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Quantum mechanical scattering resonances for colliding particles occur when a continuum scattering state couples to a discrete bound state between them. The coupling also causes the bound state to interact with itself via the continuum and…

Quantum Gases · Physics 2018-11-22 Ryan Thomas , Matthew Chilcott , Eite Tiesinga , Amita B. Deb , Niels Kjærgaard

The covariant Faddeev approach which describes baryons as relativistic three-quark bound states and is based on the Dyson-Schwinger and Bethe-Salpeter equations of QCD is briefly reviewed. All elements, including especially the baryons'…

High Energy Physics - Phenomenology · Physics 2018-08-01 Reinhard Alkofer , Christian S. Fischer , Helios Sanchis-Alepuz

The Faddeev equations for the three body bound state are solved directly as three dimensional integral equation without employing partial wave decomposition. The numerical stability of the algorithm is demonstrated. The three body binding…

Nuclear Theory · Physics 2009-10-31 Ch. Elster , W. Schadow , A. Nogga , W. Gloeckle

We have observed recently the Stark-tuned three-body F\"orster resonances ${\rm 3}\times nP_{3/2} (|M|)\to nS_{1/2} +(n+1)S_{1/2} +nP_{3/2} (|M^{*} |)$ at long-range interactions of a few cold Rb Rydberg atoms [D.B.Tretyakov et al., Phys.…

Background: The relativistic three-body problem has a long tradition in few-nucleon physics. Calculations of the triton binding energy based on the solution of the relativistic Faddeev equation in general lead to a weaker binding than the…

Nuclear Theory · Physics 2014-11-17 M. R. Hadizadeh , Ch. Elster , W. N. Polyzou

A mechanism of disappearance and formation of the Efimov levels of the helium ^4He_3 trimer is studied when the force of interatomic interaction is changed. The resonances including virtual levels are calculated by the method based on the…

Atomic and Molecular Clusters · Physics 2007-05-23 E. A. Kolganova , A. K. Motovilov

The direct treatment of the Faddeev equation for the three-boson system in 3 dimensions is generalized to nucleons. The one Faddeev equation for identical bosons is replaced by a strictly finite set of coupled equations for scalar functions…

Nuclear Theory · Physics 2010-01-15 W. Glockle , Ch. Elster , J. Golak , R. Skibinski , H. Witala , H. Kamada

\noindent{\bf Background:} Deuteron-induced nuclear reactions are an essential tool for probing the structure of nuclei as well as astrophysical information such as $(n,\gamma)$ cross sections. The deuteron-nucleus system is typically…

Nuclear Theory · Physics 2023-02-01 Linda Hlophe , Konstantinos Kravvaris , Sofia Quaglioni

Elastic electron-helium-3 scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system are obtained by solving the relativistic generalization of the Faddeev equations with a separable…

Nuclear Theory · Physics 2020-10-30 Serge Bondarenko , Valery Burov , Sergey Yurev

A three-body semiclassical model is proposed to describe the nucleon transfer and emission reactions in a heavy-ion collision. In this model the two heavy particles, i.e. nuclear cores A$_1(Z_{A_1}, M_{A_1})$ and A$_2(Z_{A_2}, M_{A_2})$,…

Nuclear Theory · Physics 2015-06-16 Renat A. Sultanov , D. Guster

The three-wave resonant interaction equations are a non-dispersive system of partial differential equations with quadratic coupling describing the time evolution of the complex amplitudes of three resonant wave modes. Collisions of wave…

Mathematical Physics · Physics 2017-06-28 Robert J. Buckingham , Robert M. Jenkins , Peter D. Miller

By means of a technique, which does not employ partial wave (PW) decompositions, the nucleon-deuteron break-up process is evaluated in the Faddeev scheme, where only the leading order term of the amplitude is considered. This technique is…

Nuclear Theory · Physics 2017-08-23 I. Fachruddin , Ch. Elster , W. Gloeckle

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…

Nuclear Theory · Physics 2008-11-26 T. Lin , Ch. Elster , W. N. Polyzou , W. Gloeckle

Three-dimensional (3D) Faddeev integral equations are solved for three-body (3B) bound state problem without using the partial wave (PW) form of low momentum two-body (2B) interaction $V_{low-k}$ which is constructed from spin independent…

Nuclear Theory · Physics 2014-04-03 M. R. Hadizadeh

The three-nucleon bound state problem is studied employing a nucleon-nucleon potential obtained from a basic quark-quark interaction in a five-channel Faddeev calculation. The obtained triton binding energy is comparable to those predicted…

High Energy Physics - Phenomenology · Physics 2016-08-16 B. Juliá-Díaz , J. Haidenbauer , A. Valcarce , F. Fernández

In the framework of the interacting boson model the three transitional regions (rotational-vibrational, rotational-$\gamma$-unstable and, vibrational-$\gamma$-unstable transitions) are reanalyzed. A new kind of plot is presented for…

Nuclear Theory · Physics 2012-07-30 J. E. Garcia-Ramos , C. De Coster , R. Fossion , K. Heyde

We extend our formulation of relativistic three-nucleon Faddeev equations to include both pairwise interactions and a three-nucleon force. Exact Poincare invariance is realized by adding interactions to the mass Casimir operator (rest…

Nuclear Theory · Physics 2015-03-17 H. Witala , J. Golak , R. Skibinski , W. Glockle , H. Kamada , W. N. Polyzou

It is generally accepted that the evolution of deep-water surface gravity wave spectrum is governed by quartet resonant and quasi-resonant interactions. However, it has also been reported in both experimental and computational studies that…

Fluid Dynamics · Physics 2025-04-09 Zhou Zhang , Yulin Pan

Within the framework of resonance fusion study in stellar matter the features of system consisted of two alpha particles and one neutron have been investigated at astrophysical energies. Consideration of three body scattering has been…

Astrophysics · Physics 2009-11-11 Nurgali Takibayev

The present work investigates the numerical evolution of linearized oscillations of non-rotating, spherically symmetric neutron stars within the framework of general relativity. We derive the appropriate equations using the (3+1)-formalism.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Johannes Ruoff