scholarly journals NUCLEAR SHADOWING IN INCLUSIVE AND TAGGED DEUTERON STRUCTURE FUNCTIONS AND EXTRACTION OF $F_2^p-F_2^n$ AT SMALL x FROM ELECTRON–DEUTERON COLLIDER DATA

2006 ◽  
Vol 21 (01) ◽  
pp. 23-40 ◽  
Author(s):  
L. FRANKFURT ◽  
V. GUZEY ◽  
M. STRIKMAN
Keyword(s):  
Structure Function ◽  
Structure Functions ◽  
Final State ◽  
Neutron Structure ◽  
The Future ◽  
Final State Interactions ◽  
Small X

We review predictions of the theory of leading twist nuclear shadowing for inclusive unpolarized and polarized deuteron structure functions [Formula: see text], [Formula: see text] and [Formula: see text] and for the tagged deuteron structure function [Formula: see text]. We analyze the possibility to extract the neutron structure function [Formula: see text] from electron–deuteron data and demonstrate that an account of leading twist nuclear shadowing leads to large corrections for the extraction of [Formula: see text] from the future deuteron collider data both in the inclusive and in the tagged structure function modes. We suggest several strategies to address the extraction of [Formula: see text] and to measure at the same time the effect of nuclear shadowing via the measurement of the distortion of the proton spectator spectrum in the semi-inclusive eD → e′NX process. We address the issue of the final state interactions in the eD → e′NX process and examine how they affect the extraction of [Formula: see text].

EVOLUTION OF UNDERSTANDING POLARIZED DIS: FROM LARGE TO SMALL x

2009 ◽  
Vol 24 (35n37) ◽  
pp. 2924-2930
Author(s):  
B. I. ERMOLAEV ◽  
M. GRECO ◽  
S. I. TROYAN
Keyword(s):  
Structure Function ◽  
Spin Structure ◽  
Evolution Equations ◽  
Structure Functions ◽  
Theoretical Description ◽  
Dglap Evolution ◽  
Spin Structure Function ◽  
Logarithmic Approximation ◽  
Small X

The standard theoretical description of Polarized DIS is based on the use of the DGLAP evolution equations. This approach controls the Q2 -evolution of the DIS structure functions but cannot describe the x -evolution and therefore should not be used at small x. We complement this approach, accounting for the x-evolution of the spin structure function g1 in the leading logarithmic approximation.

scholarly journals A phenomenological solution small x to the longitudinal structure function dynamical behavior

2014 ◽  
Vol 29 (32) ◽  
pp. 1450189 ◽  
Author(s):  
G. R. Boroun ◽  
B. Rezaei ◽  
J. K. Sarma
Keyword(s):  
Structure Function ◽  
Dynamical Behavior ◽  
Structure Functions ◽  
Proton Structure Function ◽  
Leading Order ◽  
Longitudinal Structure ◽  
Proton Structure ◽  
Longitudinal Structure Function ◽  
Color Dipole ◽  
Small X

In this paper, the evolutions of longitudinal proton structure function have been obtained at small x up to next-to-next-to-leading order using a hard Pomeron behavior. In our paper, evolutions of gluonic as well as heavy longitudinal structure functions have been obtained separately and the total contributions have been calculated. The total longitudinal structure functions have been compared with results of Donnachie–Landshoff (DL) model, Color Dipole (CD) model, kT factorization and H1 data.

SPIN-DEPENDENT STRUCTURE FUNCTION OF 3He and 3H

2011 ◽  
Vol 26 (03n04) ◽  
pp. 625-626 ◽  
Author(s):  
F. ARBABIFAR ◽  
ALI N. KHORRAMIAN ◽  
S. TAHERI MONFARED ◽  
S. ATASHBAR TEHRANI
Keyword(s):  
Inelastic Scattering ◽  
Structure Function ◽  
Deep Inelastic Scattering ◽  
Jacobi Polynomials ◽  
Structure Functions ◽  
Neutron Structure ◽  
Qcd Analysis ◽  
Polarized Deep Inelastic Scattering

We present the results of our QCD analysis for quark distributions and structure functions for polarized deep inelastic scattering of leptons on nucleons and nuclei using the Jacobi polynomials up to NLO approximation. Finally by having proton and also neutron structure functions, we have enough motivation to extract 3 He and 3 H polarized structure functions.

scholarly journals ON THE SINGULAR BEHAVIOR OF STRUCTURE FUNCTIONS AT LOW x

1994 ◽  
Vol 09 (36) ◽  
pp. 3393-3402 ◽  
Author(s):  
H. NAVELET ◽  
R. PESCHANSKI ◽  
S. WALLON
Keyword(s):  
Structure Function ◽  
Evolution Equations ◽  
Structure Functions ◽  
Saddle Point Method ◽  
Proton Structure Function ◽  
Singular Behavior ◽  
Proton Structure ◽  
Small X ◽  
Model Independent ◽  
Low X

We discuss the phenomenological extraction of the leading j-plane singularity from singlet structure functions Fs estimated at small x. Using a saddle point method we show that [Formula: see text] is a suitable observable for this purpose in the region x≤10−2. As an application, we confront and distinguish in a model-independent way structure function parametrizations coming from two different QCD evolution equations, namely the Lipatov (or BFKL) equation and the Gribov-Lipatov-Altarelli-Parisi (or GLAP) equation. Recent results on the proton structure function F2 at HERA are discussed in this framework.

scholarly journals Rise of the DIS structure function FL at small x caused by double-logarithmic corrections

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
B. I. Ermolaev ◽  
S. I. Troyan
Keyword(s):  
Structure Function ◽  
Present Calculation ◽  
Synergic Effect ◽  
Logarithmic Approximation ◽  
Logarithmic Corrections ◽  
Small X

Abstract We present calculation of FL in the double-logarithmic approximation (DLA) and demonstrate that the synergic effect of the factor 1/x from the $$ {\alpha}_s^2 $$ α s 2 -order and the steep x-dependence of the totally resummed double logarithmic contributions of higher orders ensures the power-like rise of FL at small x and arbitrary Q2.

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