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The study of quantum mechanical few-body systems is a century old pursuit relevant to countless subfields of physics. While the two-body problem is generally considered to be well-understood theoretically and numerically, venturing to three…

量子物理 · 物理学 2014-07-30 N. T. Zinner

Few-body physics has played a prominent role in atomic, molecular and nuclear physics since the early days of quantum mechanics. It is now possible---thanks to tremendous progress in cooling, trapping, and manipulating ultracold…

量子气体 · 物理学 2015-06-03 D. Blume

Dimensionality plays an essential role in determining the nature and properties of a physical system. For quantum systems the impact of interactions and fluctuations is enhanced in lower dimensions, leading to a great diversity of genuine…

Strongly interacting systems appear in several areas of physics and are characterized by attractive interactions that can almost, or just barely, loosely bind two particles. Although this definition is made at the two-body level, this gives…

原子物理 · 物理学 2024-07-03 Lucas Madeira

We calculate shallow three-body bound states in the universal regime, defined by Efimov, with inclusion of both scattering length and effective range parameters. The universal spectrum is recovered for the least bound states, whereas for…

量子气体 · 物理学 2012-11-27 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

The four-body bound state with two-body forces is formulated by the Three-Dimensional approach, which greatly simplifies the numerical calculations of few-body systems without performing the Partial Wave components. We have obtained the…

核理论 · 物理学 2017-08-23 M. R. Hadizadeh , S. Bayegan

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…

量子气体 · 物理学 2021-03-31 Ivan Morera , Bruno Juliá-Díaz , Manuel Valiente

The Faddeev equations for the three body bound state are solved directly as three dimensional integral equation without employing partial wave decomposition. The numerical stability of the algorithm is demonstrated. The three body binding…

核理论 · 物理学 2009-10-31 Ch. Elster , W. Schadow , A. Nogga , W. Gloeckle

A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the lattice-like discretization of the three-body continuum with a three-body…

核理论 · 物理学 2015-03-20 O. A. Rubtsova , V. N. Pomerantsev , V. I. Kukulin , Amand Faessler

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…

量子物理 · 物理学 2026-01-19 Lucas Happ

As a straightforward generalization and extension of our previous paper, J. Phys. A50 (2017) 215201 we study aspects of the quantum and classical dynamics of a $3$-body system with equal masses, each body with $d$ degrees of freedom, with…

数学物理 · 物理学 2018-03-01 Alexander V Turbiner , Willard Miller, , M. A. Escobar-Ruiz

Self-bound many-body systems are formed through a balance of attractive and repulsive forces and occur in many physical scenarios. Liquid droplets are an example of a self-bound system, formed by a balance of the mutual attractive and…

We consider a system of three particles in dimension 4 and higher interacting via short-range potentials, where the two-body Hamiltonians have a virtual level at the bottom of the essential spectrum. In dimensions 2 (in case of fermions)…

数学物理 · 物理学 2020-01-08 Simon Barth , Andreas Bitter

We find that universal three-body physics extends beyond the threshold regime to non-zero energies. For ultracold atomic gases with a negative two-body $s$-wave scattering length near a Feshbach resonance, we show the resonant peaks…

原子物理 · 物理学 2015-03-17 Yujun Wang , B. D. Esry

In this work, we use McGuire's model to describe scattering of three spinless identical particles in one spatial dimension, we first present analytic solutions of Faddeev's equation for scattering of three spinless particles in free space.…

高能物理 - 格点 · 物理学 2017-03-29 Peng Guo

The large distance behavior of weakly bound three-body systems is investigated. The Schr\"{o}dinger equation and the Faddeev equations are reformulated by an expansion in eigenfunctions of the angular part of a corresponding operator. The…

核理论 · 物理学 2008-11-26 D. V. Fedorov , A. S. Jensen , K. Riisager

We demonstrate remnant structural universality in a putative S-wave $2n$-halo-bound $D^0nn$ system in the $J=0, T=3/2$ channel by invoking the zero-coupling limit (ZCL), which eliminates sub-threshold decay channels. Within this framework,…

核理论 · 物理学 2026-05-22 Ghanashyam Meher , Sourav Mondal , Udit Raha

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…

原子物理 · 物理学 2012-12-13 Yujun Wang , Jia Wang , J. P. D'Incao , Chris H. Greene

Theoretical research into many-body quantum systems has mostly focused on regular structures which have a small, simple unit cell and where a vanishingly small number of pairs of the constituents directly interact. Motivated by advances in…

量子物理 · 物理学 2022-12-06 Joseph Tindall , Amy Searle , Abdulla Alhajri , Dieter Jaksch

In this work we derive a systematic short-range expansion of the many-body wave function. At leading order, the wave function is factorized to a zero-energy $s$-wave correlated pair and spectator particles, while terms that include energy…

核理论 · 物理学 2023-07-13 Ronen Weiss , Diego Lonardoni , Stefano Gandolfi