Generalized upper bound for inelastic diffraction

Troshin, S.; Tyurin, N.

doi:10.1088/0954-3899/44/1/015003

Cited by 3 publications

(2 citation statements)

References 35 publications

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“…Here we discuss the sensitivity of this hollowness feature on modeling of the phase of the elastic scattering amplitude as a function of the momentum transfer. In previous analyses [1,[8][9][10][11][12][13][14][15][16][17][18][19] this effect was not treated with sufficient attention.…”

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confidence: 99%

Hollowness in $pp$ Scattering at the LHC

Broniowski¹,

Arriola²

2017

Acta Phys. Pol. B Proc. Suppl.

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We examine how the effect of hollowness in pp scattering at the LHC (minimum of the inelasticity profile at zero impact parameter) depends on modeling of the phase of the elastic scattering amplitude as a function of the momentum transfer. We study the cases of the constant phase, the Bailly, and the so called standard parameterizations. It is found that the 2D hollowness holds in the first two cases, whereas the 3D hollowness is a robust effect, holding for all explored cases.In this contribution we focus on the aspects of the alleged hollowness effect in pp scattering not covered in our previous paper [1] and talks [2,3], where the basic concepts and further details of the presented analysis may be found. The recent TOTEM [4] and ATLAS (ALFA) [5] data for the differential elastic cross section for pp collisions at √ s = 7 TeV and √ s = 8 TeV [6,7] suggest a stunning behavior (impossible to explain on classical grounds), where more inelasticity in the reaction occurs when the protons collide at an impact parameter b of a fraction of a fermi, than for headon collisions. Here we discuss the sensitivity of this hollowness feature on modeling of the phase of the elastic scattering amplitude as a function of the momentum transfer. In previous analyses [1,[8][9][10][11][12][13][14][15][16][17][18][19] this effect was not treated with sufficient attention.

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confidence: 99%

Hollowness in $pp$ Scattering at the LHC

Broniowski¹,

Arriola²

2017

Acta Phys. Pol. B Proc. Suppl.

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“…2 Generalized upper bound when both -absorptive and reflective -modes are presented has been obtained in [17]. 3 The threshold value s r is determined by S(s r , b = 0) = 0.…”

Section: Absorptive and Reflective Scattering Modesmentioning

confidence: 99%

The emergent black ring: a note on increasing ratio $σ_{el}(s)/σ_{tot}(s)$ at the LHC

Troshin,

Tyurin

2019

Preprint

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We discuss the relations between the elastic and inelastic cross-sections valid for the shadow and reflective modes of the elastic scattering. Considerations are based on the unitarity arguments. It is shown that the redistribution of the total interaction probability between the elastic and inelastic interactions can lead to increasing ratio of σ el (s)/σ tot (s) at the LHC energies in presence of the reflective scattering mode. The form of the inelastic overlap function becomes peripheral due to the negative feedback. In the absorptive scattering mode, the mechanism of this increase is a different one since the impact parameter dependence of the inelastic interactions probability is central in this case. A short notice is also given on the slope parameter and the leading contributions to its energy dependence in the both modes.

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A note on the relations between elastic and inelastic interactions and increasing ratio σel(s)/σtot(s) at the LHC

Troshin

Tyurin

2019

Mod. Phys. Lett. A

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We comment briefly on relations between the elastic and inelastic cross-sections valid for the shadow and reflective modes of the elastic scattering. Those are based on the unitarity arguments. It is shown that the redistribution of the probabilities of the elastic and inelastic interactions (the form of the inelastic overlap function becomes peripheral) under the reflective scattering mode can lead to increasing ratio of [Formula: see text] at the LHC energies. In the shadow scattering mode, the mechanism of this increase is a different one, since the impact parameter dependence of the inelastic interactions probability is central in this mode. A short notice is also given on the slope parameter and the leading contributions to its energy dependence in both modes.

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Generalized upper bound for inelastic diffraction

Abstract: For the inelastic diffraction, we obtain an upper bound valid in the whole range of the elastic scattering amplitude variation allowed by unitarity. We discuss the energy dependence of the inelastic diffractive cross-section on the base of this bound and recent LHC data.

Cited by 3 publications

References 35 publications

Hollowness in $pp$ Scattering at the LHC

Hollowness in $pp$ Scattering at the LHC

The emergent black ring: a note on increasing ratio $σ_{el}(s)/σ_{tot}(s)$ at the LHC

A note on the relations between elastic and inelastic interactions and increasing ratio σel(s)/σtot(s) at the LHC

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