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Background: The relativistic three-body problem has a long tradition in few-nucleon physics. Calculations of the triton binding energy based on the solution of the relativistic Faddeev equation in general lead to a weaker binding than the…

核理论 · 物理学 2014-11-17 M. R. Hadizadeh , Ch. Elster , W. N. Polyzou

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…

原子物理 · 物理学 2018-02-14 Jose P. D'Incao

Possible bound and resonant states of the hypernuclear systems $\Lambda nn$ and $\Lambda\Lambda n$ are sought as zeros of the corresponding three-body Jost functions calculated within the framework of the hyperspherical approach with local…

核理论 · 物理学 2008-11-26 V. B. Belyaev , S. A. Rakityansky , W. Sandhas

We apply the analytical disturbing function for arbitrary inclination derived in our previous work to characterize resonant width and libration of mean motion resonances at arbitrary inclination obtained from direct numerical simulations of…

地球与行星天体物理 · 物理学 2020-03-10 Fathi Namouni , Helena Morais

Recent measurements of Efimov resonances in a number of ultracold atom species have revealed an unexpected universality, in which three-body scattering properties are determined by the van der Waals length of the two-body interaction…

量子气体 · 物理学 2013-09-12 Ruth S. Bloom , Ming-Guang Hu , Tyler D. Cumby , Deborah S. Jin

Context: The Circular Restricted Three-Body Problem provides a fundamental framework for understanding resonant dynamics in binary star systems. Aims: We develop a unified Hamiltonian formulation for mean-motion resonances that encompasses…

地球与行星天体物理 · 物理学 2026-05-08 R. Capuzzo-Dolcetta

We present a theoretical analysis of rf association of Efimov trimers in a 2-component Bose gas with short-range interactions. Using the adiabatic hyperspherical Green's function formalism to solve the quantum 3-body problem, we obtain…

原子物理 · 物理学 2015-05-27 T. V. Tscherbul , Seth T. Rittenhouse

We construct a tridiagonal matrix representation for the three dimensions Dirac-Coulomb Hamiltonian that provides for a simple and straightforward relativistic extension of the complex scaling method. Besides the Coulomb interaction,…

量子物理 · 物理学 2008-11-26 A. D. Alhaidari

The lowest-lying states of the Borromean nucleus $^{17}$Ne ($^{15}$O+$p$ + $p$) and its mirror nucleus $^{17}$N ($^{15}$N+$n$ + $n$) are compared by using the hyperspheric adiabatic expansion. Three-body resonances are computed by use of…

核理论 · 物理学 2009-11-10 E. Garrido , D. V. Fedorov , A. S. Jensen

Our aim is to identify and classify mean-motion resonances (MMRs) for the coplanar circular restricted three-body problem (CR3BP) for mass ratios between 0.10 and 0.50. Our methods include the maximum Lyapunov exponent, which is used as an…

地球与行星天体物理 · 物理学 2015-06-05 Billy Quarles , Zdzislaw Musielak , Manfred Cuntz

Three-body resonances in atomic systems are calculated as complex-energy solutions of Faddeev-type integral equations. The homogeneous Faddeev-Merkuriev integral equations are solved by approximating the potential terms in a…

原子物理 · 物理学 2009-11-13 S Keller , A Marotta , Z Papp

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…

量子气体 · 物理学 2021-03-17 T. Secker , J. -L. Li , P. M. A. Mestrom , S. J. J. M. F. Kokkelmans

The Faddeev equations for the three-body bound state with two- and three-body forces are solved directly as three-dimensional integral equation. The numerical feasibility and stability of the algorithm, which does not employ partial wave…

核理论 · 物理学 2009-11-07 H. Liu , Ch. Elster , W. Gloeckle

We present a state-of-the-art reanalysis of experimental results on Efimov resonances in the three-fermion system of $^6$Li. We discuss different definitions of the 3-body parameter (3BP) for Efimov states, and adopt a definition that…

量子气体 · 物理学 2015-06-22 Bo Huang , Kenneth M. O'Hara , Rudolf Grimm , Jeremy M. Hutson , Dmitry S. Petrov

Resonance capture is studied numerically in the three-body problem for arbitrary inclinations. Massless particles are set to drift from outside the 1:5 resonance with a Jupiter-mass planet thereby encountering the web of the planet's…

地球与行星天体物理 · 物理学 2015-06-23 Fathi Namouni , Maria Helena Moreira Morais

Ultracold atomic gases have developed into prime systems for experimental studies of Efimov three-body physics and related few-body phenomena, which occur in the universal regime of resonant interactions. In the last few years, many…

量子气体 · 物理学 2011-10-21 F. Ferlaino , A. Zenesini , M. Berninger , B. Huang , H. -C. Nägerl , R. Grimm

Modern experiments in resonators are moving to ever more extreme quantum regimes, posing major challenges to established theoretical approaches, such as so-called few-mode models. While these models have driven major insights for…

量子物理 · 物理学 2025-12-23 Lucas Weitzel , Andreas Buchleitner , Dominik Lentrodt

The universal variational expansion for the non-relativistic three-body systems is explicitly constructed. Three-body universal expansion can be used to perform highly accurate numerical computations of the bound state spectra in arbitrary…

原子物理 · 物理学 2018-04-18 Alexei M Frolov

Resonant energy transfer from a donor to an acceptor is one of the most basic interactions between atomic and molecular systems. In real-life situations, the donor and acceptor are not isolated but in fact coupled to their environment and…

量子物理 · 物理学 2022-06-09 Madeline C. Waller , Robert Bennett

We consider a multichannel generalization of the Fermi pseudopotential to model low-energy atom-atom interactions near a magnetically tunable Feshbach resonance, and calculate the adiabatic hyperspherical potential curves for a system of…

其他凝聚态物理 · 物理学 2009-11-13 N. P. Mehta , Seth T. Rittenhouse , J. P. D'Incao , Chris H. Greene