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A semi-analytical approach to atomic waveguide scattering for harmonic confinement is developed taking into account all partial waves. As a consequence $\ell$-wave confinement-induced resonances are formed being coupled to each other due to…

Quantum Gases · Physics 2015-06-05 P. Giannakeas , F. K. Diakonos , P. Schmelcher

Scattering matrices with block symmetry, which corresponds to scattering process on cavities with geometrical symmetry, are analyzed. The distribution of transmission coefficient is computed for different number of channels in the case of a…

chao-dyn · Physics 2008-02-03 Karol Życzkowski

The two-body Coulomb scattering problem is solved using the standard complex scaling method. The explicit enforcement of the scattering boundary condition is avoided. Splitting of the scattering wave function based on the Coulomb modified…

Atomic Physics · Physics 2015-06-03 I. Hornyak , A. T. Kruppa

We perform an analytical investigation in the framework of generalized $K$ matrix theory of the scattering problem in tight isotropic and harmonic waveguides allowing for several open scattering channels. The scattering behavior is explored…

Quantum Gases · Physics 2015-08-26 Benjamin Heß , Panagiotis Giannakeas , Peter Schmelcher

Using first-principles calculation within Quantum Chromodynamics, we are able to determine a pattern of strangeness=1 resonances which appear as complex singularities within coupled $\pi K$, $\eta K$ scattering amplitudes. We make use of…

High Energy Physics - Phenomenology · Physics 2014-11-05 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas , David J. Wilson

We study in detail the barrier distributions extracted from large-angle quasi-elastic scattering of heavy ions at energies near the Coulomb barrier. Using a closed-form expression for scattering from a single barrier, we compare the…

Nuclear Theory · Physics 2009-11-10 K. Hagino , N. Rowley

A consistent semiquantitative theoretical analysis of electronic Raman scattering from many-electron quantum dots under resonance excitation conditions has been performed. The theory is based on random-phase-approximation-like wave…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Alain Delgado , Augusto Gonzalez , D. J. Lockwood

By considering a cylindrically symmetric generalization of a plane wave, the first Born approximation of screened Coulomb scattering unfolds two new dimensions in the scattering problem: transverse momentum and orbital angular momentum of…

Quantum Physics · Physics 2014-04-02 Ruben Van Boxem , Bart Partoens , Jo Verbeeck

A periodizing scheme and the method of fundamental solutions are used to solve acoustic wave scattering from doubly-periodic three-dimensional multilayered media. A scattered wave in a unit cell is represented by the sum of the near and…

Numerical Analysis · Mathematics 2019-06-26 Min Hyung Cho

This paper considers acoustic scattering by and propagation through line and plane arrays of air-bubbles in liquid media. The self-consistent method is used to derive the effective scattering function of a single bubble embedded in the…

Classical Physics · Physics 2007-05-23 Zhen Ye

Combining large $N_C$ techniques and partial wave dispersion theory to analyze the $\pi\pi$ scattering, without relying on any explicit resonance lagrangian, some interesting results are derived: (a) a general KSRF relation including the…

High Energy Physics - Phenomenology · Physics 2009-11-13 Zhi-Hui Guo

We derive analytical solutions for the system of two ultracold spin-polarized fermions interacting in p wave and confined in an axially symmetric harmonic trap. To this end we utilize p-wave pseudopotential with an energy-dependent…

Atomic Physics · Physics 2013-05-29 Zbigniew Idziaszek

We introduce a novel coupled-channels method for elastic three-body scattering in systems of identical bosonic alkali-metal atoms. The approach relies on the numerically exact two-body off-the-energy-shell transition matrix, constructed…

We study the correlations of time delays in a model of chaotic resonance scattering based on the random matrix approach. Analytical formulae which are valid for arbitrary number of open channels and arbitrary coupling strength between…

chao-dyn · Physics 2015-06-24 N. Lehmann , D. V. Savin , V. V. Sokolov , H. -J. Sommers

This work extends previous results on the inverse scattering problem within the framework of Marchenko theory (fixed-$l$ inversion). In particular, I approximate an $n$-channel $S$-matrix as a function of the first-channel momentum $q$ by a…

Quantum Physics · Physics 2026-02-17 N. A. Khokhlov

The aim of this paper is to derive a formula for the subwavelength resonance frequency of an encapsulated bubble with arbitrary shape in two dimensions. Using Gohberg-Sigal theory, we derive an asymptotic formula for this resonance…

Analysis of PDEs · Mathematics 2020-09-15 Habib Ammari , Brian Fitzpatrick , Hyundae Lee , Erik Orvehed Hiltunen , Sanghyeon Yu

The scattering of a weakly bound (halo) projectile nucleus by a heavy target nucleus is investigated. A new approach, called the Uncorrelated Scattering Approximation, is proposed. The main approximation involved is to neglect the…

Nuclear Theory · Physics 2009-11-07 A. M. Moro , J. A. Caballero , J. Gómez-Camacho

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

We examine the validity of the widely used T-matrix approximation for treating phonon-disorder scattering by implementing an unfolding algorithm that allows simulation of disorder up to tens of millions of atoms. The T-matrix approximation…

Materials Science · Physics 2020-10-06 S. Thébaud , C. A. Polanco , L. Lindsay , T. Berlijn

The relativistic scattering of spin-0 bosons by spherically symmetric Coulomb fields is analyzed in detail with an arbitrary mixing of vector and scalar couplings. It is shown that the partial wave series reduces the scattering amplitude to…

Nuclear Theory · Physics 2015-06-23 M. G. Garcia , A. S. de Castro