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The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation…

Nuclear Theory · Physics 2009-11-10 H. Liu , Ch. Elster , W. Gloeckle

High precision cross-section data of the deuteron-proton breakup reaction at 130 MeV are presented for 72 kinematically complete configurations. The data cover a large region of the available phase space, divided into a systematic grid of…

The existence of etamesic nuclei has been speculated for a long time without firm experimental evidence. Much of the effort has taken place in final state interactions on production. One crucial factor in seeing a quasibound state is its…

Nuclear Theory · Physics 2015-11-30 J. A. Niskanen

The Kohn variational principle and the (correlated) Hyperspherical Harmonics technique are applied to study the n-3H and p-3He scattering at zero energy. Predictions for the singlet and triplet scattering lengths are obtained for…

Nuclear Theory · Physics 2009-10-31 M. Viviani , S. Rosati , A. Kievsky

We present a detailed study of kinematical and dynamical conditions necessary for probing highly elusive three-nucleon short range correlations~(3N-SRCs) in nuclei through inclusive electron scattering. The kinematic requirements that…

Nuclear Theory · Physics 2024-07-08 Donal B. Day Leonid L. Frankfurt , Misak M. Sargsian , Mark I. Strikman

We study systems of three bosons bound by a long-range interaction supplemented by a short-range potential of variable strength. This generalizes the usual two-body exotic atoms where the Coulomb interaction is modified by nuclear forces at…

Quantum Gases · Physics 2017-09-08 Jean-Marc Richard , Claude Fayard

This work reviews recent advances in the analytical treatment of the continuum spectrum of correlated few-body non-relativistic Coulomb systems. The exactly solvable two-body problem serves as an introduction to the non-separable…

Mathematical Physics · Physics 2007-05-23 Jamal Berakdar

The application of the hyperspherical harmonic approach to the case of the N-d scattering problem below deuteron breakup threshold is described. The nuclear Hamiltonian includes two- and three-nucleon interactions, in particular the Argonne…

Nuclear Theory · Physics 2009-11-06 L. E. Marcucci , A. Kievsky , L. Girlanda , S. Rosati , M. Viviani

The structure of the three-body $nn\Lambda$ system, which has been observed recently by the HypHI collaboration, is investigated taking $\Lambda N-\Sigma N$ coupling explicitly into account. The $YN$ and $NN$ interactions employed in this…

Nuclear Theory · Physics 2015-06-19 E. Hiyama , S. Ohnishi , B. F. Gibson , Th. A. Rijken

We present the results of a recently developed approach where the interplay between the itinerant and localized character of electrons in narrow band materials is described by adding on-site correlation effects to a first principle band…

Strongly Correlated Electrons · Physics 2007-05-23 Franca Manghi , Massimo Rontani

The large values of the singlet and triplet scattering lengths locate the two-nucleon system close to the unitary limit, the limit in which these two values diverge. As a consequence, the system shows a continuous scale invariance which…

Nuclear Theory · Physics 2019-10-09 Mario Gattobigio , Alejandro Kievsky , Michele Viviani

We study the dynamics of a system of $N$ interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to a region of order $\varepsilon$. The interaction is…

Mathematical Physics · Physics 2020-09-04 Lea Boßmann

This work presents three-body calculations of the cross sections for the $^3$He+T $\to$ n+p+$^4$He fusion reaction. These calculations were performed by solving a set of six coupled Faddeev integral equations, utilizing a cluster…

Nuclear Theory · Physics 2025-12-19 M. V. Egorov

To investigate the importance of three-nucleon forces (3NF) systematically over a broad range of intermediate energies, the differential cross sections of elastic proton-deuteron scattering have been measured at proton bombarding energies…

The formalism to describe electron scattering reactions on two-neutron halo nuclei is developed. The halo nucleus is described as a three-body system (core+n+n), and the wave function is obtained by solving the Faddeev equations in…

Nuclear Theory · Physics 2009-10-31 E. Garrido , E. Moya de Guerra

A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body…

Nuclear Theory · Physics 2009-11-07 S. Ishikawa

We study three-body recombination in two dimensions for systems interacting via short-range two-body interactions in the regime of large scattering lengths. Using the adiabatic hyperspherical representation, we derive semi-analytical…

Quantum Physics · Physics 2014-11-11 J. P. D'Incao , Fatima Anis , B. D. Esry

The nucleon-nucleon interaction is constructed by means of the $J$-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in…

Nuclear Theory · Physics 2009-11-10 A. M. Shirokov , A. I. Mazur , S. A. Zaytsev , J. P. Vary , T. A. Weber

We use an effective field theory for short-range forces (SREFT) to analyze systems of three identical bosons interacting via a two-body potential that generates a scattering length, $a$, which is large compared to the range of the…

Nuclear Theory · Physics 2013-11-21 Chen Ji , Daniel R. Phillips

The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation…

Nuclear Theory · Physics 2009-11-10 H. Liu , Ch. Elster , W. Gloeckle
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