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Related papers: Operation of Faddeev-Kernel in Configuration Space

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The nonelastic breakup (NEB), one of channels in $(d,p)$ inclusive reactions, is studied using the Faddeev-type scattering theory. The NEB differential cross section is obtained in terms of the imaginary part of the neutron-nucleus optical…

Nuclear Theory · Physics 2025-10-20 A. Deltuva

Recently a formalism for a direct treatment of the Faddeev equation for the three-nucleon bound state in three dimensions has been proposed. It relies on an operator representation of the Faddeev component in the momentum space and leads to…

Nuclear Theory · Physics 2015-06-05 J. Golak , K. Topolnicki , R. Skibinski , W. Gloeckle , H. Kamada , A. Nogga

Algorithm, based on explicit representations for analytic continuation of the T-matrix Faddeev components on unphysical sheets, is worked out for calculations of resonances in the three-body quantum problem. According to the…

Nuclear Theory · Physics 2008-02-03 E. A. Kolganova , A. K. Motovilov

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

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

The complex Kohn variational principle and the (correlated) Hyperspherical Harmonics technique are applied to study the N--d scattering above the deuteron breakup threshold. The configuration with three outgoing nucleons is explicitly taken…

Nuclear Theory · Physics 2008-11-26 A. Kievsky , M. Viviani , S. Rosati

We shortly recall the derivation of the Faddeev-Yakubovsky differential equations and point out their main advantages. Then we give a review of the numerical approaches used to solve the bound-state and scattering problems for the three-…

Quantum Physics · Physics 2009-04-03 Alexander K. Motovilov

Background: The numerical solution of few-body scattering problems with realistic interactions is a difficult problem that normally must be solved on powerful supercomputers, taking a lot of computer time. This strongly limits the…

Nuclear Theory · Physics 2014-07-09 V. N. Pomerantsev , V. I. Kukulin , O. A. Rubtsova

We investigate the sensitivity of the non-exclusive nucleon induced deuteron breakup reaction to the three-nucleon interaction and distributions of three-nucleon force effects in inclusive spectra. To this end we solve the three-nucleon…

Nuclear Theory · Physics 2020-06-24 H. Witała , J. Golak , R. Skibiński , V. Soloviov , K. Topolnicki

A brief excursion into the three-body problem in quantum mechanics is presented for graduate students or researchers in nuclear physics. Starting from single-particle coordinates, the three-body Schr\"{o}dinger equation is systematically…

Nuclear Theory · Physics 2026-02-17 Emile Meoto

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

The neutron-deuteron (nd) scattering is solved in the Faddeev formalism, employing the energy-independent version of the quark-model baryon-baryon interaction fss2. The differential cross sections and the spin polarization of the elastic…

Nuclear Theory · Physics 2011-07-06 Kenji Fukukawa , Yoshikazu Fujiwara

Using the complex energy method, the problem of nucleon-deuteron scattering is solved with a simple three-body force having a separable form. Our results are compared with the results of modern direct two-variable calculations and a good…

Nuclear Theory · Physics 2012-07-03 Aye Mya Phyu , Hiroyuki Kamada , Jacek Golak , Htun Htun Oo , Henryk Witala , Walter Gloeckle

The equations which relate three-body and two-body symmetry violating scattering amplitudes are derived in the first order of symmetry violating interactions. They can be used to obtain three-body symmetry violating scattering amplitudes…

Nuclear Theory · Physics 2014-11-21 Vladimir Gudkov , Young-Ho Song

We discuss the general three-particle quantum scattering problem, for motion restricted to the full line. Specifically, we formulate the three-body problem in one dimension in terms of the (Faddeev-type) integral equation approach. As a…

Nuclear Theory · Physics 2007-05-23 T. Melde , L. Canton , J. P. Svenne

Relativistic Faddeev equations for three-body scattering at arbitrary energies are solved in first order in the two-body transition operator in terms of momentum vectors without employing a partial wave decomposition. Relativistic…

Nuclear Theory · Physics 2007-10-02 Ch. Elster , T. Lin , W. N. Polyzou , W. Gloeckle

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

Based on a three-potential formalism we propose mathematically well-behaved Faddeev-type integral equations for the atomic three-body problem and descibe their solutions in Coulomb-Sturmian space representation. Although the system contains…

Atomic Physics · Physics 2009-10-30 Z. Papp

The three-body scattering problem in Coulombic systems is widespread, however yet unresolved problem by the mathematically rigorous methods. In this work this long term challenge has been undertaken by combining distorted waves and…

Quantum Physics · Physics 2017-03-08 R. Lazauskas

\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