Asymmetric gluon distributions and hard diffractive electroproduction

Radyushkin, A.V.

doi:10.1016/0370-2693(96)00844-1

Asymmetric gluon distributions and hard diffractive electroproduction

A.V. Radyushkin
(
- Old Dominion U. and
- Jefferson Lab
)

May, 1996

11 pages

Published in:

Phys.Lett.B 385 (1996) 333-342

e-Print:

hep-ph/9605431 [hep-ph]

DOI:

10.1016/0370-2693(96)00844-1

Report number:

CEBAF-TH-96-06

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Abstract:

The ``asymmetric'' matrix element

\langle p-r | G \ldots G |p \rangle

that appears in the pQCD description of hard diffractive electroproduction does not coincide with that defining the gluon distribution function

f_g(x)

. I outline a pQCD formalism based on a concept of the double distribution

F_g(x,y)

, which specifies the fractions

xp

,

yr

,

(1-y)r

of the initial proton momentum

p

and the momentum transfer

r

,

resp.,

carried by the gluons. For

t \equiv r~2 =0

,

r

is proportional to

p

:

r = \zeta p

, and it is convenient to parameterize the matrix element

\langle p-r | G \ldots G |p \rangle

by an asymmetric distribution function

{\cal F}_{\zeta}~g (X)

depending on the total fractions

X \equiv x+y \zeta

and

X-\zeta = x- (1-y) \zeta

of the initial hadron momentum

p

carried by the gluons.I formulate evolution equations for

{\cal F}_{\zeta}~g (X)

, study some of their general properties and discuss the relationship between

{\cal F}_{\zeta}~g (X)

,

F_g(x,y)

and

f_g(x)

.

Note:

Definition of asymmetric gluon distribution is corrected to conform with the reduction formulas

electron p: exclusive reaction
exchange: one-photon
one-photon: exchange
photon p: exclusive reaction
hard scattering
diffraction
vector meson: electroproduction
electroproduction: vector meson
quantum chromodynamics: perturbation theory
gluon: momentum spectrum

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