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A solution to the relativistic generalization of the four-particle integral Faddeev-Yakubovsky equation is carried out. Only states with zero orbital angular momentum, $S$ states, are considered in the calculations. A rank-one separable…

Nuclear Theory · Physics 2025-04-29 S. Yurev , S. Bondarenko

A microscopic model for three-cluster configurations in light nuclei is presented. It uses an expansion in terms of Faddeev components for which the dynamic eqations are derived. The model is designed to investigate binary channel processes…

Nuclear Theory · Physics 2009-10-16 V. S. Vasilevsky , F. Arickx , J. Broeckhove , T. P. Kovalenko

We review some simple mechanisms of breakup in nuclear reactions. We mention the spectator breakup, which is described in the post-form DWBA. The relation to other formulations is also indicated. An especially important mechanism is Coulomb…

Nuclear Theory · Physics 2017-08-23 G. Baur , S. Typel , H. H. Wolter , K. Hencken , D. Trautmann

\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

{\bf Background:} Deuteron induced reactions are widely used to probe nuclear structure and astrophysical information. Those (d,p) reactions may be viewed as three-body reactions and described with Faddeev techniques. {\bf Purpose:} Faddeev…

Nuclear Theory · Physics 2018-01-03 L. Hlophe , Jin Lei , Ch. Elster , A. Nogga , F. M. Nunes

The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. The equation is solved through Pad\'e summation,…

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

In the first part of this paper, we use the framework of the Fermi liquid theory to derive model-independent relations between the slope parameters of the symmetry energy and of the incompressibility in nuclear matter to three-particle…

Nuclear Theory · Physics 2025-12-01 Wolfgang Bentz , Ian C. Cloët

Treating $(d,p)$ reactions in a Faddeev-AGS framework requires the interactions in the sub-systems as input. We derived separable representations for the neutron- and proton-nucleus interactions from phenomenological global optical…

Nuclear Theory · Physics 2016-04-20 L. Hlophe , Ch. Elster , V. Eremenko , F. M. Nunes , I. J. Thompson , G. Arbanas , J. Escher

We discuss the application of the chiral N3LO forces to three-nucleon reactions and point to the challenges which will have to be addressed. Present approaches to solve three-nucleon Faddeev equations are based on a partial-wave…

Nuclear Theory · Physics 2015-06-17 Henryk Witala , Jacek Golak , Roman Skibinski , Kacper Topolnicki

A phase space coalescence description based on the Wigner-function method for cluster formation in relativistic nucleus-nucleus collisions is presented. The momentum distributions of nuclear clusters d,t and He are predicted for central…

Nuclear Theory · Physics 2008-11-26 R. Mattiello , H. Sorge , H. Stöcker , W. Greiner

We present here a first application of the Fermionic Molecular Dynamics (FMD) approach to low-energy nuclear reactions, namely the $^3$He($\alpha$,$\gamma$)$^7$Be radiative capture reaction. We divide the Hilbert space into an external…

Nuclear Theory · Physics 2010-12-23 Thomas Neff , Hans Feldmeier , Karlheinz Langanke

Nucleon-knockout reactions on proton targets (p, pN ) have experienced a renewed interest due to the availability of inverse-kinematics experiment with exotic nuclei. Various theoretical descriptions have been used to describe these…

Nuclear Theory · Physics 2020-12-30 M. Gomez-Ramos , A. Deltuva , A. M. Moro

\begin{description} \item[Background] Fusion reactions play an important role in nucleosynthesis and in applications to society. Yet they remain challenging to model. \item[Purpose] In this work, we investigate the features of the…

Nuclear Theory · Physics 2025-07-16 J. Rangel , B. Pinheiro , V. A. B. Zagatto , J. Lubian , F. M. Nunes , L. F. Canto

These notes summarise the lectures I gave during the summer school "International Scientific Meeting on Nuclear Physics" at La R\'abida in Spain in June 2018. They offer an introduction to nuclear-reaction theory, starting with the basics…

Nuclear Theory · Physics 2019-07-04 Pierre Capel

Within a few-body formalism, we develop a general theory of surrogate nuclear and atomic reactions with the excitation of a resonance in the intermediate binary subsystem leading to three charged particles in the final state. The Coulomb…

Nuclear Theory · Physics 2019-05-01 A. M. Mukhamedzhanov , A. S. Kadyrov

Differential Faddeev equations in total angular momentum representation are used for the first time to investigate ultra-low energy elastic scattering of a helium atom on a helium dimer. Six potential models of interatomic interaction are…

Atomic and Molecular Clusters · Physics 2009-11-07 V. A. Roudnev

We present in detail a theoretical model for fragmentation reactions of three--body halo nuclei. The different reaction mechanisms corresponding to the different processes are described and discussed. Coulomb and nuclear interactions are…

Nuclear Theory · Physics 2009-11-07 E. Garrido , D. V. Fedorov , A. S. Jensen

The cluster reduction method for the Yakubovsky equations in configuration space is used for calculations of zero-energy scattering in four-nucleon system. The main idea of the method consists in making use of expansions for the Yakubovsky…

Nuclear Theory · Physics 2008-02-03 S. L. Yakovlev , I. N. Filikhin

Three- and four-nucleon reactions are discussed. The focus is on the notion of nuclear potentials, on conceptual and technical issues of calculations and on unresolved problems between existing theoretical predictions and experimental data.…

Nuclear Theory · Physics 2011-04-28 Peter U. Sauer

$ $An experiment has been carried out for studying the cluster structure of $^9$Be induced by the $^3$He ions at the energy of 30 MeV. As results of the nuclear reaction $^3$He + $^9$Be the differential cross sections for the exit channels…