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We determined perturbatively the low-energy universal thermodynamics of dilute one-dimensional bosons with the three-body repulsive forces. The final results are presented for the limit of vanishing potential range in terms of…

Quantum Gases · Physics 2019-03-27 Volodymyr Pastukhov

We study three-body recombination in an optically trapped ultracold gas of cesium atoms with precise magnetic control of the s-wave scattering length a. At large positive values of a, we measure the dependence of the rate coefficient on a…

Atomic Physics · Physics 2007-05-23 Tino Weber , Jens Herbig , Michael Mark , Hanns-Christoph Naegerl , Rudolf Grimm

We consider interacting one-dimensional bosons in the universal low-energy regime. The interactions consist of a combination of attractive and repulsive parts that can stabilize quantum gases, droplets and liquids. In particular, we study…

Quantum Gases · Physics 2021-03-31 Ivan Morera , Bruno Juliá-Díaz , Manuel Valiente

We introduce a novel coupled-channels method for elastic three-body scattering in systems of identical bosonic alkali-metal atoms. The approach relies on the numerically exact two-body off-the-energy-shell transition matrix, constructed…

When quantum particles are confined into lower dimensions, an effective three-body interaction inevitably arises and may cause significant consequences. Here we study bosons in one dimension with weak two-body and three-body interactions,…

Quantum Gases · Physics 2018-06-20 Yusuke Nishida

We discuss unitarity constraints on the dynamics of a system of three interacting particles. We show how the short-range interaction that describes three-body resonances can be separated from the long-range exchange processes, in particular…

High Energy Physics - Phenomenology · Physics 2019-09-04 M. Mikhasenko , Y. Wunderlich , A. Jackura , V. Mathieu , A. Pilloni , B. Ketzer , A. P. Szczepaniak

We provide a general discussion on the importance of three-body Efimov physics for strongly interacting ultracold quantum gases. Using the adiabatic hyperspherical representation, we discuss a universal classification of three-body systems…

Atomic Physics · Physics 2018-02-14 Jose P. D'Incao

We study systems of three bosons bound by a long-range interaction supplemented by a short-range potential of variable strength. This generalizes the usual two-body exotic atoms where the Coulomb interaction is modified by nuclear forces at…

Quantum Gases · Physics 2017-09-08 Jean-Marc Richard , Claude Fayard

In this paper, we explore the nature of three-dimensional Bose gases at large positive scattering lengths via resummation of dominating processes involving a minimum number of virtual atoms. We focus on the energetics of the nearly…

Quantum Gases · Physics 2012-02-15 Dmitry Borzov , Mohammad S. Mashayekhi , Shizhong Zhang , Jun-Liang Song , Fei Zhou

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces. One case of such a system is neutron-deuteron scattering at low energies. We demonstrate that in attractive channels the…

Nuclear Theory · Physics 2009-11-10 I. R. Afnan , Daniel R. Phillips

We study the three-body system with short-range interactions characterized by an unnaturally large two-body scattering length. We show that the off-shell scattering amplitude is cutoff independent up to power corrections. This allows us to…

Nuclear Theory · Physics 2009-11-06 H. -W. Hammer , Thomas Mehen

We investigate local three-body correlations for bosonic particles in three and one dimensions as a function of the interaction strength. The three-body correlation function g(3) is determined by measuring the three-body recombination rate…

For identical bosons with a large scattering length, the dependence of the 3-body recombination rate on the collision energy is determined in the zero-range limit by universal functions of a single scaling variable. There are six scaling…

Other Condensed Matter · Physics 2008-12-18 Eric Braaten , H. -W. Hammer , Daekyoung Kang , Lucas Platter

We study the spectral and scattering theory of three body dispersive systems, which include a massless particle and a two body non-relativistic pair, along with two body short interactions among the three particles. We prove local decay…

Mathematical Physics · Physics 2019-01-29 Michael breeling , Avy Soffer

Three-body recombination is a prime example of the fundamental interaction between three particles. Due to the complexity of this process it has resisted a comprehensive description. Experimental investigations have mainly focussed on the…

We consider renormalization of the three-body scattering problem in low-energy effective field theory of self-interacting scalar particles by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation. The…

Nuclear Theory · Physics 2017-06-07 E. Epelbaum , J. Gegelia , Ulf-G. Meißner , De-Liang Yao

We investigate the three-body properties of two identical "up" fermions and one distinguishable "down" atom interacting in a strongly confined two-dimensional geometry. We compute exactly the atom-dimer scattering properties and the…

Quantum Gases · Physics 2013-04-24 V. Ngampruetikorn , Meera M. Parish , J. Levinsen

The optical potential approach for low-energy scattering of $\eta$-mesons on three-body nuclei is compared to an exact treatment of the $\eta 3N$ system using four-body scattering theory with separable interactions in s-waves only. The…

Nuclear Theory · Physics 2009-11-10 A. Fix , H. Arenhoevel

Few-body systems with large scattering length a have universal properties that do not depend on the details of their interactions at short distances. The rate constant for three-body recombination of bosonic atoms of mass m into a shallow…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer , Timo A. Lahde , L. Platter

The momentum space zero-range model is used to investigate universal properties of three interacting particles confined to two dimensions. The pertinent equations are first formulated for a system of two identical and one distinct particle…

Quantum Gases · Physics 2011-10-04 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner