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Firstly, a systematic procedure is derived for obtaining three-dimensional bound-state equations from four-dimensional ones. Unlike ``quasi-potential approaches'' this procedure does not involve the use of delta-function constraints on the…

核理论 · 物理学 2008-11-26 D. R. Phillips , S. J. Wallace

Dynamically exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ three-body system are performed using Faddeev-type AGS equations. As input two phenomenological and one chirally motivated $\bar{K}N$ potentials are used, which…

核理论 · 物理学 2015-10-21 N. V. Shevchenko , J. Haidenbauer

Three-body recombination is a prime example of the fundamental interaction between three particles. Due to the complexity of this process it has resisted a comprehensive description. Experimental investigations have mainly focussed on the…

Recently, formalism has been derived for studying electroweak transition amplitudes for three-body systems both in infinite and finite volumes. The formalism provides exact relations that the infinite-volume amplitudes must satisfy, as well…

高能物理 - 格点 · 物理学 2024-05-24 Raul A. Briceño , Andrew Jackura , Dimitra A. Pefkou , Fernando Romero-López

We present a new, mathematically rigorous, method suitable for bound state and scattering processes calculations for various three atomic or molecular systems where the underlying forces are of a hard-core nature. We employed this method to…

化学物理 · 物理学 2007-05-23 E. A. Kolganova , A. K. Motovilov , S. A. Sofianos

Strong three-body interactions above threshold govern the dynamics of many exotics and conventional excited mesons and baryons. Three-body finite-volume energies calculated from lattice QCD promise an ab-initio understanding of these…

高能物理 - 格点 · 物理学 2020-03-25 M. Mai , M. Döring , C. Culver , A. Alexandru

By calculating the contribution of the $\pi-\pi$ three-body force to the three-nucleon binding energy in terms of the $\pi N$ amplitude using perturbation theory, we are able to determine the contribution of the different $\pi N$ partial…

核理论 · 物理学 2008-11-26 T-Y. Saito , I. R. Afnan

We consider three-body systems in two dimensions with zero-range interactions for general masses and interaction strengths. The momentum-space Schr\"odinger equation is solved numerically and in the Born-Oppenheimer (BO) approximation. The…

量子气体 · 物理学 2013-02-13 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

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

The structure of the three-boson bound state in Minkowski space is studied for a model with contact interaction. The Faddeev-Bethe-Salpeter equation is solved both in Minkowski and Euclidean spaces. The results are in fair agreement for…

高能物理 - 唯象学 · 物理学 2020-05-28 E. Ydrefors , J. H. Alvarenga Nogueira , V. A. Karmanov , T. Frederico

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

For the zero-range interaction providing a given mass M_2 of the two-body bound state, the mass M_3 of the relativistic three-boson state is calculated. We have found that the three-body system exists only when M_2 is greater than a…

核理论 · 物理学 2009-11-07 J. Carbonell , V. A. Karmanov

Faddeev equations in configuration space and integral form for three-atom scattering processes are formulated allowing for additive and nonadditive forces. The explicit partial wave decomposition is displayed. This formulation appears to be…

原子物理 · 物理学 2007-05-23 W. Gloeckle , G. Rawitscher

We investigate one-dimensional three-body systems composed of two identical bosons and one imbalanced atom (impurity) with two-body and three-body zero-range interactions. For the case in the absence of three-body interaction, we give a…

量子气体 · 物理学 2021-09-08 Yanxia Liu , Yi-Cong Yu , Shu Chen

Three body systems with short-range interactions display universal features that have been extensively explored in atomic physics, but apply to hadron physics as well. Systems composed of two non-interacting identical particles (species H)…

高能物理 - 唯象学 · 物理学 2018-07-19 Manuel Pavon Valderrama

A simple analytic expression of the three-body wave function describing the system $(\alpha\alpha n)$ in the ground state $\frac{3}{2}^-$ of ${}^9\mathrm{Be}$ is obtained. In doing this, it is assumed that the $\alpha$ particles interact…

核理论 · 物理学 2024-08-06 S. A. Rakityansky

We investigate to what extent 18Ne can be descibed as a three-body system made of an inert 16O-core and two protons. We compare to experimental data and occasionally to shell model results. We obtain three-body wave functions with the…

核理论 · 物理学 2015-03-17 J. A. Lay , D. V. Fedorov , A. S. Jensen , E. Garrido , C. Romero-Redondo

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

This article covers few selected aspects of quantum theory of molecular rotations and vibrations. Triatomic molecules are the simplest systems, which show qualitative characteristics of larger polyatomic molecules. On the minimal example of…

化学物理 · 物理学 2022-03-18 Emil J. Zak

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