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We consider the effective field theory (EFT) treatment of two-body systems with narrow resonances. Within this approach, an $s$-wave scattering amplitude can be expanded in powers of a typical momentum scale of a system $Q\ll \Lambda$,…

Nuclear Theory · Physics 2017-10-02 Mohammad H. Alhakami

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…

We analyze diffractive deep inelastic scattering within perturbative QCD by studying lepton scattering on a heavy quark target. Simple explicit expressions are derived in impact parameter space for the photon wave function and the…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Paul Hoyer , Lorenzo Magnea

In this paper we propose recurrence relations for the dipole densities in QCD, which allows us to find these densities from the solution to the BFKL equation. We resolve these relations in the diffusion approximation for the BFKL kernel.…

High Energy Physics - Phenomenology · Physics 2023-03-29 Eugene Levin

We analyze the behavior of the dynamic scattering amplitude between Fermi liquid quasiparticles at the Fermi surface in the proximity of a charge instability, which may occur in the high temperature superconducting cuprates. Within the…

Condensed Matter · Physics 2009-10-28 C. Castellani , C. Di Castro , M. Grilli

Using the AdS/CFT correspondence and the eikonal approximation, we evaluate the elastic parton-parton scattering amplitude at large $N$ and strong coupling $g^2N$ in N=4 SYM. We obtain a scattering amplitude with a Regge behavior that…

High Energy Physics - Theory · Physics 2009-10-31 Mannque Rho , Sang-Jin Sin , Ismail Zahed

The Faddeev equation for three-body scattering below the three-body breakup threshold is directly solved without employing a partial wave decomposition. In the simplest form it is a three-dimensional integral equation in four variables.…

Nuclear Theory · Physics 2009-10-31 W. Schadow , Ch. Elster , W. Gloeckle

We present an analytic model of the refractive index for matter waves propagating through atomic or molecular gases. The model, which combines a WKB treatment of the long range attraction with the Fraunhofer model treatment of the short…

Atomic Physics · Physics 2010-08-20 Mikhail Lemeshko , Bretislav Friedrich

In quantum mechanics, collisions between two particles are captured by a scattering matrix which describes the transfer from an initial entrance state to an outgoing final state. Analyticity of the elements of this $S$-matrix enables their…

Quantum Gases · Physics 2021-09-08 Matthew Chilcott , Ryan Thomas , Niels Kjærgaard

We argue that the tree-level graviton-scalar scattering in the Regge limit is unitarized by non-perturbative effects within General Relativity. At Planckian energy the back reaction of the incoming graviton on the background geometry…

High Energy Physics - Theory · Physics 2019-11-19 Ivo Sachs , Tung Tran

In this article we develop an exact(non-adiabatic,non-perturbative) density matrix scattering theory for a two component quantum liquid which interacts or scatters off from a generic spin-dependent quantum potential. We find that the number…

Mesoscale and Nanoscale Physics · Physics 2014-04-16 Tribhuvan Prasad Pareek

We consider a four-parameter family of point interactions in one dimension. This family is a generalization of the usual $\delta$-function potential. We examine a system consisting of many particles of equal masses that are interacting…

Quantum Physics · Physics 2008-11-26 F A B Coutinho , Y Nogami , Lauro Tomio

Many synthetic quantum systems allow particles to have dispersion relations that are neither linear nor quadratic functions. Here, we explore single-particle scattering in general spatial dimension $D\geq 1$ when the density of states…

Quantum Physics · Physics 2021-10-20 Yidan Wang , Michael J. Gullans , Xuesen Na , Seth Whitsitt , Alexey V. Gorshkov

The J-matrix method of scattering is used to obtain analytic expressions for the phase shift of two classes of relativistic exponential-type separable potentials whose radial component is either of the general form r^(n-1)exp(-r) or…

Mathematical Physics · Physics 2009-11-07 A. D. Alhaidari

We use the semiclassical formalism based on singular solutions in complex time to compute scattering rates for multiparticle production at high energies. In a weakly coupled $\lambda \phi^4$ scalar field theory in four dimensions, we…

High Energy Physics - Phenomenology · Physics 2019-03-11 Valentin V. Khoze

A quite unusual diffuse scattering phenomenology was observed in the single-crystal X-ray diffraction pattern of cubic perovskite BMT ($\mathrm{BaMg}_{1/3}\mathrm{Ta}_{2/3}\mathrm{O}_3$). The intensity of the scattering is parametrized as a…

Diffraction patterns produced by fast He atoms grazingly impinging on a LiF(001) surface are investigated focusing on the influence of the beam collimation. Single- and double- slit collimating devices situated in front of the beam source…

Atomic Physics · Physics 2016-09-21 M. S. Gravielle , J. E. Miraglia

We consider quantum scattering of particles in media exhibiting strong dispersion degeneracy. In particular, we study flat-banded lattices and linearly dispersed energy bands. The former constitute a prime example of single-particle…

Quantum Gases · Physics 2017-04-05 Manuel Valiente , Nikolaj Thomas Zinner

Using recently developed techniques, we consider weak-field test-particle scattering angle calculations in two distinct settings: Charged test-particles in spacetimes of charged sources and Effective One-Body theory with spin. We present…

High Energy Physics - Theory · Physics 2023-08-02 Jitze Hoogeveen

The doubly special relativity (DSR) theories are suggested in order to incorporate an observer-independent length scale in special theory of relativity. The Magueijo-Smolin proposal of DSR is realizable through a particular form of the…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Mohsen Khodadi , Kourosh Nozari