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We study the three-body system with short-range interactions characterized by an unnaturally large two-body scattering length. We show that the off-shell scattering amplitude is cutoff independent up to power corrections. This allows us to…

核理论 · 物理学 2009-11-06 H. -W. Hammer , Thomas Mehen

Up to symmetries, the orbits of three equal masses under an inverse cube force with zero angular momentum and constant moment of inertia can be reparametrized as the geodesics of a complete, negatively curved metric on a pair of pants. The…

微分几何 · 数学 2020-02-26 Connor Jackman

Starting from a relativistic s-wave scattering length model for the two particle input we construct an unambiguous, unitary solution of the relativistic three body problem given only the masses $m_a,m_b,m_c$ and the masses of the two body…

高能物理 - 理论 · 物理学 2009-10-30 H. Pierre Noyes , E. D. Jones

A formalism based on the complex-scaling method is presented to solve the few particle scattering problem in configuration space using bound state techniques with trivial boundary conditions. Several applications to A=3,4 systems are…

核理论 · 物理学 2015-06-12 Rimantas Lazauskas , Jaume Carbonell

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 problem of electromagnetic scattering by cylinders is an old problem that has been studied in many configurations. The present publication provides a theoretical study on a not yet investigated general case: the set of finite metallic…

计算物理 · 物理学 2026-03-31 Matthieu Elineau , Lucille Kuhler , Alexandre Chabory

Scattering off a potential is a fundamental problem in quantum physics. It has been studied extensively with amplitudes derived for various potentials. In this article, we explore a setting with no potentials, where scattering occurs off a…

量子气体 · 物理学 2025-04-21 Eric Tan , R. Ganesh

Relativistic Faddeev equations for three-body scattering at arbitrary energies are solved in first order in the two-body transition operator in terms of momentum vectors without employing a partial wave decomposition. Relativistic…

核理论 · 物理学 2007-10-02 Ch. Elster , T. Lin , W. N. Polyzou , W. Gloeckle

We numerically investigate the case of the planar circular restricted three-body problem where the more massive primary is an oblate spheroid. A thorough numerical analysis takes place in the configuration $(x,y)$ and the $(x,E)$ space in…

地球与行星天体物理 · 物理学 2017-09-28 Euaggelos E. Zotos

In this paper, we study the problem of electromagnetic (EM) wave scattering by many small impedance bodies. A numerical method for solving this problem is presented. The problem is solved under the physical assumptions $a\ll d \ll \lambda$,…

经典物理 · 物理学 2017-10-19 Nhan Tran

Three body systems where one of the bodies is ejected without escaping the binary system have previously been studied in various restricted forms. However, none of these studies dwells on the problem in a general setting. Thus, to study…

混沌动力学 · 物理学 2021-08-02 T. S. Sachin Venkatesh

For a particular case of three-body scattering in two dimensions, and matching analytical expressions at a transition point, we obtain accurate solutions for the hyperspherical adiabatic basis and potential. We find analytical expressions…

量子物理 · 物理学 2020-08-05 Monique Lassaut , Alejandro Amaya-Tapia , Anthony D. Klemm , Sigurd Yves Larsen

We study the behavior of the cusp structures focusing on the isospin symmetry breaking effects. The properties of the exotic hadrons are reflected in the shape of the cusp structures. In realistic hadron scatterings, the threshold energies…

高能物理 - 唯象学 · 物理学 2025-07-24 Katsuyoshi Sone , Tetsuo Hyodo

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…

核理论 · 物理学 2017-08-23 A. Fix , H. Arenhoevel

An effective field theory for the three-body system with large scattering length is applied to three-body recombination to a weakly-bound s-wave state in a Bose gas. Our model independent analysis demonstrates that the three-body…

凝聚态物理 · 物理学 2009-10-31 P. F. Bedaque , E. Braaten , H. -W. Hammer

The Bethe-Salpeter equation for three bosons with zero-range interaction is solved for the first time. For comparison the light-front equation is also solved. The input is the two-body scattering length and the outputs are the three-body…

核理论 · 物理学 2017-05-24 E. Ydrefors , J. H. Alvarenga Nogueira , V. Gigante , T. Frederico , V. A. Karmanov

We study the three-body problem for both fermionic and bosonic cold atom gases in a parabolic transverse trap of lengthscale $a_\perp$. For this quasi-one-dimensional (1D) problem, there is a two-body bound state (dimer) for any sign of the…

统计力学 · 物理学 2007-05-23 C. Mora , R. Egger , A. O. Gogolin

In this article we considered the integrable problems of three vortices on a plane and sphere for noncompact case. We investigated explicitly the problems of a collapse and a scattering of vortices and obtained the conditions of its…

混沌动力学 · 物理学 2007-05-23 A. V. Borisov , V. G. Lebedev

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

In binary mixtures of Bose-Einstein condensates, massive-vortex dipoles can arise, and undergo scattering processes against obstacles. These show an intriguing dynamics, governed by the strongly nonlinear character of the quantum vortex…

量子气体 · 物理学 2025-10-28 Alice Bellettini , Enrico Ortu , Vittorio Penna