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An important ingredient for applications of nuclear physics to e.g. astrophysics or nuclear energy are the cross sections for reactions of neutrons with rare isotopes. Since direct measurements are often not possible, indirect methods like…

Nuclear Theory · Physics 2016-08-03 Ch. Elster , L. Hlophe , V. Eremenko , F. M. Nunes , I. J. Thompson , G. Arbanas , J. E. Escher

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 characteristics of the four $^4$He atom cluster are investigated using the differential equations for Yakubovsky components. Binding energy, mean-square radius and density function are calculated for the ground state.The spatial…

Chemical Physics · Physics 2009-11-07 I. N. Filikhin , V. A. Roudnev , S. L. Yakovlev , B. Vlahovic

We construct a folding potential between the $\alpha$ and $\Lambda$ particles based on underlying nucleon-nucleon and hyperon-nucleon interactions. Starting from a phenomenological $\Lambda$-N potential and a Gaussian form of the…

Nuclear Theory · Physics 2022-08-09 Htun Htun Oo , Hiroyuki Kamada

We calculate the energy of the state closest to threshold for two and three identical, spinless particles confined to a cubic spatial volume with periodic boundary conditions and with zero total momentum in the finite-volume frame. The…

High Energy Physics - Lattice · Physics 2016-01-27 Maxwell T. Hansen , Stephen R. Sharpe

We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in the model space that includes up to 14 hbar Omega harmonic-oscillator excitations above the unperturbed ground state. Two- and three-body…

Nuclear Theory · Physics 2009-10-31 P. Navratil , B. R. Barrett

The approach of direct integration of the three-dimensional Faddeev equations with respect to the breakup T-matrix in momentum space for three bodies of different masses is presented. The Faddeev equations are written out explicitly without…

Quantum Physics · Physics 2025-02-03 Mikhail Egorov

The Faddeev-Yakubowski equations have been solved in configuration space for the four nucleons system. Results for bound and scattering states in the isospin and S-wave approximation for different (T,S) channels are presented. The n-t…

Nuclear Theory · Physics 2009-10-31 F. Ciesielski , J. Carbonell , C. Gignoux

A method is presented that allows to solve the Faddeev integral equations of the semirelativistic constituent quark model. In such a model the quark-quark interaction is modeled by a infinitely rising confining potential and the kinetic…

Nuclear Theory · Physics 2010-11-02 J. McEwen , J. Day , A. Gonzalez , Z. Papp , W. Plessas

In the past, several efficient methods have been developed to solve the Schroedinger equation for four-nucleon bound states accurately. These are the Faddeev-Yakubovsky, the coupled-rearrangement-channel Gaussian-basis variational, the…

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

The method of screening and renormalization is used to include the Coulomb interaction between the charged particles in the description of few-body nuclear reactions. Calculations are done in the framework of Faddeev-type equations in…

Nuclear Theory · Physics 2015-05-13 A. Deltuva

We present a method to integrate predictions from a theoretical model of a reaction with three bodies in the final state over the region of phase space covered by a given experiment. The method takes into account the true experimental…

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 inelastic neutral reaction of neutrino on 4He is calculated using two modern nucleon--nucleon potentials. Full final state interaction among the four nucleons is considered, via the Lorentz integral transform (LIT) method. The effective…

Nuclear Theory · Physics 2008-11-26 Doron Gazit , Nir Barnea

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

The relativistic wave function of $^3$He nucleus is calculated in the framework of Light-Front Dynamics. It is determined by 32 spin-isospin components, each of which depends on five scalar variables. For NN interaction, the one-boson…

Nuclear Theory · Physics 2026-02-03 Zhimin Zhu , Ziqi Zhang , Kaiyu Fu , V. A. Karmanov

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

A recently introduced separable pairing force for relativistic Hartree-Bogoliubov (RHB) calculations, adjusted in nuclear matter to the pairing gap of the Gogny force, is employed in the 3D RHB model for triaxial shapes. The pairing force…

Nuclear Theory · Physics 2014-11-20 T. Niksic , D. Vretenar , Y. Tian , Z. Y. Ma , P. Ring

The first ever numerical solution of five-body Faddeev-Yakubovsky equations is presented in this work. Modern realistic Nucleon-Nucleon Hamiltonians have been tested when describing low energy elastic neutron scattering on $^4$He nucleus.…

Nuclear Theory · Physics 2018-04-25 Rimantas Lazauskas