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

P. Desgrolard; A. Lengyel; E. Martynov

doi:10.1088/1126-6708/2002/02/029

paper

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

arXiv:hep-ph/0110149 · doi:10.1088/1126-6708/2002/02/029

Abstract

The drastic rise of the proton structure function $F_{2} (x, Q^{2})$ when the Björken 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 $B_{x} = \partial ℓ n F_{2} (x, Q^{2}) / \partial ℓ n (1/ x)$ . The method of the overlapping bins is used to extract the derivatives $B_{x}$ and $B_{Q} = \partial ℓ n F_{2} (x, Q^{2}) / \partial Q^{2}$ from the data on $F_{2}$ for $6.0 \cdot 1 0^{- 5} \leq x \leq 0.61$ and $1.2 \leq Q^{2}$ (\g2) $\leq 5000$ . It is shown that the extracted derivatives are well described by recent Regge models with the Pomeron intercept equal one.

18 pages, LaTeX2e with cite.sty, 7 figures

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

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Pomeron effective intercept, logarithmic derivatives of F2​(x,Q2) in DIS and Regge models

Abstract

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