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Recent advances in electron microscopy allowed the generation of high-energy electron wave packets of ultrashort duration. Here we present a non-perturbative S-matrix theory for scattering of ultrashort electron wave packets by atomic…

Atomic Physics · Physics 2026-05-08 Yuya Morimoto , Lars Bojer Madsen

We investigate the possibility of stochastic acceleration of background low-energy electrons by turbulent plasma waves. We consider the resonant interaction of the charged particles with all branches of the transverse plasma waves…

Astrophysics · Physics 2009-10-28 Julia M. Pryadko , Vahe Petrosian

The Busch-formula relates the energy-spectrum of two point-like particles interacting in a 3-D isotropic Harmonic Oscillator trap to the free scattering phase-shifts of the particles. This formula is used to find an expression for the \it…

Nuclear Theory · Physics 2011-10-04 H. S. Kohler

Frequency shifts, radiative decay rates, the Ohmic loss contribution to the nonradiative decay rates, fluorescence yields, and photobleaching of a two-level atom radiating anywhere inside or outside a complex spherical nanoshell, i.e. a…

Quantum Physics · Physics 2007-05-23 Alexander Moroz

Using the Abel inversion for the eikonal phase as function of the interaction we derive simple integral relations between half and on-shell eikonal phases. A frequently used short-range approximation for the half off-shell phase and profile…

Nuclear Theory · Physics 2009-10-30 A. S. Rinat , M. F. Taragin

A scattering resonance is one of the most striking quantum effects in low-temperature molecular collisions. Predicted decades ago theoretically, they have only been resolved experimentally for systems involving at most four atoms. Extension…

We propose a smooth pseudopotential for the contact interaction acting between ultracold atoms confined to two dimensions. The pseudopotential reproduces the scattering properties of the repulsive contact interaction up to 200 times more…

Quantum Gases · Physics 2016-04-15 T. M. Whitehead , L. M. Schonenberg , N. Kongsuwan , R. J. Needs , G. J. Conduit

Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

Studies of cold atom collisions and few-body interactions often require the energy dependence of the scattering phase shift, which is usually expressed in terms of an effective-range expansion. We use accurate coupled-channel calculations…

Quantum Gases · Physics 2014-04-25 Caroline L. Blackley , Paul S. Julienne , Jeremy M. Hutson

This paper deals with the theory of collisions between two ultracold particles with a special focus on molecules. It describes the general features of the scattering theory of two particles with internal structure, using a time-independent…

Atomic Physics · Physics 2017-03-28 Goulven Quéméner

We calculate the interaction potential between N atoms and NH molecules and use it to investigate cold and ultracold collisions important for sympathetic cooling. The ratio of elastic to inelastic cross sections is large over a wide range…

Chemical Physics · Physics 2011-02-23 Piotr S. Żuchowski , Jeremy M. Hutson

The general formulas to calculate the phase shifts of wave function of a particle scattering on a target formed by a pair of non-identical zero-range potentials are derived. It is shown that at asymptotically great distances from the target…

Quantum Physics · Physics 2022-06-20 A. S. Baltenkov , I. Woiciechowski

Faddeev calculations of low-energy $\Lambda$-deuteron elastic scattering are performed up to $E_{cm}=20$ MeV across the deuteron threshold. Phase shifts of the $s$-wave with $J=1/2$ and $J=3/2$ are calculated using strangeness $S=-1$…

Nuclear Theory · Physics 2024-10-22 M. Kohno , H. Kamada

Resonances are of particular importance to the scattering of composite particles in quantum mechanics. We build an effective field theory for two-body scattering which includes a low-energy $S$-wave resonance. Our starting point is the most…

Nuclear Theory · Physics 2021-05-28 J. Balal Habashi , S. Sen , S. Fleming , U. van Kolck

Distance-dependent phase shifts, amplitude functions, and radial wave functions for neutron-alpha elastic scattering are studied using the Variable Phase Approach. The microscopic KKNN potential is employed to calculate scattering…

Nuclear Theory · Physics 2025-12-16 Anil Khachi

Integrable Quantum Field Theories can be solved exactly using bootstrap techniques based on their elastic and factorisable S-matrix. While knowledge of the scattering amplitudes reveals the exact spectrum of particles and their on-shell…

Statistical Mechanics · Physics 2023-03-30 M. Lencsés , G. Mussardo , G. Takács

The formalism to describe the scattering of a weakly bound projectile nucleus by a heavy target is investigated, using the Uncorrelated Scattering Approximation. The main assumption involved is to neglect the correlation between the…

Nuclear Theory · Physics 2009-11-10 A. M. Moro , J. A. Caballero , J. Gomez-Camacho

We report on the scattering of a plane wave from a vertically oscillating plate in the low frequency approximation by means of Floquet theory. In the case of a static plate, the scattering coefficients are evaluated via mode matching method…

Classical Physics · Physics 2024-12-02 Magdalini Koukouraki , Philippe Petitjeans , Agnès Maurel , Vincent Pagneux

A unified Smoothed Particle Hydrodynamics (SPH) framework is proposed to simulate interaction dynamics involving thin shells modeled by a reduced-dimensional, single-layer particle discretization, as opposed to full-dimensional SPH solids.…

Fluid Dynamics · Physics 2026-02-24 Dong Wu , Shuaihao Zhang , Weiyi Kong , Xiangyu Hu

We investigate the prospects of combining a standard momentum space approach for ultracold three-body scattering with efficient coordinate space schemes to solve the underlying two-body problem. In many of those schemes the two-body problem…

Quantum Gases · Physics 2021-03-17 T. Secker , J. -L. Li , P. M. A. Mestrom , S. J. J. M. F. Kokkelmans