Logarithmic Regge pole

Campos, S. D.

doi:10.1088/1674-1137/ababf8

Cited by 5 publications

(12 citation statements)

References 39 publications

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“…For the results expressed by (ii), on the other hand, one has that ∆ tot (s) does not obey the Pomeranchuk theorem, unless c p = c p . The last results given by (iii) seems to be reasonable under the lights of the experimental data, representing a Pomeron intercept α P = 1 [8].…”

Section: Asymptotic Behavior Of Total Cross Section and ρ-Parametersupporting

confidence: 68%

“…where f ± (s, 0) ≡ f ± (s), and k is the subtraction constant. Without loss of generality, one adopts k = 0 since the influence of such parameter is restricted to the low energy domain [8]. Notice the addition of high-order derivative terms in equations (2) may turn this representation more sensitive to describe high-energy experimental data.…”

Section: Asymptotic Behavior Of Total Cross Section and ρ-Parametermentioning

confidence: 99%

“…The general belief about this result imposes the need for a particle exchange as responsible for the vanishing difference as the collision energy grows. This particle is called the leading Regge pole [8], or Pomeron for short, and it does not differentiate particle from antiparticle since it possesses the vacuum quantum numbers. The usual picture where the Pomeron is viewed as a pair of gluons is due to Low and Nussinov [9,10].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optical Theorem, Crossing Property and Derivative Dispersion Relations: Implications on the Asymptotic Behavior of $σ_{tot}(s)$ and $ρ(s)$

Campos,

Okorokov

2022

Preprint

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In this paper, one presents some results concerning the behavior of the total cross section and ρ-parameter at asymptotic energies in proton-proton (pp) and antiproton-proton (pp) collisions. For this intent, we consider three of the main theoretical results in high energy physics: the crossing property, the derivative dispersion relation, and the optical theorem. The use of such machinery allows the analytic formulas for wide set of the measured global scattering parameters and some important relations between them. The suggested parameterizations approximate simultaneously the energy dependence for total cross section and ρ-parameter for pp and pp with statistically acceptable quality in multi-TeV region. Also the qualitative description is obtained for important interrelations, namely difference, sum and ratio of the antiparticle-particle and particle-particle total cross sections. Despite the reduced number of experimental data for the total cross section and ρ-parameter in TeV-scale, which turns any prediction for the beginning of the asymptotic domain a hard task, the fitting procedures indicates that asymptotia lies in the energy range 25.5-130 TeV. Moreover, in the asymptotic regime, one obtains α P = 1. Detailed quantitative study of energy behavior of measured scattering parameters and their combinations in ultra-high energy domain indicates that the scenario with the generalized formulation of the Pomeranchuk theorem is more favorable with respect of the original formulation of this theorem.

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Section: Asymptotic Behavior Of Total Cross Section and ρ-Parametersupporting

confidence: 68%

Section: Asymptotic Behavior Of Total Cross Section and ρ-Parametermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optical Theorem, Crossing Property and Derivative Dispersion Relations: Implications on the Asymptotic Behavior of $σ_{tot}(s)$ and $ρ(s)$

Campos,

Okorokov

2022

Preprint

Self Cite

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“…Recently, a novel theoretical approach for the leading Regge pole was introduced [65,66]. In that approach, the leading Regge pole can be represented by the logarithmic of the collision energy, which means this representation agrees with the Froissart-Martin bound.…”

Section: Total Cross Sectionmentioning

confidence: 91%

The Debye length and the running coupling of QCD: A potential and phenomenological approach

Campos

2021

Int. J. Mod. Phys. A

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In this paper, one uses a damped potential to present a description of the running coupling constant of QCD in the confinement phase. Based on a phenomenological perspective for the Debye screening length, one compares the running coupling obtained here with both the Brodsky–de Téramond–Deur and the Richardson approaches. The results seem to indicate the model introduced here corroborate the Richardson approach. Moreover, the Debye screening mass in the confinement phase depends on a small parameter, which tends to vanish in the nonconfinement phase of QCD.

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“…Now, one needs the input for the total cross section. In the intermediate energy range, one can use the following simple parameterization for the total cross section [27] σ tot (s) = a 1 (s/s 0 ) a2 + a 3 ln α P (0) (s/s 0 ),…”

Section: Total Cross Sectionmentioning

confidence: 99%

Chiral Symmetry Restoration using the Running Coupling Constant from the Light-Front Approach to QCD

Campos¹

2021

Preprint

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In this work, the distance between a quark-antiquark pair inside the hadron is analyzed depending on the confinement potential and total cross section. Using Helmholtz free energy, entropy is calculated near the minimum of the total cross section through the confinement potential, whereas a fitting procedure for the proton-proton total cross section is performed, defining the fitting parameters. As result, the only free parameter in the model is the mass scale κ used to define the running coupling constant from the light-front approach to QCD. The mass scale controls the distance r between the quark-antiquark pair and, under some conditions, can occur the emergence of free quarks in the confinement regime of QCD.

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Logarithmic Regge pole

Cited by 5 publications

References 39 publications

Optical Theorem, Crossing Property and Derivative Dispersion Relations: Implications on the Asymptotic Behavior of $σ_{tot}(s)$ and $ρ(s)$

Optical Theorem, Crossing Property and Derivative Dispersion Relations: Implications on the Asymptotic Behavior of $σ_{tot}(s)$ and $ρ(s)$

The Debye length and the running coupling of QCD: A potential and phenomenological approach

Chiral Symmetry Restoration using the Running Coupling Constant from the Light-Front Approach to QCD

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