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The resonant mode approximation of the scattering matrix is considered for calculating the optical properties of multilayered periodic structures within the formalism of the Fourier-modal method for two diffraction thresholds in close…

In this paper, the interaction of an incident finite amplitude longitudinal wave with a localized region of nonlinearity is considered. This interaction produces a secondary field represented by a superposition of first-, second-, and…

Applied Physics · Physics 2018-05-09 Christopher M. Kube , Andrea P. Arguelles , Brandon McWilliams

An eikonal expansion is used to provide systematic corrections to the eikonal approximation through order $1/k^2$, where $k$ is the wave number. Electron wave functions are obtained for the Dirac equation with a Coulomb potential. They are…

Nuclear Theory · Physics 2015-05-13 J. A. Tjon , S. J. Wallace

The S-wave model of electron-hydrogen scattering is evaluated using the convergent close-coupling method with an emphasis on scattering from excited states including an initial state from the target continuum. Convergence is found for…

Atomic Physics · Physics 2009-10-31 Chris Plottke , Igor Bray

The scattering of two hadronic objects at high energy is similar to a reaction-diffusion process described by the stochastic Fisher-Kolmogorov equation. This basic observation enables us to derive universal properties of the scattering…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Munier

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

Atomic Physics · Physics 2022-09-20 A. S. Baltenkov , I. Woiciechowski

We obtain the quadratic-in-spin terms of the conservative Hamiltonian describing the interactions of a binary of spinning bodies in General Relativity through $\mathcal{O}(G^2)$ and to all orders in velocity. Our calculation extends a…

High Energy Physics - Theory · Physics 2021-07-28 Dimitrios Kosmopoulos , Andres Luna

We present a boundary integral formulation of electromagnetic scattering by homogeneous bodies that are characterized by linear constitutive equations in the frequency domain. By working with the Cartesian components of the electric, E and…

Computational Physics · Physics 2018-12-18 Qiang Sun , Evert Klaseboer , Derek Y. C. Chan

The complete QED corrections of O(alpha) to polarized Compton scattering are calculated for finite electron mass and including the real corrections induced by the processes e^- gamma -> e^- gamma gamma and e^- gamma -> e^- e^- e^+. All…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , S. Dittmaier

We revisit the fundamentals of two different methods for calculating classical observables: the eikonal method, which is a scattering amplitude-based method, and the worldline quantum field theory (WQFT) method. The latter has been…

High Energy Physics - Theory · Physics 2025-05-06 Siddarth Ajith , Yuchen Du , Ravisankar Rajagopal , Diana Vaman

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

Atomic Physics · Physics 2023-08-23 V. A. Gradusov , S. L. Yakovlev

We derive exact expressions for luminosities of massive vector-boson pairs which can be used to describe the cross sections for processes in hadron collisions or $e^+e^-$ annihilation which proceed via two-vector-boson scattering. Our…

High Energy Physics - Phenomenology · Physics 2011-07-19 I. Kuss , H. Spiesberger

We study quantitatively angular correlations in the two-particle spectrum produced by an energetic probe scattering off a dense hadronic target with sizeable saturation momentum. To this end, two parton inclusive cross sections for…

High Energy Physics - Phenomenology · Physics 2009-11-11 Rudolf Baier , Alex Kovner , Marzia Nardi , Urs Achim Wiedemann

Further progress in hadron spectroscopy necessitates the phenomenological description of three particle reactions. We consider the isobar approximation, where the connected part of the $\mathbf{3}\to\mathbf{3}$ amplitude is first expressed…

High Energy Physics - Phenomenology · Physics 2021-01-13 JPAC Collaboration , A. Jackura , C. Fernández-Ramírez , V. Mathieu , M. Mikhasenko , J. Nys , A. Pilloni , K. Saldaña , N. Sherrill , A. P. Szczepaniak

We develop a simple model to study the heavy quarkonium-hadron cross section in the high energy limit. The hadron is represented by an external electric color field (capacitor) and the heavy quarkonium is represented by a small color…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. S. Kugeratski , F. S. Navarra

We extend the algebraic-eikonal approach to medium energy proton scattering from odd-mass nuclei by combining the eikonal approximation for the scattering with a description of odd-mass nuclei in terms of the interacting boson-fermion…

Nuclear Theory · Physics 2008-11-26 R. Bijker , A. Frank

We study the space and properties of global and local observables for radiation emitted in the scattering of a massive scalar field in gauge and gravitational plane-wave backgrounds, in both the quantum and classical theory. We first…

High Energy Physics - Theory · Physics 2024-03-14 Riccardo Gonzo , Anton Ilderton

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

We consider the radiative corrections to the impact factors of electron and photon. According to a generalized eikonal representation the e\bar e scattering amplitude at high energies and fixed momentum transfers is proportional to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. A. Kuraev , L. N. Lipatov , T. V. Shishkina

The technology required for eikonal scattering amplitude calculations in Matrix theory is developed. Using the entire supersymmetric completion of the v^4/r^7 Matrix theory potential we compute the graviton-graviton scattering amplitude and…

High Energy Physics - Theory · Physics 2009-10-31 Jan C. Plefka , Marco Serone , Andrew K. Waldron