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We propose a simple yet effective method for low-frequency broadband acoustic absorption. The absorber consists of two concentric space-coiling resonators with distinct resonance frequencies, with the inner resonator characterized by a…

光学 · 物理学 2025-12-01 Keqiang Lyu , Mohamed Farhat , Ying Wu

We carry out a sequence of coordinate changes for the planar three-body problem which successively eliminate the translation and rotation symmetries, regularize all three double collision singularities and blow-up the triple collision.…

经典分析与常微分方程 · 数学 2012-02-07 Rick Moeckel , Richard Montgomery

Relativistic Faddeev equations for three-body scattering are solved at arbitrary energies in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated withing the framework of…

核理论 · 物理学 2009-11-13 Ch. Elster , T. Lin , W. N. Polyzou , W. Gloeckle

We study two species of particles in two dimensions interacting by isotropic short-range potentials with the interspecies potential fine-tuned to a p-wave resonance. Their universal low-energy physics can be extracted by analyzing a…

量子气体 · 物理学 2014-12-25 Sergej Moroz , Yusuke Nishida

A new convenient method to diagonalize the non-relativistic many-body Schroedinger equation with two-body central potentials is derived. It combines kinematic rotations (democracy transformations) and exact calculation of overlap integrals…

核理论 · 物理学 2017-01-18 Lorenzo Fortunato , Tomohiro Oishi

The energy and the width of resonance states are determined by analytic continuation of bound-state energies as a function of the coupling constant (potential strength). The advantage of the method is that the existing techniques for…

核理论 · 物理学 2008-11-26 N. Tanaka , Y. Suzuki , K. Varga

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

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

核理论 · 物理学 2008-11-26 T. Lin , Ch. Elster , W. N. Polyzou , W. Gloeckle

We discuss the three-body decay mechanisms of many-body resonances. Sequential decays proceed via two-body configurations after emission of the third particle. In direct decay all three particles leave simultaneously their interaction…

核理论 · 物理学 2008-11-26 R. Alvarez-Rodriguez , H. O. U. Fynbo , A. S. Jensen , E. Garrido

The asymptotic behavior of three-body scattering wave functions in configuration space is studied by considering a model equation that has the same asymptotic form as the Faddeev equations. Boundary conditions for the wave function are…

核理论 · 物理学 2014-11-18 G. L. Payne , W. Gloeckle , J. L. Friar

One has to study multivariable scattering amplitudes to extract properties of the three-body states from the generalizations of the L\"uscher finite-volume formalism. In particular, a three-body amplitude obtained from a Lattice QCD…

高能物理 - 格点 · 物理学 2023-12-29 Sebastian M. Dawid

A classical approach to the restricted three-body problem is to analyze the dynamics of the massless body in the synodic reference frame. A different approach is represented by the perturbative treatment: in particular the averaged problem…

地球与行星天体物理 · 物理学 2021-06-29 Alexandre Pousse , Elisa Maria Alessi

Strong interactions produce a rich spectrum of resonances that decay into three or more hadrons. Understanding their phenomenology requires a theoretical framework to extract parameters fromexperimental data and Lattice QCD simulations of…

高能物理 - 格点 · 物理学 2021-11-11 Sebastian M. Dawid

We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Moreover, we consider the extraction of physical observables from the lattice spectrum using the quantization…

高能物理 - 格点 · 物理学 2017-11-22 H. -W. Hammer , J. -Y. Pang , A. Rusetsky

We discuss unitarity constraints on the dynamics of a system of three interacting particles. We show how the short-range interaction that describes three-body resonances can be separated from the long-range exchange processes, in particular…

高能物理 - 唯象学 · 物理学 2019-09-04 M. Mikhasenko , Y. Wunderlich , A. Jackura , V. Mathieu , A. Pilloni , B. Ketzer , A. P. Szczepaniak

This work presents a new design for broadband absorption of low-frequency acoustic waves using a thin coating made of subwavelength acoustic resonators arranged periodically on a reflective surface. We first study the associated scattering…

数值分析 · 数学 2026-03-13 Habib Ammari , Yu Gao , Lara Vrabac

Three-body systems of scalar bosons are described in the framework of relativistic constraint dynamics. With help of a change of variables followed by a change of wave function, two redundant degrees of freedom get eliminated and the…

高能物理 - 理论 · 物理学 2008-11-26 Ph. Droz-Vincent

Efimov physics refers to universal phenomena associated with a discrete scaling symmetry in the 3-body problem with a large scattering length. The first experimental evidence for Efimov physics was the recent observation of a resonant peak…

其他凝聚态物理 · 物理学 2009-03-13 Eric Braaten , H. -W. Hammer

Mean motion resonances are a common feature of both our own Solar System and of extrasolar planetary systems. Bodies can be trapped in resonance when their orbital semi-major axes change, for instance when they migrate through a…

地球与行星天体物理 · 物理学 2015-05-20 Alexander J. Mustill , Mark C. Wyatt

A new variational basis with well-behaved local approximation properties and multiple output is proposed for Coulomb systems. The trial function has proper behaviour at all Coulomb centres. Nonlinear asymptotic parameters are introduced…

原子物理 · 物理学 2007-05-23 Vladimir S. Vanyashin
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