An evaluation of the proton structure functions F2 and F at small x

The spin fractions and deep inelastic lepton structure functions of the proton are analyzed based on chiral field theory invloving Goldstone bosons. A detailed comparison with several recent chiral models sheds light on their successful description of the spin fractions of the proton as being due to neglecting quark masses. Initial quark valence distributions at a higher scale than Λ QCD are constructed using quark counting constraints at large Bjorken x→1 and Regge behavior at small x. Reasonable strange quark distributions are then predicted by chiral field theory. The spin fractions also agree with the data.

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

International Journal of Modern Physics A ◽

10.1142/s0217751x14501899 ◽

2014 ◽

Vol 29 (32) ◽

pp. 1450189 ◽

Cited By ~ 4

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.

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ON THE SINGULAR BEHAVIOR OF STRUCTURE FUNCTIONS AT LOW x

Modern Physics Letters A ◽

10.1142/s0217732394003221 ◽

1994 ◽

Vol 09 (36) ◽

pp. 3393-3402 ◽

Cited By ~ 6

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.

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