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Joint Institute for Nuclear Research Relativistic ... - Index of - JINR

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SMALL x BEHAVIOR OF PARTON DENSITIES<br />

A.V. Kotikov 1†<br />

(1) Laboratory <strong>of</strong> Theoretical Physics, <strong>Joint</strong> <strong>Institute</strong> <strong>for</strong> <strong>Nuclear</strong> <strong>Research</strong>, Russia<br />

† E-mail: kotikov@theor.jinr.ru<br />

It is shown that a Bessel-like behavior <strong>of</strong> the structure function F 2 at small x, obtained<br />

<strong>for</strong> a flat initial condition in the DGLAP evolution equations [1, 2], leads to good<br />

agreement with the deep inelastic scattering experimental data [3] from HERA.<br />

Some disagreement at Q 2 ∼ 1 Gev 2 can be explained by the importance <strong>of</strong> the BFKL<br />

contribution [4] in this area.<br />

Figure 4: x dependence <strong>of</strong> the deep inelastic structure function F 2 (x,Q 2 ) in bins <strong>of</strong> Q 2 [2].<br />

The experimental data from H1 (open points) and ZEUS (solid points) [3] are compared<br />

with the NLO fits <strong>for</strong> Q 2 ≥ 0.5 GeV 2 implemented with the canonical (solid lines), frozen<br />

(dot-dashed lines), and analytic (dashed lines) versions <strong>of</strong> the strong-coupling constant.<br />

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