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Related papers: Faddeev-type equations for three-body symmetry vio…

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Our earlier Faddeev three-body study in the $K^-$-deuteron scattering length, $A_{K^-d}$, is revisited here in the light of the recent developments in two fronts: {\it (i)} the improved chiral unitary approach to the theoretical description…

High Energy Physics - Phenomenology · Physics 2013-03-25 T. Mizutani , C. Fayard , B. Saghai , K. Tsushima

We have performed a calculation for the three body $\Delta \rho \pi$ system by using the fixed center approximation to Faddeev equations, taking the interaction between $\Delta$ and $\rho$, $\Delta$ and$\pi$, and $\rho$ and $\pi$ from the…

Nuclear Theory · Physics 2011-05-31 Ju-Jun Xie , A. Martinez Torres , E. Oset , P. Gonzalez

This contribution is an advertisement for applying effective field theory (EFT) to many-body problems, including nuclei and cold atomic gases. Examples involving three-body interactions are used to illustrate how EFT's quantify and…

Nuclear Theory · Physics 2015-06-26 R. J. Furnstahl

We investigate the appearance of resonances in three-body systems using pionless effective field theory at leading order. The Faddeev equation is analytically continued to the unphysical sheet adjacent to the positive real energy axis using…

Nuclear Theory · Physics 2022-07-26 Sebastian Dietz , Hans-Werner Hammer , Sebastian König , Achim Schwenk

We perform a calculation for the three body $N \bar{K} K$ scattering amplitude by using the fixed center approximation to the Faddeev equations, taking the interaction between $N$ and $\bar{K}$, $N$ and $K$, and $\bar{K}$ and $K$ from the…

Nuclear Theory · Physics 2015-03-17 Ju-Jun Xie , A. Martínez Torres , E. Oset

In this paper, the interaction of an incident finite amplitude longitudinal wave with a localized region of nonlinearity is considered. This interaction produces a secondary field represented by a superposition of first-, second-, and…

Applied Physics · Physics 2018-05-09 Christopher M. Kube , Andrea P. Arguelles , Brandon McWilliams

Scattering phase shifts of a meson-meson system in staggered 3-dimensional lattice QED are computed. The main task of the simulation is to obtain a discrete set of two-body energy levels. These are extracted from a 4-point time correlation…

High Energy Physics - Lattice · Physics 2009-10-22 H. R. Fiebig , R. M. Woloshyn

We study three-body systems composed of $D^{(*)}$, $B^{(*)}$ and $\bar{B}^{(*)}$ in order to look for possible bound states or resonances. In order to solve the three-body problem, we use the fixed center approach for the Faddeev equations…

High Energy Physics - Phenomenology · Physics 2018-04-04 J. M. Dias , L. Roca , S. Sakai

Scattering and transition amplitudes with three-hadron final states play an important role in nuclear and particle physics. However, predicting such quantities using numerical Lattice QCD is very difficult, in part because of the effects of…

High Energy Physics - Lattice · Physics 2015-11-17 Maxwell T. Hansen

A recently developed formulation for a direct treatment of the equations for two- and three-nucleon bound states as set of coupled equations of scalar functions depending only on vector momenta is extended to three-nucleon scattering.…

Nuclear Theory · Physics 2014-11-20 W. Gloeckle , I. Fachruddin , Ch. Elster , J. Golak , R. Skibinski , H. Witala

We investigate the relativistic scattering of three identical scalar bosons interacting via pair-wise interactions. Extending techniques from the non-relativistic three-body scattering theory, we provide a detailed and general prescription…

Nuclear Theory · Physics 2023-03-09 Sebastian M. Dawid , Md Habib E Islam , Raúl A. Briceño

This paper is concerned with the problem of scattering of a time-harmonic electromagnetic field by a three-dimensional elastic body. General transmission conditions are considered to model the interaction between the electromagnetic field…

Analysis of PDEs · Mathematics 2019-08-27 Tielei Zhu , Jiaqing Yang , Bo Zhang

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…

High Energy Physics - Phenomenology · Physics 2020-05-28 E. Ydrefors , J. H. Alvarenga Nogueira , V. A. Karmanov , T. Frederico

Time reversal invariance violating parity conserving effects for low energy elastic neutron deuteron scattering are calculated for meson exchange and EFT-type of potentials in a Distorted Wave Born Approximation, using realistic hadronic…

Nuclear Theory · Physics 2016-02-25 Young-Ho Song , Rimantas Lazauskas , Vladimir Gudkov

The set of Faddeev and Lippmann--Schwinger integral equations for three-body systems involving Coulomb interactions deduced from a ``three-potential'' picture are shown to be compact for all energies and a method of solution is given.

Nuclear Theory · Physics 2007-05-23 Z. Papp

We examine the convergence properties of the 2-nucleon Effective Range Expansion as used in Effective Theories (ET-ERE's) for 3-nucleon calculations. We accomplish this by accounting for the 2-body dynamics with a simple rank-1 separable…

Nuclear Theory · Physics 2009-03-31 J. R. Shepard , J. A. McNeil

We test microscopic global optical potential in three-body calculations of deuteron-nucleus scattering. We solve Faddeev-type equations for three-body transition operators. We calculate differential cross section and analyzing power for the…

Nuclear Theory · Physics 2025-02-25 A. Deltuva , D. Jurčiukonis , D. Likandrovas , J. Torres Fernandez

For a general two-body bound state in quantum mechanics, both in the stable and decaying cases, we establish a way to extract its two-body wave function in momentum space from the scattering amplitude of the constituent two particles. For…

Quantum Physics · Physics 2017-03-08 Takayasu Sekihara

We present a quantization condition for the spectrum of a system composed of three identical bosons in a finite volume with periodic boundary conditions. This condition gives a relation between the finite volume spectrum and infinite volume…

High Energy Physics - Lattice · Physics 2013-05-29 Raul A. Briceno , Zohreh Davoudi

Boundary integral equation is derived for the problem of scattering of electromagnetic waves by 3D homogeneous body of arbitrary shape.

Mathematical Physics · Physics 2009-09-04 A. G. Ramm
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