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Two- and three-body correlations in partially filled degenerate fermion shells are studied numerically for various interactions between the particles. Three distinct correlation regimes are defined, depending on the short-range behavior of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arkadiusz Wojs , John J. Quinn

The definition of the scattering volume for $p$-wave collisions needs to be generalized in the presence of dipolar interactions for which the potential decreases with the interparticle separation as $1/R^3$. Here, we propose a generalized…

We analyze how corrections linear in the effective range, r_0, affect quantities in the three-body sector within an effective field theory for short-range interactions. We demonstrate that observables can be obtained straightforwardly using…

Nuclear Theory · Physics 2013-09-09 Chen Ji , Daniel R. Phillips , Lucas Platter

The three-body recombination coefficient of a trapped ultracold atomic system, together with the corresponding two-body scattering length $a$, allow us to predict the energy $E_3$ of the shallow trimer bound state, using a universal scaling…

Soft Condensed Matter · Physics 2009-11-10 Lauro Tomio , Victo S. Filho , M. T. Yamashita , A. Gammal , T. Frederico

We propose a method of controlling two- and three-body interactions in an ultracold Bose gas in any dimension. The method requires us to have two coupled internal single-particle states split in energy such that the upper state is occupied…

Quantum Gases · Physics 2014-03-12 D. S. Petrov

We analyse the change in the hyperradial Efimovian three-body potential as the two-body interaction is tuned from the broad to narrow Feshbach resonance regime. Here, it is known from both theory and experiment that the three-body…

Quantum Gases · Physics 2023-09-15 J. van de Kraats , D. J. M. Ahmed-Braun , J. -L. Li , S. J. J. M. F. Kokkelmans

Relativistic Faddeev equations for three-body scattering are solved at arbitrary energies in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated withing the framework of…

Nuclear Theory · Physics 2009-11-13 Ch. Elster , T. Lin , W. N. Polyzou , W. Gloeckle

In ultracold atomic gases, radio-frequency coupling between two spin states can lead to atoms being in a stable coherent superposition of the two states (dressed states). When the two-body interactions (scattering lengths) are different…

Quantum Gases · Physics 2025-03-28 S Tiengo , R Eid , T Bourdel

Scattering and transition amplitudes with three-hadron final states play an important role in nuclear and particle physics. However, predicting such quantities using numerical Lattice QCD is very difficult, in part because of the effects of…

High Energy Physics - Lattice · Physics 2015-11-17 Maxwell T. Hansen

A study of the $\eta$-3N interaction in the energy region near the $\eta$-^3H elastic scattering threshold is presented. The calculational scheme is based on the four-body scattering formalism. A manageable form of the integral equations is…

Nuclear Theory · Physics 2017-08-23 A. Fix , H. Arenhoevel

We present a quantization condition for the spectrum of a system composed of three identical bosons in a finite volume with periodic boundary conditions. This condition gives a relation between the finite volume spectrum and infinite volume…

High Energy Physics - Lattice · Physics 2013-05-29 Raul A. Briceno , Zohreh Davoudi

We report on the first calculation of the scattering length A_{K^-d} based on a relativistic three-body approach where the two-body input amplitudes coupled to the Kbar N channels have been obtained with the chiral SU(3) constraint, but…

Nuclear Theory · Physics 2009-11-07 A. Bahaoui , C. Fayard , T. Mizutani , B. Saghai

Basing on analogy between the three-body scattering problem and the diffraction problem of the plane wave (for the case of the short range pair potentials) by the system of six half transparent screens, we presented a new approach to the…

Mathematical Physics · Physics 2009-09-25 V. S. Buslaev , S. B. Levin , P. Neittaanmäki , T. Ojala

A powerful set of universal relations, centered on a quantity called the contact, connects the strength of short-range two-body correlations to the thermodynamics of a many-body system with delta-function interactions. We report on…

Quantum Gases · Physics 2012-04-30 R. J. Wild , P. Makotyn , J. M. Pino , E. A. Cornell , D. S. Jin

In Efimov physics, a three-body parameter (3BP), previously regarded as nonuniversal, uniquely defines bound and scattering properties of three particles. A universal 3BP, however, have been recently shown in experiments and theory in…

Atomic Physics · Physics 2012-12-13 Yujun Wang , Jia Wang , J. P. D'Incao , Chris H. Greene

We show that the bound states in a three-body system display a Coulomb series with a Gaussian cut-off provided: (i) the system consists of a light particle and two heavy bosonic ones, (ii) the heavy-light short-range potential has a…

Quantum Physics · Physics 2014-07-15 Maxim A. Efremov , Wolfgang P. Schleich

We show that polar molecules driven by microwave fields give naturally rise to strong three-body interactions, while the two-particle interaction can be independently controlled and even switched off. The derivation of these effective…

Statistical Mechanics · Physics 2015-06-25 H. P. Büchler , A. Micheli , P. Zoller

A variational technique to describe the ground and scattering states below the break-up threshold for a three-nucleon system is developed. The method consists in expanding the wave function in terms of correlated Harmonic Hyperspherical…

Nuclear Theory · Physics 2009-10-30 A. Kievsky , M. Viviani , S. Rosati

We investigate the formation of three-body bound states in the continuum by tracing pole trajectories in the complex energy plane under variation of system parameters. Using a one-dimensional model of two identical bosons and a…

Quantum Physics · Physics 2026-01-19 Lucas Happ

This work reviews recent advances in the analytical treatment of the continuum spectrum of correlated few-body non-relativistic Coulomb systems. The exactly solvable two-body problem serves as an introduction to the non-separable…

Mathematical Physics · Physics 2007-05-23 Jamal Berakdar