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Three-body correlations in three-body exotic atoms are studied with simple models that consist of three bosons interacting through a superposition of long- and short-range potentials. We discuss the correlations among particles by comparing…

Nuclear Theory · Physics 2019-11-15 H. Moriya , W. Horiuchi , J. -M. Richard

A large two-body scattering length leads to universal behavior in few-body systems. In particular, the three-body system displays interesting features such as exact discrete scale invariance in the bound state spectrum in the limit of…

Nuclear Theory · Physics 2009-11-13 Lucas Platter

We discuss 3-body processes in ultracold two-component Fermi gases with short-range intercomponent interaction characterized by a large and positive scattering length $a$. It is found that in most cases the probability of 3-body…

Statistical Mechanics · Physics 2009-11-07 D. S. Petrov

We derive the scattering length of composite bosons (cobosons) within the framework of the composite boson many-body formalism that uses correlated-pair states as a basis, instead of free fermion states. The integral equation constructed…

Quantum Gases · Physics 2016-12-01 Shiue-Yuan Shiau , Monique Combescot , Yia-Chung Chang

We explore the effect of a finite two-body energy in the discrete scale symmetry regime of two heavy bosonic impurities immersed in a light bosonic system. By means of the Born-Oppenheimer approximation in non-integer dimensions $(D)$, we…

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

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

We study the zero-energy collision of three fermions, two of which are in the spin-down ($\downarrow$) state and one of which is in the spin-up ($\uparrow$) state. Assuming that the two-body and the three-body interactions have a finite…

Quantum Gases · Physics 2025-03-17 Jiansen Zhang , Zipeng Wang , Shina Tan

We investigate theoretically and experimentally the heteronuclear Efimov scenario for a three-body system that consists of two bosons and one distinguishable particle with positive intraspecies scattering lengths. The three-body parameter…

We calculate the three-body spectrum for identical bosons interacting via attractive $1/r^2$ potentials. We have found an infinite number of three-body states even when the pair interactions are too weak to support any two-body states.…

Quantum Physics · Physics 2011-10-05 Nicolais Guevara , Yujun Wang , B. D. Esry

The effective field theory approach is applied to the three-nucleon process of $S=1/2$ neutron-deuteron scattering in the S-wave, including the effective range parameters summed at all orders. This is achieved through a modification of the…

Nuclear Theory · Physics 2007-05-23 F. Gabbiani

We examine the convergence properties of the 2-nucleon Effective Range Expansion as used in Effective Theories (ET-ERE's) for 3-nucleon calculations. We accomplish this by accounting for the 2-body dynamics with a simple rank-1 separable…

Nuclear Theory · Physics 2009-03-31 J. R. Shepard , J. A. McNeil

Two-, three-, and four-boson systems are studied close to the unitary limit using potential models constructed to reproduce the minimal information given by the two-body scattering length $a$ and the two-body binding energy or virtual state…

Quantum Gases · Physics 2016-06-08 R. Álvarez-Rodríguez , A. Deltuva. M. Gattobigio , A. Kievsky

We investigate two-cluster scattering in a quasi-one-dimensional Bose gas. We focus on the effective three-body interaction induced by transverse confinement, which is the leading term for breaking integrability in the quasi-one-dimensional…

Quantum Gases · Physics 2026-05-19 Tomohiro Tanaka , Yusuke Nishida

Three particles with large scattering length display a universal spectrum of three-body bound states called "Efimov trimers''. We calculate the modification of the Efimov trimers of three identical bosons in a finite cubic box and compute…

Nuclear Theory · Physics 2010-07-27 Simon Kreuzer , H. -W. Hammer

We investigate the problem of $N$ identical bosons that are coupled to an impurity particle with infinite mass. For non-interacting bosons, we show that a dynamical impurity-boson interaction, mediated by a closed-channel dimer, can induce…

Quantum Gases · Physics 2018-12-19 Zhe-Yu Shi , Shuhei M. Yoshida , Meera M. Parish , Jesper Levinsen

Three-body resonances are ubiquitous in quantum few-body physics and are characterized by a finite lifetime before decaying into continuum states of their composing subsystems. In this work we present a theoretical study on the possibility…

Quantum Gases · Physics 2026-04-09 Lucas Happ , Pascal Naidon

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

For atoms with large scattering length, the dependence of the 3-body recombination rate on the collision energy is determined by the scattering length and the Efimov 3-body parameters and can be expressed in terms of universal functions of…

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

Algorithm, based on explicit representations for analytic continuation of the T-matrix Faddeev components on unphysical sheets, is worked out for calculations of resonances in the three-body quantum problem. According to the…

Nuclear Theory · Physics 2009-09-25 E. A. Kolganova , A. K. Motovilov