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We consider three-body recombination into deep dimers in a mass-imbalanced two-component atomic gas. We use an optical model where a phenomenological imaginary potential is added to the lowest adiabatic hyper-spherical potential. The…

Quantum Gases · Physics 2015-03-24 M. Mikkelsen , A. S. Jensen , D. V. Fedorov , N. T. Zinner

The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation…

Nuclear Theory · Physics 2009-11-10 H. Liu , Ch. Elster , W. Gloeckle

Particles with resonant short-range interactions have universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the existence of a…

Nuclear Theory · Physics 2011-02-14 H. -W. Hammer , L. Platter

We consider three-body systems in two dimensions with zero-range interactions for general masses and interaction strengths. The momentum-space Schr\"odinger equation is solved numerically and in the Born-Oppenheimer (BO) approximation. The…

Quantum Gases · Physics 2013-02-13 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We consider the low density Bose gas in the thermodynamic limit with a three-body interaction potential. We prove that the leading order of the ground state energy of the system is determined completely in terms of the scattering energy of…

Mathematical Physics · Physics 2023-09-12 Phan Thành Nam , Julien Ricaud , Arnaud Triay

We investigate the low-energy scattering properties of two identical particles interacting via the polarized quadrupolar interaction. It is shown that a series of $s$- and $p$-wave resonances appear for identical bosons and fermions,…

Quantum Gases · Physics 2023-02-22 Fulin Deng , Wenxian Zhang , Su Yi

Quantum simulations based on near-resonance Bose gases are limited by their short lifetimes due to severe atom losses. In addition to this, the recently predicted thermodynamical instability adds another constraint on accessing the resonant…

Quantum Gases · Physics 2023-01-31 Shao-Jian Jiang , Jeff Maki , Fei Zhou

We present a new, mathematically rigorous, method suitable for bound state and scattering processes calculations for various three atomic or molecular systems where the underlying forces are of a hard-core nature. We employed this method to…

Chemical Physics · Physics 2007-05-23 E. A. Kolganova , A. K. Motovilov , S. A. Sofianos

A two-body interaction or force between quantum particles is ubiquitous in nature, and the microscopic description in terms of the bare two-body interaction is the basis for quantitatively describing interacting few- and many-body systems.…

Quantum Gases · Physics 2025-06-17 Kantaro Honda , Yosuke Takasu , Yuki Haruna , Yusuke Nishida , Yoshiro Takahashi

We show that there are effective three- and higher-body interactions generated by the two-body collisions of atoms confined in the lowest vibrational states of a 3D optical lattice. The collapse and revival dynamics of approximate coherent…

Quantum Physics · Physics 2009-11-30 P. R. Johnson , E. Tiesinga , J. V. Porto , C. J. Williams

Three bosons with large scattering length show universal properties that do not depend on the details of the interaction at short distances. In the three-boson system, these properties include a geometric spectrum of shallow three-body…

Nuclear Theory · Physics 2009-03-24 Simon Kreuzer , H. -W. Hammer

In this work we investigate small clusters of bosons using the hyperspherical harmonic basis. We consider systems with $A=2,3,4,5,6$ particles interacting through a soft inter-particle potential. In order to make contact with a real system,…

Atomic and Molecular Clusters · Physics 2012-11-16 M. Gattobigio , A. Kievsky , M. Viviani

Low-energy universality in atomic few-body systems as a result of a large two-body scattering length has gained a lot of attention recently. Here, I discuss recent progress in describing the three-body recombination of cold atoms in terms…

Nuclear Theory · Physics 2009-01-08 Lucas Platter

Collapsing Bose-Einstein condensates are rich and complex quantum systems for which quantitative explanation by simple models has proved elusive. We present new experimental data on the collapse of high density Rb-85 condensates with…

The physical interpretation of lattice QCD simulations, performed in a small volume, requires an extrapolation to the infinite volume. A method is proposed to perform such an extrapolation for three interacting particles at energies above…

High Energy Physics - Lattice · Physics 2018-01-17 M. Mai , M. Döring

A three-body quantum correlation is calculated for two particles reflecting from a mirror. Correlated interference, a consequence of conservation of energy and momentum, occurs for states in which the order of reflection is indeterminate.…

Quantum Physics · Physics 2019-01-03 F. V. Kowalski

We develop a multidimensional coupled channel method suitable for studying the interplay of bound state resonance and phonon assisted scattering of inert gas atoms from solid surfaces in one, two and three dimensions. This enables us to get…

Statistical Mechanics · Physics 2009-11-11 A. Siber , B. Gumhalter

The three-body system inside the unitary window is studied for three equal bosons and three equal fermions having $1/2$ spin-isospin symmetry. We perform a gaussian characterization of the window using a gaussian potential to define…

Nuclear Theory · Physics 2020-11-16 A. Deltuva. A. Kievsky , M. Gattobigio , M. Viviani

We briefly summarize the most relevant steps in the search of rigorous results about the properties of quantum systems made of three bosons interacting with zero-range forces. We also describe recent attempts to solve the unboundedness…

Mathematical Physics · Physics 2020-01-29 Rodolfo Figari , Alessandro Teta

When the binding energy of a two-body system goes to zero the two-body system shows a continuous scaling invariance governed by the large value of the scattering length. In the case of three identical bosons, the three-body system in the…

Quantum Gases · Physics 2018-12-17 A. Kievsky , A. Polls , B. Julia-Diaz , N. Timofeyuk , M. Gattobigio
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