The odderon in high energy elastic pp scattering

We discuss the definition and the energy evolution of scattering amplitudes with Codd ("odderon") quantum numbers within the effective theory for the Color Glass Condensate (CGC) endowed with the functional, JIMWLK, evolution equation. We explicitly construct gauge-invariant amplitudes describing multiple odderon exchanges in the scattering between the CGC and two types of projectiles: a colorsinglet quark-antiquark pair (or 'color dipole') and a system of three quarks in a colorless state. We deduce the energy evolution of these amplitudes from the general JIMWLK equation, which for this purpose is recast in a more synthetic form, which is manifestly infrared finite. For the dipole odderon, we confirm and extend the non-linear evolution equations recently proposed by Kovchegov, Szymanowski and Wallon, which couple the evolution of the odderon to that of the pomeron, and predict the rapid suppression of the odderon exchanges in the saturation regime at high energy. For the 3-quark system, we focus on the linear regime at relatively low energy, where our general equations are shown to reduce to the Bartels-KwiecinskiPraszalowicz equation. Our gauge-invariant amplitudes, and the associated evolution equations, stay explicitly outside the Möbius representation, which is the Hilbert space where the BFKL Hamiltonian exhibits holomorphic separability.

show abstract

“…In the case where the projectile is a proton, the odderon impact factor is expected in the form (see, e.g., [48])…”

Section: Relation To the Bkp Equationmentioning

confidence: 99%

Odderon in the color glass condensate

et al. 2005

View full text Add to dashboard Cite

show abstract

“…where we have used (50) to express it in terms of F (3;0) . We have also reversed the order of the color indices so that the gluons that are attached to the quark line are written in ascending order.…”

Section: Generalization To An Arbitrary Number Of Gluonsmentioning

confidence: 99%

The C-odd four-gluon state in the color glass condensate

Braunewell

Ewerz

2005

Nuclear Physics A

View full text Add to dashboard Cite

The study of the perturbative Odderon at high gluon densities in the color glass condensate requires to take into account states with more than three gluons. We formulate evolution equations for these states in which the number of gluons is not fixed during the evolution. We further determine the coupling of these Odderon states to the γ → η c impact factor for arbitrary numbers of gluons. We find an exact solution of the evolution equation for the four-gluon Odderon state in terms of the three-gluon Odderon state. It is shown that a similar solution exists also for a different class of Odderon solutions which does not couple to the γ → η c impact factor. We discuss the implications of our result from the perspective of constructing an effective field theory of reggeized gluons for the color glass condensate.1

show abstract

“…Recent data on the differential elastic pp scattering show that one needs the Odderon to describe the cross sections in the dip region [13]. On the other hand, the perturbative QCD prediction in the Born approximation for the cross section of diffractive photoproduction of η c −meson is rather small [14].…”

Section: Introductionmentioning

confidence: 99%

Perturbative odderon in the dipole model

2004

View full text Add to dashboard Cite

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 Codd 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 E n,ν and χ(n, ν) correspondingly, where the C-odd initial condition allows only for odd values of n. The leading high-energy odderon intercept is given by α odd − 1 = 2 αs Nc π χ(n = 1, ν = 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.

show abstract

The odderon in high energy elastic pp scattering

Cited by 44 publications

References 55 publications

Odderon in the color glass condensate

Odderon in the color glass condensate

The C-odd four-gluon state in the color glass condensate

Perturbative odderon in the dipole model

Contact Info

Product

Resources

About