Asymmetric gluon distributions and hard diffractive electroproduction

Journal Article · Wed May 01 04:00:00 EDT 1996 · Phys.Lett. B385 (1996) 333-342

DOI:https://doi.org/10.1016/0370-2693(96)00844-1· OSTI ID:756645

Radyushkin, A

Due to the momentum transfer r{equivalent_to} p{minus}p{prime} from the initial proton to the final, the asymmetric matrix element {l_angle}p{prime}{vert_bar}G...G{vert_bar}p{r_angle} that appears in the pQCD description of hard diffractive electroproduction does not coincide with that defining the gluon distribution function f{sub g}(x). The author outlines a pQCD formalism based on a concept of the double distribution F{sub g}(x,y), which specifies the fractions xp, yr, (1{minus}y)r of the initial proton momentum p and the momentum transfer r, resp., carried by the gluons. He discusses the one-loop evolution equation for the double distribution F{sub g}(x,y,{mu}) and obtains the solution of tis equation in simplified situation when the quark-gluon mixing effects are neglected. For r{sup 2}=0, the momentum transfer r is proportional to p: r = {zeta}p, and it is convenient to parameterize the matrix element {l_angle}p{minus}r{vert_bar}G...G{vert_bar}p{r_angle} by an asymmetric distribution function F{sub {zeta}}{sup g}(X) depending on the total fractions X {equivalent_to} x+y{zeta} and X{minus}{zeta} = x{minus}(1{minus}y){zeta} of the initial hadron momentum p carried by the gluons. He formulates evolution equations for F{sub {zeta}}{sup g}(X), studies some of their general properties and discusses the relationship between F{sub {zeta}}{sup g}(X), F{sub g}(x,y) and f{sub g}(x).

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 756645
• Report Number(s): DOE/ER/40150-1598; CEBAF-TH-96-06; hep-ph/9605431
• Journal Information: Phys.Lett. B385 (1996) 333-342, Journal Name: Phys.Lett. B385 (1996) 333-342
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMMETRY
DISTRIBUTION FUNCTIONS
ELECTROPRODUCTION
GLUONS
MATRIX ELEMENTS
MOMENTUM TRANSFER
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS