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Pomeron effective intercept, logarithmic derivatives ofF2(x,Q2) in DIS and Regge models.
Author(s) -
P. Desgrolard,
A. Lengyel,
Y. Martynov
Publication year - 2002
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2002/02/029
Subject(s) - physics , pomeron , particle physics , hera , type (biology) , logarithm , combinatorics , proton , hadron , nuclear physics , quantum chromodynamics , mathematics , mathematical analysis , ecology , biology
The drastic rise of the proton structure function $F_2(x,Q^2)$ when theBj\"orken variable $x$ decreases, seen at HERA for a large span of $Q^2$, maybe damped when $x\to 0$ and $Q^2$ increases beyond $\sim$ several hundreds \g2.This phenomenon observed in the Regge type models is discussed in terms of theeffective Pomeron intercept and of the derivative $B_x=\partial{\ell nF_2(x,Q^2)}/\partial{\ell n(1/x)}$. The method of the overlapping bins is usedto extract the derivatives $B_x$ and $B_Q=\partial{\ell nF_2(x,Q^2)}/\partial{Q^2}$ from the data on $F_2$ for $6.0\cdot 10^{-5}\le x\le0.61$ and $1.2 \le Q^2$ (\g2) $\le 5000$. It is shown that the extractedderivatives are well described by recent Regge models with the Pomeronintercept equal one.Comment: 18 pages, LaTeX2e with cite.sty, 7 figure

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