Once more on Coulomb-nuclear interference

Petrov, V.

doi:10.1140/epjc/s10052-018-5716-1

Cited by 28 publications

(30 citation statements)

References 11 publications

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“…Differential cross-section contains now the interference term is considered as one of the bona fide basic observables. Actually, the problem is much more complicated and we refer the interested reader to [13] where the issues of Coulomb-nuclear interference are reviewed and discussed.…”

Section: Basic Scattering Observablesmentioning

confidence: 99%

The size seems to matter or where lies the “asymptopia”?

Petrov

Okorokov

2018

Int. J. Mod. Phys. A

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We discuss an apparent correlation between the onset of the rising regime for the total crosssections and the slowdown of the rise of the forward slopes with energy. It is shown that even at highest energies achieved with the LHC the proper sizes of the colliding protons comprise the bulk of the the interaction region. This seems to witness that the "asymptopia" -a hypothetical "truly asymptotic" regime -lies at energies no less than O(100 TeV). In the course of reasoning we also discuss the question of the dependence of the effective sizes of hadrons in collision on the type of their interaction. The ProblemLet us look at Fig. 1 presenting the energy evolution of the total cross sections (σ tot ) and forward slopes (B) for proton-proton interactions. The database (DB17+) of experimental results for the set of the scattering parameters G pp ≡ {G i pp } 2 i=1 = {σ tot , B} is used in the present paper 1 . The set for σ tot contains the data from [1] and preliminary TOTEM results at √ s = 2.76 [2] and 13 TeV [3], the data sample for B unites the subset from [4] with recent improvement from [5] and the new result at √ s = 8 TeV [6] as well as with preliminary points at √ s = 0.20 [7], 2.76 [8] and 13 TeV [3].

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Section: Basic Scattering Observablesmentioning

confidence: 99%

The size seems to matter or where lies the “asymptopia”?

Petrov

Okorokov

2018

Int. J. Mod. Phys. A

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“…This has been further verified for λ values down to 3 × 10 −6 GeV and agrees with the expectation from Eq. (1): introducing λ makes negligible effect whenever λ 2 |t|. In conclusion, we believe that we can choose λ sufficiently small such that the numerical calculation gives predictions comparable (on our |t| range starting at 10 −4 GeV 2 ) with the λ → 0 limit.…”

Section: Resultsmentioning

confidence: 64%

“…Finally, the numerical approach used in this paper provides an explicit evaluation of the CNI to all orders of α, to our knowledge, for the first time. Petrov has also provided a formula to all orders of α [2] but, in our opinion, it is not well-suited for numerical evaluation. Petrov has recently published another and more explicit CNI formula including all orders of α [7], but we have not had a chance to test its numerical properties yet.…”

Section: Introductionmentioning

confidence: 99%

Coulomb-nuclear Interference in Elastic Scattering: Eikonal Calculation to All Orders of \(\alpha \)

Kašpar¹

2021

Acta Phys. Pol. B

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The Coulomb-nuclear interference (CNI) has recently been used by the TOTEM Collaboration to analyse proton-proton elastic-scattering data from the LHC and to draw physics conclusions. This paper will present an eikonal calculation of the CNI effects performed to all orders of the fine structure constant, α. This calculation will be used as a reference to benchmark several widely-used CNI formulae and to verify several recent claims by other authors.

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“…It should be noted here that such a negligibility is a model-dependent effect. In the framework of many models, the corresponding terms are expected to yield a significant contribution into the full amplitude (for detailed discussion, see, say, [11] and references therein).…”

Section: The Impact Of Electromagnetic Interactionmentioning

confidence: 99%

Two-Pomeron eikonal approximation for the high-energy elastic diffractive scattering of nucleons

Godizov

2020

Phys. Rev. D

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It is demonstrated that the elastic diffractive scattering of nucleons at collision energies higher than 540 GeV and transferred momenta lower than 2 GeV, including the Coulombnuclear interference region, can be described in the framework of a very simple Reggeeikonal model where the eikonal is just a sum of two supercritical Regge pole terms. The predictive efficiency of the proposed approximation is verified. *

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Once more on Coulomb-nuclear interference

Abstract: This is a critical reconsideration of the standard way of account for Coulomb-nuclear interference in the elastic scattering amplitude.

Cited by 28 publications

References 11 publications

The size seems to matter or where lies the “asymptopia”?

The size seems to matter or where lies the “asymptopia”?

Coulomb-nuclear Interference in Elastic Scattering: Eikonal Calculation to All Orders of \(\alpha \)

Two-Pomeron eikonal approximation for the high-energy elastic diffractive scattering of nucleons

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