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We consider collisional properties of weakly bound heteronuclear molecules (dimers) formed in a two-species mixture of atoms with a large mass difference. We focus on dimers containing light fermionic atoms as they manifest collisional…

Statistical Mechanics · Physics 2008-03-15 B. Marcelis , S. J. J. M. F. Kokkelmans , G. V. Shlyapnikov , D. S. Petrov

We develop a diagrammatic approach for solving few-body problems in heteronuclear fermionic mixtures near a narrow interspecies Feshbach resonance. We calculate s-, p-, and d-wave phaseshifts for the scattering of an atom by a weakly-bound…

Quantum Gases · Physics 2011-12-01 J. Levinsen , D. S. Petrov

We consider weakly bound diatomic molecules (dimers) formed in a two-component atomic Fermi gas with a large positive scattering length for the interspecies interaction. We develop a theoretical approach for calculating atom-dimer and…

Statistical Mechanics · Physics 2009-02-05 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

We use the diagrammatic $T$-matrix approach to analyze the three-body scattering problem between two identical fermions and a third particle (which could be a different species of fermion or a boson). We calculate the s-wave dimer-atom…

Quantum Gases · Physics 2015-05-18 M. Iskin

Typically one expects that when a heavy particle collides with a surface, the scattered angular distribution will follow classical mechanics. The heavy mass assures that the de Broglie wavelength of the incident particle in the direction of…

Chemical Physics · Physics 2015-05-19 Jeremy M. Moix , Eli Pollak

We consider bound and scattering states of the one-dimensional dimer formed by two coupled non-identical atoms when one of them also interacts with the zero-range potential located at the origin. By calculating the dimer localized and…

Quantum Physics · Physics 2025-10-15 N. Shypka , O. Hryhorchak , V. Pastukhov

We investigate the scattering cross section of aligned dipolar molecules in low-temperature gases. Over a wide range of collision energies relevant to contemporary experiments, the cross section declines in inverse proportion to the…

Atomic Physics · Physics 2015-05-13 J. L. Bohn , M. Cavagnero , C. Ticknor

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

Atomic Physics · Physics 2023-08-23 V. A. Gradusov , S. L. Yakovlev

The one-dimensional scattering of a two body interacting system by an infinite wall is studied in a quantum-mechanical framework. This problem contains some of the dynamical features present in the collision of atomic, molecular and nuclear…

Nuclear Theory · Physics 2010-10-26 A. M. Moro , J. A. Caballero , J. Gomez-Camacho

Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum…

Quantum Gases · Physics 2015-05-28 K. Helfrich , H. -W. Hammer

We calculate the differential, total, and transport cross-sections for scattering of two-dimensional massless Dirac electrons by a circular barrier. For scatterer of a small radius, the cross-sections are dominated by quantum effects such…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Jhih-Sheng Wu , Michael M. Fogler

We study the phenomena associated with the low-velocity impact of two solid discs of equal size using a cell model of brittle solids. The fragment ejection exhibits a jet-like structure the direction of which depends on the impact…

Condensed Matter · Physics 2015-06-25 F. Kun , H. J. Herrmann

We investigate classical scattering off a harmonically oscillating target in two spatial dimensions. The shape of the scatterer is assumed to have a boundary which is locally convex at any point and does not support the presence of any…

We consider the fast charged particles scattering in ultrathin crystals on the base of the Born approxima-tion of quantum electrodynamics. The main attention is paid to the question of the scattering cross section splitting into coherent…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Nikolai Shul'ga , Viktoriia Koriukina

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

Prompted by recent experimental developments, a theory of surface scattering of fast atoms at grazing incidence is developed. The theory gives rise to a quantum mechanical limit for ordered surfaces that describes coherent diffraction peaks…

Atomic Physics · Physics 2022-09-23 J. R. Manson , Hocine Khemliche , Philippe Roncin

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

We consider molecules made of two one-dimensional short-range-interacting bosonic atoms. We show that in the process of scattering of these molecules off a narrow barrier, odd incident waves produce \emph{no unbound atoms, even when the…

Quantum Gases · Physics 2019-03-27 Juan Polo Gomez , Anna Minguzzi , Maxim Olshanii

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

We present an exact diagrammatic approach for the problem of dimer-dimer scattering in 3D for dimers being a resonant bound state of two fermions in a spin-singlet state, with corresponding scattering length $a_F$. Applying this approach to…

Strongly Correlated Electrons · Physics 2016-08-16 I. V. Brodsky , A. V. Klaptsov , M. Yu. Kagan , R. Combescot , X. Leyronas
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