT@UW-03-025, INT ACK 03-51
  • model: odderon
  • quantum chromodynamics: perturbation theory
  • color: dipole
  • integral equations: solution
  • electron p: deep inelastic scattering
  • electron nucleus: deep inelastic scattering
  • saturation
  • bibliography