Elastic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>p</mml:mi></mml:math>scattering in models with a unitarized Pomeron

Martynov, Y.

doi:10.1103/physrevd.76.074030

Cited by 16 publications

(9 citation statements)

References 29 publications

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“…One example is the small-angle elastic pp scattering with momentum transfer of the order of 0.1-1 GeV. At high energies, it is dominated by the exchange of the Pomeron, an emergent strongly-interacting object whose theoretical description is still debated [313]. With vortex proton scattering, one can measure the dependence of the phase of the full amplitude in the momentum transfer.…”

Section: Vortex-vortex Scattering Into Plane Wavesmentioning

confidence: 99%

Theory and applications of free-electron vortex states

Bliokh¹,

Иванов²,

Guzzinati³

et al. 2017

Physics Reports

299

347

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Both classical and quantum waves can form vortices: with helical phase fronts and azimuthal current densities. These features determine the intrinsic orbital angular momentum carried by localized vortex states. In the past 25 years, optical vortex beams have become an inherent part of modern optics, with many remarkable achievements and applications. In the past decade, it has been realized and demonstrated that such vortex beams or wavepackets can also appear in free electron waves, in particular, in electron microscopy. Interest in free-electron vortex states quickly spread over different areas of physics: from basic aspects of quantum mechanics, via applications for fine probing of matter (including individual atoms), to high-energy particle collision and radiation processes. Here we provide a comprehensive review of theoretical and experimental studies in this emerging field of research. We describe the main properties of electron vortex states, experimental achievements and possible applications within transmission electron microscopy, as well as the possible role of vortex electrons in relativistic and high-energy processes. We aim to provide a balanced description including a pedagogical introduction, solid theoretical basis, and a wide range of practical details. Special attention is paid to translate theoretical insights into suggestions for future experiments, in electron microscopy and beyond, in any situation where free electrons occur.

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Section: Vortex-vortex Scattering Into Plane Wavesmentioning

confidence: 99%

Theory and applications of free-electron vortex states

Bliokh¹,

Иванов²,

Guzzinati³

et al. 2017

Physics Reports

299

347

View full text Add to dashboard Cite

show abstract

“…Due to the dynamical properties of the t-channel exchange with the vacuum quantum numbers, dubbed the Pomeron, (the hadronic part of) the scattering amplitude becomes mostly imaginary, but it also contains a real part. Their ratio, usually quantified by the parameter ρ(s, t) = ReM/ImM, turns out to be a sensitive probe of the Pomeron models, see for example [1] and references therein.…”

Section: The Phase Of the Scattering Amplitudementioning

confidence: 99%

Measuring the phase of the scattering amplitude with vortex beams

Иванов

2012

Phys. Rev. D

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We show that colliding vortex beams instead of (approximate) plane waves can lead to a direct measurement of how the overall phase of the plane wave scattering amplitude changes with the scattering angle. Since vortex beams are coherent superpositions of plane waves with different momenta, their scattering amplitude receives contributions from plane wave amplitudes with distinct kinematics. These contributions interfere, leading to the measurement of their phase difference. Although interference exists for any generic wave packet collision, we show that using vortex beams dramatically enhances sensitivity to the phase in comparison with non-vortex beams. Since the overall phase is inaccessible in a plane wave collision, this measurement would be of great importance for a number of topics in hadronic physics, for example, meson production in the resonance region, physics of nucleon resonances, and small angle elastic hadron scattering.Comment: 18 pages, 5 figures; v2: introduction rewritten and expanded, matches the published versio

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“…Among other models for elastic diffractive scattering [22,23,24,25,26,27] and exclusive electroproduction of vector mesons [28,29,30,31,32] the proposed phenomenological scheme stands out due to its salient simplicity and physical clearness and, also, due to the fact that it is the only model which allows to give a simultaneous qualitative description to both "soft" and "hard" exclusive diffractive processes. The range of validity of the model is wide enough to give a good ground for making well-reasoned predictions for elastic diffraction at LHC energies (see Fig.…”

Section: Discussionmentioning

confidence: 99%

A simple model for high-energy nucleon–nucleon elastic diffraction and exclusive diffractive electroproduction of vector mesons on protons

Godizov

2011

Physics Letters B

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The processes of exclusive diffractive scattering p + p → p + p,p + p →p + p, and γ * + p → V + p at high energies are considered in the framework of a unified Regge-eikonal model with a very simple reggeon structure of the eikonal. It is demonstrated that the pomeron trajectory is universal in all reactions and having intercept about 1.31 which could be extracted explicitly from the data on the proton structure function F 2 (x, Q 2 ). The predictions for the proton-proton cross-sections at LHC energies are given. 6 The resonance masses are determined from equations like α(M 2 − iM Γ) = J (here α(t) is some Regge trajectory and J is the resonance spin) which do not imply that Re α(M 2 ) = J and Im α(M 2 ) = 0. The decay widths Γ are only few times less than the corresponding masses M : for example, for f 2 (1270)-mesonConsequently, Chew-Frautschi plots should be considered only as very rough approximations to the true Regge trajectories in the resonance region.

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Elasticppandp¯pscattering in models with a unitarized Pomeron

Cited by 16 publications

References 29 publications

Theory and applications of free-electron vortex states

Theory and applications of free-electron vortex states

Measuring the phase of the scattering amplitude with vortex beams

A simple model for high-energy nucleon–nucleon elastic diffraction and exclusive diffractive electroproduction of vector mesons on protons

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