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We apply the general results of the kinetic theory of systems with long-range interactions to particular systems of physical interest. We consider repulsive and attractive power-law potentials of interaction r^{-\gamma} with \gamma<d in a…

Statistical Mechanics · Physics 2013-11-12 Pierre-Henri Chavanis

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

A technique for translating the classical scattering function of two gravitationally interacting bodies into a corresponding (effective one-body) Hamiltonian description has been recently introduced [Phys.\ Rev.\ D {\bf 94}, 104015 (2016)].…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Thibault Damour

We study a class of one-dimensional classical fluids with penetrable particles interacting through positive, purely repulsive, pair-potentials. Starting from some lower bounds to the total potential energy, we draw results on the…

Statistical Mechanics · Physics 2017-02-28 Riccardo Fantoni

We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering. We analytically calculate the scalar, electromagnetic, and gravitational…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Samuel E. Gralla , Kunal Lobo

We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with attractive or repulsive on-site interaction. We derive explicit analytic expressions for the two-particle…

Quantum Physics · Physics 2008-08-19 Manuel Valiente , David Petrosyan

This study concerns the two-body scattering of particles in a one-dimensional periodic potential. A convenient ansatz allows for the separation of center-of-mass and relative motion, leading to a discrete Schr\"odinger equation in the…

Atomic Physics · Physics 2021-08-11 Seth T. Rittenhouse , P. Giannakeas , Nirav P. Mehta

Two-body scattering of neutral particles in a trap is studied theoretically. The control of the initial state is realized by using optical traps. The collisions inside the trap occur repeatedly; thereby the effect of interaction can be…

Other Condensed Matter · Physics 2015-05-14 Yanzhang He , Chengguang Bao

One-dimensional scattering by a target with two internal degrees of freedom is investigated. The damping of resonance peaks and the associated appearance of the fluctuating background in the quantum inelastic scattering amplitudes are…

Nuclear Theory · Physics 2007-09-25 Taksu Cheon

We consider the relativistic scattering of unequal-mass scalar particles through graviton exchange in the small-angle high-energy regime. We show the self-consistency of expansion around the eikonal limit and compute the scattering…

High Energy Physics - Theory · Physics 2021-03-24 Ratindranath Akhoury , Ryo Saotome , George Sterman

We analytically derive the general pseudo-potential operator of an arbitrary isotropic interaction for particles confined in two-dimensional (2D) systems, using the frame work developed by Huang and Yang for 3D scattering. We also…

Other Condensed Matter · Physics 2009-08-07 Sheng-Min Shih , Daw-Wei Wang

We compute the scattering angle $\chi$ for hyperboliclike encounters in massless Scalar-Tensor (ST) theories up to third post-Newtonian (PN) order for the conservative part of the dynamics. To calculate the gauge-invariant scattering angle…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Tamanna Jain

In view of recent experiments on ultra-cold polarized fermions, the zero-range potential approach is generalized to situations where two-body scattering is resonant in the p-wave channel. We introduce a modified scalar product which reveals…

Other Condensed Matter · Physics 2007-05-23 Ludovic Pricoupenko

A simple model coupling a one-dimensional beam particle to a one-dimensional harmonic oscillator is used to explore complementarity and entanglement. This model, well-known in the inelastic scattering literature, is presented under three…

Quantum Physics · Physics 2023-09-26 David Kordahl

Using molecular dynamic simulations we study a system of particles interacting through a continuous core-softened potentials consisting of a hard core, a shoulder at closest distances and an attractive well at further distance. We obtain…

Statistical Mechanics · Physics 2010-06-02 Jonathas Nunes da Silva , Evy Salcedo , Alan Barros de Oliveira , Marcia C. Barbosa

We consider a dimer formed by two particles with an attractive contact interaction in one dimension, colliding with a hard wall. We compute the scattering phase shifts and the reflection coefficients for various collision energies and…

Quantum Gases · Physics 2026-03-17 Xican Zhang , Shina Tan

We present an effective two-channel model for reactive collisions of cold atoms. It augments elastic molecular channels with an irreversible, inelastic loss channel. Scattering is studied with the distorted-wave Born approximation and…

Atomic and Molecular Clusters · Physics 2018-02-14 Christian Cop , Reinhold Walser

We present a systematic simulation campaign to investigate the pairwise interaction of two mobile, monodisperse particles submerged in a viscous fluid and subjected to monochromatic oscillating flows. To this end, we employ the immersed…

Fluid Dynamics · Physics 2024-03-08 Fabian Kleischmann , Paolo Luzzatto-Fegiz , Eckart Meiburg , Bernhard Vowinckel

We analyze scattering in a system of two (distinguishable) particles moving on the half-line $\overline{\rz}_+$ under the influence of singular two-particle interactions. Most importantly, due to the spatial localization of the interactions…

Mathematical Physics · Physics 2018-11-14 Sebastian Egger , Joachim Kerner

Despite the simple impact of a rigid particle being a centuries old problem, a conclusive treatment of the general case is still outstanding. The influences of particle shape as well as elastic and plastic deformation of the particle upon…

Soft Condensed Matter · Physics 2025-03-20 Dominik Krengel