[hep-ph/0110149] Pomeron effective intercept, logarithmic derivatives of $F_{2}(x,Q^{2})$ in DIS and Regge models

High Energy Physics - Phenomenology, abstract
hep-ph/0110149



From: "Evgenij Martynov" <martynov@bitp.kiev.ua>



Date ( v1 ): Thu, 11 Oct 2001 09:59:00 GMT (157kb)
Date (revised v2): Thu, 11 Oct 2001 20:23:05 GMT (156kb)

Pomeron effective intercept, logarithmic derivatives of $F_{2}(x,Q^{2})$ in DIS and Regge models

Authors: P. Desgrolard , A. Lengyel , E. Martynov
Comments: 18 pages, LaTeX2e with cite.sty, 7 figures
Journal-ref: JHEP 0202 (2002) 029
The drastic rise of the proton structure function $F_2(x,Q^2)$ when the Bj\"orken variable $x$ decreases, seen at HERA for a large span of $Q^2$, may be 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 the effective Pomeron intercept and of the derivative $B_x=\partial{\ell n F_2(x,Q^2)}/\partial{\ell n(1/x)}$. The method of the overlapping bins is used to extract the derivatives $B_x$ and $B_Q=\partial{\ell n F_2(x,Q^2)}/\partial{Q^2}$ from the data on $F_2$ for $6.0\cdot 10^{-5}\le x\le 0.61$ and $1.2 \le Q^2$ (\g2) $\le 5000$. It is shown that the extracted derivatives are well described by recent Regge models with the Pomeron intercept equal one.

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