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For the recently developed particle-hole dispersive optical model, weak violations of unitarity due to a phenomenological description of the spreading effect are considered. Methods for unitarity restoration are proposed and implemented for…

Nuclear Theory · Physics 2018-03-14 M. L. Gorelik , S. Shlomo , B. A. Tulupov , M. H. Urin

We discuss how the diffraction theory of a single translation bounded measure or a family of such measures can be understood within the framework of unitary group representations. This allows us to prove an orthogonality feature of measures…

Functional Analysis · Mathematics 2024-02-05 Daniel Lenz , Nicolae Strungaru

Starting from the ACV approach to transplanckian scattering, we present a development of the reduced-action model in which the (improved) eikonal representation is able to describe particles' motion at large scattering angle and,…

High Energy Physics - Theory · Physics 2015-06-22 Marcello Ciafaloni , Dimitri Colferai

Floating point error is an inevitable drawback of embedded systems implementation. Computing rigorous upper bounds of roundoff errors is absolutely necessary to the validation of critical software. This problem is even more challenging when…

Numerical Analysis · Computer Science 2018-02-12 Alexandre Rocca , Victor Magron , Thao Dang

The most important consequence of Pomeron being a pole is the factorization property. However, due to Pomeron intercept being greater than 1, the extrapolated single diffraction dissociation cross section based on a classical triple-Pomeron…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chung-I Tan

An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details.…

High Energy Physics - Theory · Physics 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

This paper addresses the problem of imaging in the presence of diffraction-photons. Diffraction-photons arise from the low contrast ratio of DMDs ($\sim\,1000:1$), and very much degrade the quality of images captured by SPAD-based systems.…

Computer Vision and Pattern Recognition · Computer Science 2019-11-14 Ibrahim Alsolami , Wolfgang Heidrich

We discuss recent developments in descriptions of processes using power expansion around the lightcone within Soft-Collinear Effective Theory. First, we present an overview of the systematically improvable framework that enables…

High Energy Physics - Phenomenology · Physics 2024-02-02 Sebastian Jaskiewicz

One of the more interesting developments from recent collider experiments is the finding that hadronic total cross sections as well as elastic cross s ections can be described by the exchange of a "soft Pomeron" pole in the near-forward…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chung-I Tan

Soft diffractive cross sections in $pp$ (or $\bar pp$), $\pi p$ and $\gamma p$ collisions are calculated using QCD-motivated pomeron. The $s$-channel unitarization of the amplitude is performed by the eikonal approach, and in the framework…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Anisovich , L. G. Dakhno , V. A. Nikonov

High-mass diffractive production of protons on the deuteron target is studied in the perturbative QCD in the BFKL approach. Leading order rearrangement contribution and the standard triple pomeron (the impulse approximation) are studied. In…

High Energy Physics - Phenomenology · Physics 2017-05-24 M. A. Braun

We consider the diffractive Drell-Yan process in proton-(anti)proton collisions at high energies in the color dipole approach. The calculations are performed at forward rapidities of the leptonic pair. Effect of eikonalization of the…

High Energy Physics - Phenomenology · Physics 2015-05-30 R. S. Pasechnik , B. Z. Kopeliovich

In the framework of functional integration the non-leading terms to leading eikonal behavior of the Planckian-energy scattering amplitude are calculated by the straight-line path approximation. We show that the allowance for the first-order…

General Relativity and Quantum Cosmology · Physics 2011-09-13 Nguyen Suan Han , Nguyen Nhu Xuan

The cross sections for a variety of channels of proton-nucleus interaction associated with large gaps in rapidity are calculated within the Glauber-Gribov theory. We found inelastic shadowing corrections to be dramatically enhanced for such…

High Energy Physics - Phenomenology · Physics 2009-11-11 B. Z. Kopeliovich , I. K. Potashnikova , Ivan Schmidt

The $L^p$ maximal inequalities for martingales are one of the classical results in the theory of stochastic processes. Here we establish the sharp moderate maximal inequalities for one-dimensional diffusion processes, which include the…

Probability · Mathematics 2021-11-05 Xian Chen , Yong Chen , Mumien Cheng , Chen Jia

Due to strong absorption of the incident light, the media with high refractive index are considered restrictive for applications in photonic crystals (PhCs). The possibility to resolve this problem by optical saturation effectively…

Optics · Physics 2008-04-15 S. M. Abrarov , R. M. Abrarov

A unified method for three-dimensional reconstruction of objects from transmission images collected at multiple illumination directions is described. The method may be applicable to experimental conditions relevant to absorption-based,…

Medical Physics · Physics 2022-12-07 Timur E. Gureyev , Hamish G. Brown , Harry M. Quiney , Leslie J. Allen

Experimental results on hadronic soft and hard diffractive processes are reviewed with emphasis on aspects of the data that point to the underlying QCD mechanism for diffraction. Diffractive differential cross sections are shown to be…

High Energy Physics - Phenomenology · Physics 2009-09-29 Konstantin Goulianos

We propose a noble notion of the directional emission in microcavity lasers. First, Shannon entropy of the far-field profiles in the polar coordinate can quantify the degree of unidirectionality of the emission, while previous notions about…

Optics · Physics 2022-09-20 Kyu-Won Park , Chang-Hyun Ju , Kabgyun Jeong

We shall discuss how some relevant analyticity and crossing-symmetry properties of the "eikonal scattering amplitudes" of two Wilson loops in QCD, when going from Euclidean to Minkowskian theory, can be related to the still unsolved problem…

High Energy Physics - Phenomenology · Physics 2007-09-11 E. Meggiolaro