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In this work we investigate the connection between discretized three-body continuum wave functions, in particular via a box boundary condition, and the wave functions computed with the correct asymptotics. The three-body wave functions are…

Nuclear Theory · Physics 2015-05-20 E. Garrido

The inclusion of the continuum in the study of weakly-bound three-body systems is discussed. A transformed harmonic oscillator basis is introduced to provide an appropriate discrete and finite basis for treating the continuum part of the…

Momentum space three-body Faddeev-like equations are used to calculate elastic, transfer and charge exchange reactions resulting from the scattering of deuterons on 12C and 16O or protons on 13C and 17O; 12C and 16O are treated as inert…

Nuclear Theory · Physics 2009-01-21 A. Deltuva , A. C. Fonseca

We have introduced a spin-isospin dependent three-dimensional approach for formulation of the three-nucleon scattering. Faddeev equation is expressed in terms of vector Jacobi momenta and spin-isospin quantum numbers of each nucleon. Our…

Nuclear Theory · Physics 2010-11-08 M. Harzchi , S. Bayegan

We introduce an approach, based on the coordinate space Faddeev equations, to solve the quantum mechanical three-body Coulomb problem in the continuum. We apply the approach to compute measured properties of the first two $0^+$ levels in…

Nuclear Theory · Physics 2009-10-30 D. V. Fedorov , A. S. Jensen

The three--nucleon scattering problem in a nuclear medium is considered within the Faddeev technique. In particular the deuteron break--up cross section that governs the formation and the break--up reactions of deuterons (NNN <-> Nd) in a…

Nuclear Theory · Physics 2009-10-30 M. Beyer , G. Röpke , A. Sedrakian

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…

High Energy Physics - Lattice · Physics 2021-11-11 Sebastian M. Dawid

We review recent work concerning the $\bar{K}N$ interaction and Faddeev equations with chiral dynamics which allow us to look at the $\bar{K}NN$ from a different perspective and pay attention to problems that have been posed in previous…

High Energy Physics - Phenomenology · Physics 2015-06-04 E. Oset , D. Jido , T. Sekihara , A. Martinez Torres , K. P. Khemchandani , M. Bayar , J. Yamagata-Sekihara

The Faddeev equations for the three-body bound state are solved directly as thre e-dimensional integral equations without employing partial wave decomposition. Two-body forces of the Malfliet-Tjon type and simple spin independent genuine…

Nuclear Theory · Physics 2009-11-07 H. Liu , Ch. Elster , W. Gloeckle

We present the experimental detection of coherent three-body interactions, often masked by stronger two-body effects, through nonequilibrium spin dynamics induced by controllably quenching lattice-confined spinor gases. Three-body…

Quantum Gases · Physics 2026-04-07 C. Binegar , J. O. Austin-Harris , S. E. Begg , P. Sigdel , T. Bilitewski , Y. Liu

We propose a new method to describe three-body breakups of nuclei, in which the Lippmann-Schwinger equation is solved combining with the complex scaling method. The complex-scaled solutions of the Lippmann-Schwinger equation (CSLS) enables…

Nuclear Theory · Physics 2009-11-19 Yuma Kikuchi , Takayuki Myo , Masaaki Takashina , Kiyoshi Kato , Kiyomi Ikeda

The recently developed method to solve the Faddeev equations in coordinate space is used to study the weakly bound halo nucleus, the hypertriton (Lambda + n + p). The long distances are treated carefully to achieve convergence and high…

Nuclear Theory · Physics 2008-11-26 A. Cobis , A. S. Jensen , D. V. Fedorov

The low-energy $\Xi$-deuteron scattering is investigated through the solution of Faddeev equations, employing three sets of the currently available parametrization of the $\Xi$-nucleon interactions. One of these is the chiral NLO…

Nuclear Theory · Physics 2026-05-11 M. Kohno , H. Kamada

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…

Quantum Gases · Physics 2012-11-27 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

For solving the $2\to 2,3$ three-body Coulomb scattering problem the Faddeev-Merkuriev integral equations in discrete Hilbert-space basis representation are considered. It is shown that as far as scattering amplitudes are considered the…

Nuclear Theory · Physics 2007-05-23 Z. Papp , S. L. Yakovlev

We present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the Boundary Condition Model…

Chemical Physics · Physics 2008-02-03 E. A. Kolganova , A. K. Motovilov , S. A. Sofianos

The paper contains a review of the exact or accurate results achieved in the field of the three-body antikaon-nucleon physics. Different states and processes in $\bar{K}NN$ and $\bar{K}\bar{K}N$ systems are considered. In particular,…

Nuclear Theory · Physics 2017-01-04 N. V. Shevchenko

We discuss how large three-body loss of atoms in an optical lattice can give rise to effective hard-core three-body interactions. For bosons, in addition to the usual atomic superfluid, a dimer superfluid can then be observed for attractive…

Other Condensed Matter · Physics 2009-05-18 A. J. Daley , J. M. Taylor , S. Diehl , M. Baranov , P. Zoller

A new, more efficient approach to include a three nucleon force into three-nucleon continuum calculations is presented. Results obtained in the new and our old approach are compared both for elastic nucleon-deuteron scattering as well as…

Nuclear Theory · Physics 2007-05-23 D. Hüber , H. Kamada , H. Witała , W. Glöckle

In this work, we use McGuire's model to describe scattering of three spinless identical particles in one spatial dimension, we first present analytic solutions of Faddeev's equation for scattering of three spinless particles in free space.…

High Energy Physics - Lattice · Physics 2017-03-29 Peng Guo
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