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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…

原子物理 · 物理学 2007-05-23 Tino Weber , Jens Herbig , Michael Mark , Hanns-Christoph Naegerl , Rudolf Grimm

Four-body equations in momentum space are solved for neutron-$\He$, proton-$\Hh$, and deuteron-deuteron scattering; all three reactions are coupled. The Coulomb interaction between the protons is included using the screening and…

核理论 · 物理学 2008-11-26 A. Deltuva , A. C. Fonseca

Uncertainty in physical parameters can make the solution of forward or inverse light scattering problems in astrophysical, biological, and atmospheric sensing applications, cost prohibitive for real-time applications. For example, given a…

数值分析 · 数学 2021-12-28 Akif Khan , Murugesan Venkatapathi

We consider the problem of a fixed impurity coupled to a small number $N$ of non-interacting bosons. We focus on impurity-boson interactions that are mediated by a closed-channel molecule, as is the case for tuneable interatomic…

量子气体 · 物理学 2018-12-19 Shuhei M. Yoshida , Zhe-Yu Shi , Jesper Levinsen , Meera M. Parish

The goal of this paper is to construct an effective model for studying the asymptotic solution of the scattering problem of three one-dimensional quantum particles with finite (short-range) attractive pair potentials. The asymptotic nature…

数学物理 · 物理学 2024-05-21 Sergey B. Levin , Alexandr S. Bagmutov , Victor O. Toropov

We present results for the three-cluster breakup in deuteron-deuteron collisions at 130 and 270 MeV deuteron beam energy. The breakup amplitude is calculated using the first term in the Neumann series expansion of the corresponding exact…

核理论 · 物理学 2017-06-05 A. Deltuva , A. C. Fonseca

Many-body theory is largely based on self-consistent equations that are constructed in terms of the physical quantity of interest itself, for example the density. Therefore, the calculation of important properties such as total energies or…

材料科学 · 物理学 2015-10-28 Adrian Stan , Pina Romaniello , Santiago Rigamonti , Lucia Reining , J. A. Berger

In relativistic frameworks, given by the Bethe-Salpeter and light-front bound state equations, the binding energies of system of three scalar particles interacting by scalar exchange particles are calculated. In contrast to two-body…

高能物理 - 唯象学 · 物理学 2009-02-19 V. A. Karmanov , P. Maris

We discuss the effective field theory approach to nuclear phenomena with typical momentum below the pion mass. We particularly focus on the three body problem. In the $J=3/2$ channel,effective field theory is extremelly predictive and we…

核理论 · 物理学 2007-05-23 P. F. Bedaque

We analyze, from a canonical quantum field theory perspective, the problem of one-dimensional particles with three-body attractive interactions, which was recently shown to exhibit a scale anomaly identical to that observed in…

高能物理 - 理论 · 物理学 2019-08-22 Wilder S. Daza , Joaquín E. Drut , Chris L. Lin , Carlos R. Ordóñez

We consider low energy inverse problems in three-body scattering and show that if all unknown interactions are small in an appropriate sense then the 2-cluster to 2-cluster S-matrices given at low energies determine the Fourier transform of…

偏微分方程分析 · 数学 2009-11-07 Gunther Uhlmann , Andras Vasy

In this paper we use the planar circular restricted three-body problem where one of the primary bodies is an oblate spheroid or an emitter of radiation in order to determine the basins of attraction associated with the equilibrium points.…

地球与行星天体物理 · 物理学 2016-08-31 Euaggelos E. Zotos

An improved hyperspherical harmonic method for the quantum three-body problem is presented to separate three rotational degrees of freedom completely from the internal ones. In this method, the Schr\"{o}dinger equation of three-body problem…

原子物理 · 物理学 2015-06-26 Zhong-Qi Ma , An-Ying Dai

We present numerical simulations of the gravitational three-body problem, in which three particles lie at rest close to the vertices of an equilateral triangle. In the unperturbed problem, the three particles fall towards the center of mass…

混沌动力学 · 物理学 2023-11-09 Hugo D. Parischewsky , Alessandro A. Trani , Nathan W. C. Leigh

We show how to attach an external photon to a system of three strongly interacting nucleons described by three-body scattering equations. Our method involves the idea of gauging the scattering equations themselves, and results in…

核理论 · 物理学 2007-05-23 A. N. Kvinikhidze , B. Blankleider

We study three-body collisions within ultracold mixtures with resonant interspecies $p$-wave interactions. Our results for the three-body effective interaction strength and decay rate are crucial towards understanding the stability and…

量子气体 · 物理学 2021-06-02 P. M. A. Mestrom , V. E. Colussi , T. Secker , J. -L. Li , S. J. J. M. F. Kokkelmans

The motion of three bodies can be solved perturbatively when a tightly bound inner binary is orbited by a distant perturber, giving rise for example to the well-known Kozai-Lidov oscillations. We propose to study the relativistic…

高能物理 - 理论 · 物理学 2021-07-14 Adrien Kuntz , Francesco Serra , Enrico Trincherini

A rigorous reduction of the many-body wave scattering problem to solving a linear algebraic system is given bypassing solving the usual system of integral equation. The limiting case of infinitely many small particles embedded into a medium…

数学物理 · 物理学 2009-11-13 A. G. Ramm

We present a general approach for the solution of the three-body problem for a general interaction, and apply it to the case of the Coulomb interaction. This approach is exact, simple and fast. It makes use of integral equations derived…

强关联电子 · 物理学 2017-11-22 R. Combescot

The realization of mixtures of excitons and charge carriers in van-der-Waals materials presents a new frontier for the study of the many-body physics of strongly interacting Bose-Fermi mixtures. In order to derive an effective low-energy…

介观与纳米尺度物理 · 物理学 2020-05-20 Christian Fey , Peter Schmelcher , Atac Imamoglu , Richard Schmidt