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We study three-body collisions within ultracold mixtures with resonant interspecies $p$-wave interactions. Our results for the three-body effective interaction strength and decay rate are crucial towards understanding the stability and…

Quantum Gases · Physics 2021-06-02 P. M. A. Mestrom , V. E. Colussi , T. Secker , J. -L. Li , S. J. J. M. F. Kokkelmans

We demonstrate the implications of Efimov physics in the recently measured recombination rate of Cesium-133 atoms. By employing previously calculated results for the energy dependence of the recombination rate of Helium-4 atoms, we obtain…

Other Condensed Matter · Physics 2015-05-13 L. Platter , J. R. Shepard

The long-range non-additive three-body dispersion interaction coefficients $Z_{111}$, $Z_{112}$, $Z_{113}$, and $Z_{122}$ are computed for many atomic combinations using standard expressions. The atoms considered include hydrogen, the rare…

Atomic Physics · Physics 2012-03-26 Li-Yan Tang , Zong-Chao Yan , Ting-Yun Shi , James F. Babb , J. Mitroy

In this work we introduce a new expression of the plasma Dielecronic Recombination (DR) rate as a function of the temperature, derived assuming a small deformation of the Maxwell-Boltzmann distribution and containing corrective factors, in…

Atomic Physics · Physics 2007-05-23 Fatima Bachari , Fabrizio Ferro , Giancarlo Maero , Piero Quarati

It is generally believed that a generic system can be reversibly transformed from one state into another by sufficiently slow change of parameters. A standard argument favoring this assertion is based on a possibility to expand the energy…

Statistical Mechanics · Physics 2008-11-26 Anatoli Polkovnikov , Vladimir Gritsev

We study the three-body problem for both fermionic and bosonic cold atom gases in a parabolic transverse trap of lengthscale $a_\perp$. For this quasi-one-dimensional (1D) problem, there is a two-body bound state (dimer) for any sign of the…

Statistical Mechanics · Physics 2007-05-23 C. Mora , R. Egger , A. O. Gogolin

We study the quantum evolution of many-body Fermi gases in three dimensions, in arbitrarily large domains. We consider both particles with non-relativistic and with relativistic dispersion. We focus on the high-density regime, in the…

Mathematical Physics · Physics 2023-04-05 Luca Fresta , Marcello Porta , Benjamin Schlein

A scheme is proposed to dynamically excite distinct eigenstate superpositions in three-body Bose-Fermi mixtures confined in a two-dimensional harmonic trap. The system is initialized in a non-interacting state with a variable spatial…

Quantum Gases · Physics 2022-11-01 G. Bougas , S. I. Mistakidis , P. Giannakeas , P. Schmelcher

A recombination reaction model for high-temperature chemical kinetics is derived from ab initio simulations data. A kinetic recombination rate model is derived using a recently developed ab initio state-specific dissociation model and the…

Chemical Physics · Physics 2020-09-15 Narendra Singh , Thomas Schwartzentruber

Mixtures of polarised fermions of two different masses can form weakly-bound clusters, such as dimers and trimers, that are universally described by the scattering length between the heavy and light fermions. We use the resonating group…

Quantum Gases · Physics 2016-02-17 Pascal Naidon , Shimpei Endo , Antonio M. García-García

We present a comprehensive derivation of a set of universal relations for spin-orbit-coupled Fermi gases in three or two dimension, which follow from the short-range behavior of the two-body physics. Besides the adiabatic energy relations,…

Quantum Gases · Physics 2020-04-29 Cai-Xia Zhang , Shi-Guo Peng , Kaijun Jiang

We study the one-dimensional Fermi gas subject to dissipative reactions. The dynamics is governed by the quantum master equation, where the Hamiltonian describes coherent motion of the particles, while dissipation accounts for irreversible…

Statistical Mechanics · Physics 2026-04-06 Hannah Lehr , Igor Lesanovsky , Gabriele Perfetto

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

Minimal atomic dark matter with its distinctive cooling mechanisms offers an instructive framework for understanding the potential impact of dark matter on small-scale structure formation and early cosmology. The model consists of two…

High Energy Physics - Phenomenology · Physics 2026-02-12 Jared Barron , Rouven Essig , Megan H. McDuffie , Jesús Pérez-Ríos , Gregory Suczewski

This paper investigates the possible use of the Hyperspherical Adiabatic basis in the description of scattering states of a three-body system. In particular, we analyze a 1+2 collision process below the three-body breakup. The convergence…

Nuclear Theory · Physics 2009-03-24 P. Barletta , A. Kievsky

We analyze reactive collisions of a single Ba$^+$ ion in contact with an ultracold gas of Rb atoms at low three-body collision energies of 2.2(9) mK$\times k_{\mathrm{B}}$. Mapping out the Ba$^+$ loss rate dependence on the Rb atom density…

Atomic Physics · Physics 2016-09-14 Artjom Krükow , Amir Mohammadi , Arne Härter , Johannes Hecker Denschlag

The four-body problem for an interacting two-species Fermi gas is solved analytically in a confined quasi-one-dimensional geometry, where the two-body atom-atom scattering length $a_{aa}$ displays a confinement-induced resonance. We compute…

Statistical Mechanics · Physics 2007-05-23 C. Mora , A. Komnik , R. Egger , A. O. Gogolin

The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume $D$. We study this quantity for identical bosons that interact via a pairwise…

Atomic Physics · Physics 2019-11-25 P. M. A. Mestrom , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

The low temperature unitary Bose gas is a fundamental paradigm in few-body and many-body physics, attracting wide theoretical and experimental interest. Here we first present a theoretical model that describes the dynamic competition…

Three-body systems in two dimensions with zero-range interactions are considered for general masses and interaction strengths. The problem is formulated in momentum space and the numerical solution of the Schr\"odinger equation is used to…

Quantum Gases · Physics 2014-11-12 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner