The Tsallis entropy and the BKT-like phase transition in the impact parameter space for <i>pp</i> and $\bar{p}p$ collisions

Campos, S. D.; Okorokov, V.; Moraes, Carlos

doi:10.1088/1402-4896/ab429e

Cited by 9 publications

(44 citation statements)

References 97 publications

(266 reference statements)

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“…The energy cut √ s c , corresponds to the energy for which the total cross section achieves its minimum value [30].…”

Section: Experimental Data and Fitting Proceduresmentioning

confidence: 99%

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Logarithmic Regge Pole

Campos¹

2020

Preprint

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This work presents the subtraction procedure and the Regge cut in the logarithmic Regge pole approach. The subtraction mechanism leads to the same asymptotic behavior as previously obtained in the non-subtraction case. The Regge cut, on the other hand, introduces a clear role to the nonleading contributions for the asymptotic behavior of the total cross section. From these results, one introduces some simple parameterization to fit the experimental data for the proton-proton and antiproton-proton total cross section above some minimum value up to the cosmic-ray. The fit parameters obtained are used to present predictions to the ρ(s)-parameter as well as to the elastic slope B(s) at high energies.

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“…The energy cut √ s c , corresponds to the energy for which the total cross section achieves its minimum value [30].…”

Section: Experimental Data and Fitting Proceduresmentioning

confidence: 99%

“…Then, in the simplest case, discA(s, t) ∝ P αc(t) (z). (30) In this picture, one uses the properties of the Legendre functions [33] ∞…”

Section: The Cut Casementioning

confidence: 99%

Logarithmic Regge Pole

Campos¹

2020

Preprint

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“…The Tsallis statistic may depend on several physical constraints as, for example, the long-range interaction among the cells. The continuous form of the TE is written as [3]…”

Section: The Tsallis and The Boltzmann-gibbs Entropies: A Short Reviewmentioning

confidence: 99%

“…Furthermore, the existence of the confinement phase is related to the growth of α s (Q 2 ) at small Q 2 (large distances). On the other hand, in a recent paper [3], one introduces the entropic-index as the ratio…”

Section: A the Damped Confinement Potentialmentioning

confidence: 99%

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The Effects of the Tsallis Entropy in the Proton Internal Pressure

Campos,

Amarante

2020

Preprint

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In this paper, one discusses the effects of the Tsallis entropy on the radial pressure distribution in the proton. Using a damped confinement potential the pressure distribution is obtained from the Tsallis entropy approach, being the entropic-index ω connected with the proton temperature concerning some transition temperature. Then, the approach allows the study of the proton thermal evolution up to the Quark-Gluon Plasma regime. The von Laue stability condition, arising from the pressure distribution results in positive and negative energy regions. An analogy between the results for the radial pressure distribution and the proton-proton and the antiproton-proton total cross section is performed. The negative energy region is identified with the odderon exchange while the positive represents the pomeron exchange dominance above some transition energy √ sc. The hollowness effect is also discussed in terms of the results obtained and the proposed analogy.

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An approach to the leading Regge pole

Campos¹

2020

Phys. Scr.

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Neglecting spin effects, one introduces here a subtle approximation for the scattering angle, which allows the obtaining of a logarithmic leading Regge pole, consistent with the Froissart-Martin bound. A simple parameterization is also introduced for the proton-proton total cross section. Fitting procedures are implemented only for the highest energy experimental data available. The intercept for a linear approach is obtained, indicating the presence of a soft pomeron. The Tsallis entropy in the impact parameter space is calculated using the Regge pole formalism. This entropy depends on a free parameter, whose value implies the existence of a central or non-central maximum value for the entropy. The hollowness effect is discussed in terms of this parameter. * Electronic address: sergiodc@ufscar.br

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The Tsallis entropy and the BKT-like phase transition in the impact parameter space for pp and $\bar{p}p$ collisions

Cited by 9 publications

References 97 publications

Logarithmic Regge Pole

Logarithmic Regge Pole

The Effects of the Tsallis Entropy in the Proton Internal Pressure

An approach to the leading Regge pole

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