Self-similar properties of the proton structure at low x

Abstract.

Self-similar properties of proton structure in the kinematic region of low values of the Bjorken variable x are introduced and studied numerically. A description of the proton structure function $F_{2}(x,Q^2)$ reflecting self-similarity is proposed with a few parameters which are fitted to recent HERA data. The specific parametrisation provides an excellent description of the data which cover the region of four momentum transfer squared $0.045 \le Q^2 \le 120 \GeV^2$, and of the Bjorken variable $x 6.2 \cdot 10^{-7} \le x \le 0.01$.