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String scattering amplitudes in the high energy asymptotic region have been studied by saddle point approximation. Recently, it was pointed out that infinitely many complex saddles contribute to string amplitudes even at tree-level after…

High Energy Physics - Theory · Physics 2024-09-25 Takuya Yoda

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch

The most fundamental approach to an understanding of electronic, optical, and transport phenomena which the condensed matter physics (of conventional as well as nonconventional systems) offers is generally founded on two experiments: the…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Manvir S. Kushwaha

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical…

Quantum Physics · Physics 2015-06-17 Ali Mostafazadeh

In many radar scenarios, the radar target or the medium is assumed to possess randomly varying parts. The properties of a target are described by a random process known as the spreading function. Its second order statistics under the WSSUS…

Information Theory · Computer Science 2011-11-18 Onur Oktay , Götz Pfander , Pavel Zheltov

We report on fits of a large class of analytic amplitude models for forward scattering against the comprehensive data for all available reactions. To differentiate the goodness of the fits of many possible parametrizations to a large sample…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Kang , J. R. Cudell , V. V. Ezhela , P. Gauron , Yu. V. Kuyanov , S. B. Lugovsky , B. Nicolescu , N. P. Tkachenko

In this paper, we present a mathematical study of wave scattering by a hard elastic obstacle embedded in a soft elastic body in three dimensions. Our contributions are threefold. First, we characterize subwavelength resonances using the…

Analysis of PDEs · Mathematics 2025-01-14 Bochao Chen , Yixian Gao , Peijun Li , Yuanchun Ren

In this paper, we study the low-energy $d-\alpha$ elastic scattering within the two-body cluster effective field theory (EFT) framework. The importance of the $d(\alpha,\alpha) d$ scattering in the $^6 \textrm{Li} $ production reaction…

Nuclear Theory · Physics 2023-03-02 Farzaneh Nazari , Mahdi Radin , Mahdi Moeini Arani

The Drude scattering times of electrons in two subbands of a parabolic quantum well have been studied at constant electron sheet density and different positions of the electron distribution along the growth direction. The scattering times…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Salis , P. Wirth , T. Heinzel , T. Ihn , K. Ensslin , K. Maranwoski , A. C. Gossard

A method combining the Lagrange-mesh and the complex Kohn variational methods is developed for computing the $\mathcal{S}$ matrix of a 2$+$1 elastic scattering in the frame of three-body Coulomb systems. Resonance parameters can be obtained…

Quantum Physics · Physics 2024-05-28 Jean Servais , Jérémy Dohet-Eraly

It is proved that the set of scattering amplitudes $\{A(\beta, \alpha, k)\}_{\forall \alpha \in S^2}$, known for all $\beta\in S^2$, where $S^2$ is the unit sphere in $\mathbb{R}^3$, $k>0$ is fixed, $k^2$ is not a Dirichlet eigenvalue of…

Mathematical Physics · Physics 2016-11-30 A. G. Ramm

The large radius limit in the AdS/CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the…

High Energy Physics - Theory · Physics 2009-10-31 Steven B. Giddings

We study the causal structure of the minimal surface of the four-gluon scattering, and find a world-sheet wormhole parametrized by Mandelstam variables, thereby demonstrate the EPR = ER relation for gluon scattering. We also propose that…

High Energy Physics - Theory · Physics 2014-07-11 Shigenori Seki , Sang-Jin Sin

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

High Energy Physics - Theory · Physics 2019-08-21 Eliot Hijano

This paper is about the scattering theory for one-dimensional matrix Schr\"odinger operators with a matrix potential having a finite first moment. The transmission coefficients are analytically continued and extended to the band edges. An…

Mathematical Physics · Physics 2022-03-30 Miguel Ballesteros , Gerardo Franco Córdova , Guillermo Garro , Hermann Schulz-Baldes

Recent measurements of the differential cross sections in the forward region of pp elastic scattering at 7 and 8 TeV show precise form of the $t$ dependence. We propose a detailed analysis of these measurements including the structures of…

High Energy Physics - Phenomenology · Physics 2018-01-17 A. K. Kohara , E. Ferreira , T. Kodama , M. Rangel

In classical field theory, radiation does not reflect off of reflectionless kinks. In quantum field theory, radiation quanta, called mesons, can be reflected. We provide a general analytical formula for the leading order amplitude and…

High Energy Physics - Theory · Physics 2023-11-27 Jarah Evslin , Hui Liu

We calculate the inelastic scattering probabilities in the wide band limit of a local polaron model with quadratic coupling to bosons. The central object is a two-particle Green function which is calculated exactly using a purely algebraic…

Materials Science · Physics 2010-03-25 Thomas Olsen

In this article we present a method to compute the scattering states of holes in spherical bands in the strong spin-orbit coupling regime. More precisely, we calculate scattering phase shifts and amplitudes of holes induced by defects in a…

Materials Science · Physics 2007-05-23 P. Bogdanski , H. Ouerdane

The scattering of polarized light incident from one dielectric medium on its two-dimensional randomly rough interface with a second dielectric medium is studied. A reduced Rayleigh equation for the scattering amplitudes is derived for the…

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