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In this paper one presents a naive parametrization to $pp$ and $\bar{p}p$total cross sections. The main goal of this parametrization is to study thepossible fractal structure present in the total cross section. The result ofthe fitting procedure shows two different fractal dimensions: a negative(low-energies) and a positive (high-energies). The negative fractal dimensionrepresents the emptiness of the total cross section structure and the positiverepresents the filling up process with the energy increase. Hence, the totalcross section presents a multifractal behavior. At low-energies, the odderonexchange may be associated with the negative fractal dimension and athigh-energies, the pomeron may be associated with the positive fractaldimension. Therefore, the exchange of odderons and pomerons may be viewed as atransition from a less well-defined to a more well-defined internal structure,depending on the energy.

Odderon and Pomeron as Fractal Dimension in $pp$ and $\bar{p}p$ Total Cross Sections