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The scattering and bound states of the many-body systems, related to the short-range Dyson model, are studied. First, we show that the scattering states can be realized as coherent states and the scattering Hamiltonian can be connected to a…

强关联电子 · 物理学 2007-05-23 Meripeni Ezung , N. Gurappa , Avinash Khare , Prasanta K. Panigrahi

We study the scattering of a light particle on a bound pair of heavy particles (e.g., the deuteron) within the fixed center approximation in the case of light-heavy attraction, solving the integral equation for the three-body Green's…

核理论 · 物理学 2016-12-08 Alexander E. Kudryavtsev , Vakhid A. Gani , Alexander I. Romanov

The paper describes a numerical method for solving acoustic multibody scattering problems in two and three dimensions. The idea is to compute a highly accurate approximation to the scattering operator for each body through a local…

数值分析 · 数学 2026-03-20 Yunhui Cai , Joar Bagge , Per-Gunnar Martinsson

Strong coupling between a two-level system (TLS) and bosonic modes produces dramatic quantum optics effects. We consider a one-dimensional continuum of bosons coupled to a single localized TLS, a system which may be realized in a variety of…

量子物理 · 物理学 2011-09-02 Huaixiu Zheng , Daniel J. Gauthier , Harold U. Baranger

A large two-body scattering length leads to universal behavior in few-body systems. In particular, the three-body system displays interesting features such as exact discrete scale invariance in the bound state spectrum in the limit of…

核理论 · 物理学 2009-11-13 Lucas Platter

The one-dimensional scattering of a two body interacting system by an infinite wall is studied in a quantum-mechanical framework. This problem contains some of the dynamical features present in the collision of atomic, molecular and nuclear…

核理论 · 物理学 2010-10-26 A. M. Moro , J. A. Caballero , J. Gomez-Camacho

We demonstrate the validity of the complex scaling method for realistic strong, non-local, nucleon- nucleon interactions by comparing the deuteron bound state and nucleon-nucleon scattering phase shifts with results from other…

核理论 · 物理学 2015-03-05 G. Papadimitriou , J. P. Vary

The effective field theory with contact interactions alone is a powerful tool to compute low-energy observables for three-body systems with large scattering length. Recent calculations including effective range corrections are discussed and…

核理论 · 物理学 2008-11-26 L. Platter

Atom-dimer scattering below the three-body break-up threshold is studied for a system of three identical bosons. The atom-dimer scattering length and the energy of the most weakly-bound three-body state are shown to be strongly correlated.…

原子与分子团簇 · 物理学 2013-05-30 Vladimir Roudnev , Michael Cavagnero

The elastic neutron-${}^3\mathrm{H}$ scattering at intermediate energies is studied using rigorous integral equations solved in the momentum-space partial-wave basis. The four-particle transition operators are expanded into…

核理论 · 物理学 2025-02-24 A. Deltuva

Two-body scatterings under the potential of a massive object are very common in astrophysics. If the massive body is far enough away that the two small bodies are in their own gravitational sphere of influence, the gravity of the massive…

太阳与恒星天体物理 · 物理学 2023-05-24 Yihan Wang , Saavik Ford , Rosalba Perna , Barry McKernan , Zhaohuan Zhu , Bing Zhang

Important contributions to meson-nucleus scattering are produced by terms in the multiple-scattering series, which is defined as the sum of all diagrams where the meson scatters back and forth between a pair of static nucleons before…

核理论 · 物理学 2015-06-04 V. Baru , E. Epelbaum , C. Hanhart , M. Hoferichter , A. E. Kudryavtsev , D. R. Phillips

We investigate systems of three mutually interacting particles with masses of which the inner is much bigger than the intermediate and the latter is much bigger than the outer. Then the three-body problem reduces to the two-body scattering…

原子物理 · 物理学 2017-03-08 M. Ya. Amusia

In the three-body problem with positive energy, solutions which avoid triple collision have the property that the size of the triangle formed by the bodies tends to infinity as $t\rightarrow \pm\infty$. Furthermore, the triangles have…

动力系统 · 数学 2026-02-20 Richard Moeckel

We study the spectral and scattering theory of three body dispersive systems, which include a massless particle and a two body non-relativistic pair, along with two body short interactions among the three particles. We prove local decay…

数学物理 · 物理学 2019-01-29 Michael breeling , Avy Soffer

A non-relativistic system of three identical particles will display a rich set of universal features known as Efimov physics if the scattering length a is much larger than the range l of the underlying two-body interaction. An appropriate…

其他凝聚态物理 · 物理学 2009-11-13 Lucas Platter , Chen Ji , Daniel R. Phillips

A system of particles hopping on a line, singly or as merged pairs, and annihilating in groups of three on encounters, is solved exactly for certain symmetrical initial conditions. The functional form of the density is nearly identical to…

凝聚态物理 · 物理学 2010-10-12 Vladimir Privman

The effective field theory approach is applied to the three-nucleon process of $S=1/2$ neutron-deuteron scattering in the S-wave, including the effective range parameters summed at all orders. This is achieved through a modification of the…

核理论 · 物理学 2007-05-23 F. Gabbiani

Incoherent $\pi^0$ photoproduction on a deuteron in the $\Delta(1232)$ region is treated in a three-body scattering approach using separable two-body interactions. Results are presented for total and differential cross sections. It turns…

核理论 · 物理学 2019-10-02 A. Fix , H. Arenhövel

We formulate a multiple scattering theory of light in media spatially disordered along two directions and homogeneous along the third one, without making any paraxial approximation on the wave equation and fully treating the vector…

光学 · 物理学 2018-08-06 Nicolas Cherroret
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