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Faddeev-Yakubovski equations in configuration space are used to solve four nucleon problem for bound and scattering states. Different realistic interaction models are tested, elucidating open problems in nuclear interaction description. On…

Nuclear Theory · Physics 2009-11-11 R. Lazauskas , J. Carbonell

We solve the Faddeev-Yakubovsky equations for 3N and 4N bound states based on the most modern realistic nucleon-nucleon interactions. We include different realistic 3N forces. It is shown that all 3N force models can remove the underbinding…

Nuclear Theory · Physics 2009-11-06 A. Nogga , H. Kamada , W. Gloeckle

The Faddeev-Yakubovski equations are solved in configuration space for low energy four-nucleon continuum states. Coulomb interaction was included into the formalism permitting an exact description of the scattering states in p+$^{3}$He and…

Nuclear Theory · Physics 2007-05-23 R. Lazauskas , J. Carbonell

The possible existence of four-neutron resonances close to the physical energy region is explored. Faddeev-Yakubovsky equations have been solved in configuration space using realistic nucleon-nucleon interaction models. Complex Scaling and…

Nuclear Theory · Physics 2007-05-23 R. Lazauskas , J. Carbonell

The Faddeev-Yakubovsky equations for the alpha-particle are solved. Accurate results are obtained for several modern NN interaction models, which include charge-symmetry breaking effects in the NN force, nucleon mass dependences as well as…

Nuclear Theory · Physics 2008-11-26 A. Nogga , H. Kamada , W. Gloeckle , B. R. Barrett

The Faddeev-Yakubowsky equations in configuration space have been solved for the four nucleon system. The results with an S-wave interaction model in the isospin approximation are presented. They concern the bound and scattering states…

Nuclear Theory · Physics 2008-11-26 F. Ciesielski , J. Carbonell

The Faddeev Yakubovsky equations constitute a rigorous formulation of the quantum mechanical N body problem in the framework of non relativistic dynamics. They allow the exact solutions of the Schrodinger equation for bound and scattering…

Nuclear Theory · Physics 2020-02-17 Rimantas Lazauskas , Jaume Carbonell

A recently developed three-dimensional approach (without partial-wave decomposition) is considered to investigate solutions of Faddeev-Yakubovsky integral equations in momentum space for three- and four-body bound states, with the inclusion…

Nuclear Theory · Physics 2011-07-08 M. R. Hadizadeh , Lauro Tomio , S. Bayegan

The Faddeev-Yakubovsky equations in configuration space have been solved for the four nucleon system with special interest in their scattering states. We present results concerning the structure of the first $^4$He, scattering states in…

Nuclear Theory · Physics 2007-05-23 J. Carbonell

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

The recent calculation of the four nucleon continuum spectrum are reviewed. Faddeev-Yakubovsky equations in configuration space have been solved for the four nucleon system with special interest in their scattering states. We present…

Nuclear Theory · Physics 2009-11-07 J. Carbonell

Evidence for particle stability of Lambda-Lambda hydrogen-4 (4LLH) has been suggested by the BNL-AGS E906 experiment. We report on Faddeev-Yakubovsky calculations for the four-body Lambda-Lambda-p-n system using Lambda-N interactions which…

Nuclear Theory · Physics 2009-11-07 I. N. Filikhin , A. Gal

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

In this paper, we have solved a simple specific model of the five-body problem in the framework of the Yakubovsky equations, restricted to the configurations of the alpha-nucleon types only, to investigate the effective interaction between…

Nuclear Theory · Physics 2018-09-12 E. Ahmadi Pouya , A. A. Rajabi

We briefly summarize the main steps leading to the Faddeev-Yakubovsky equations in configuration space for N=3, 4 and 5 interacting particles.

Quantum Physics · Physics 2019-10-23 Rimantas Lazauskas , Jaume Carbonell

We present microscopic calculations of low energy scattering observables in all possible four nucleon systems : n-3H, p-3He and p-3H. Results were obtained by solving Faddeev-Yakubovski equations in configuration space, appropriately…

Nuclear Theory · Physics 2007-05-23 R. Lazauskas , J. Carbonell

In this project, we have investigated the 5-nucleon model system in the picture of the specific alpha-state structure, by extending the Yakubovsky scheme with the inclusion of the spin and isospin degrees of freedom. The Yakubovsky…

Nuclear Theory · Physics 2018-09-06 E. Ahmadi Pouya , A. A. Rajabi

A method has been developed to solve three-particle Faddeev equations in the configuration space making use of a series expansion in hyperspherical harmonics. The following parameters of the bound state of triton and helium-3 nuclei have…

Nuclear Theory · Physics 2016-03-22 V. I. Kovalchuk

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 Faddeev-Yakubovsky equations have been solved in configuration space for the four nucleon system. The n+t elastic cross section has been calculated using several realistic interactions and a phenomenological three-nucleon force. Special…

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