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Odderon and pomeron as fractal dimension in $p p$ $p p$ and $\bar{p} p$ $\bar{p} p$ total cross-sections

F. S. Borcsik

Departamento de Física, Química e Matemática, Universidade Federal de São Carlos, CEP 18052780, Sorocaba, SP, Brazil

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and

S. D. Campos

http://orcid.org/0000-0002-0238-9633

Departamento de Física, Química e Matemática, Universidade Federal de São Carlos, CEP 18052780, Sorocaba, SP, Brazil

E-mail Address: sergiodc@ufscar.br

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https://doi.org/10.1142/S0217732316500668Cited by:6 (Source: Crossref)

Abstract

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

Keywords:

PACS: 13.85.Dz, 13.85.Lg

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