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The four-body equations of Alt, Grassberger and Sandhas are solved for $\nH$ scattering at energies below three-body breakup threshold using various realistic interactions including one derived from chiral perturbation theory. After partial…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca

Deuteron-deuteron elastic scattering and transfer reactions in the energy regime above four-nucleon breakup threshold are described by solving exact four-particle equations for transition operators. Several realistic nuclear interaction…

Nuclear Theory · Physics 2015-02-09 A. Deltuva , A. C. Fonseca

The effects of components in an assumed model interaction potential, as well as of the order to which its deformation is taken, upon resonances in the low-energy cross sections and upon sub-threshold bound states of the compound nucleus…

Nuclear Theory · Physics 2007-05-23 K Amos , L. Canton , G. Pisent , J. P. Svenne , D van der Knijff

The calculations of three-body direct nuclear reactions with nonlocal optical potentials are performed for the first time using the framework of Faddeev-type scattering equations. Important nonlocality effect is found for transfer reactions…

Nuclear Theory · Physics 2009-03-04 A. Deltuva

The problem of calculating the four--nucleon bound state properties for the case of realistic two- and three-body nuclear potentials is studied using the hyperspherical harmonic (HH) approach. A careful analysis of the convergence of…

Nuclear Theory · Physics 2009-11-10 M. Viviani , A. Kievsky , S. Rosati

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

The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of a mixed-mode shell-model scheme. The method combines low-lying ``pure mode'' states of a system to achieve a better description in situations where…

Nuclear Theory · Physics 2007-05-23 V. G. Gueorguiev , J. P. Draayer

We study the stability of the nuclear matter in a non-local Nambu-Jona-Lasinio model. We work out the equation of state in a relativistic Faddeev approach where we take into account the internal structure of nucleon. We show that the…

Nuclear Theory · Physics 2007-05-23 Amir H. Rezaeian , Hans-Juergen Pirner

The four-body equations of Alt, Grassberger and Sandhas are solved for the neutron-${}^3$H scattering at energies above the four-nucleon breakup threshold. The accuracy and practical applicability of the employed complex energy method is…

Nuclear Theory · Physics 2012-11-13 A. Deltuva , A. C. Fonseca

The formalism to describe electron scattering reactions on two-neutron halo nuclei is developed. The halo nucleus is described as a three-body system (core+n+n), and the wave function is obtained by solving the Faddeev equations in…

Nuclear Theory · Physics 2009-10-31 E. Garrido , E. Moya de Guerra

On the basis of the Faddeev integral equations method and the Watson- Feshbach concept of the effective (optical) interaction potential, the first fully consistent three-body approach to the description of the penetration of a charged…

Nuclear Theory · Physics 2016-09-08 V. F. Kharchenko , A. V. Kharchenko

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 role of three-nucleon forces in ab initio calculations of nuclear systems is investigated. The difference between genuine and induced many-nucleon forces is emphasized. Induced forces arise in the process of solving the nuclear…

Nuclear Theory · Physics 2015-06-22 Peter U. Sauer

Theoretical predictions for the nucleon induced deuteron breakup process based on solutions of the three-nucleon Faddeev equation including such relativistic features as the relativistic kinematics and boost effects are presented. Large…

Nuclear Theory · Physics 2009-11-11 H. Witala , J. Golak , R. Skibinski

Given the phenomenological success of the Nambu-Jona-Lasinio model in describing the meson physics in the low energy limit, it is tempting to find the fully relativistically structured nucleon solution in the same model under the similar…

High Energy Physics - Phenomenology · Physics 2008-11-26 Suzhou Huang , John Tjon

A new method for constructing a Hamiltonian for configuration interaction calculations with constraints to energies of spherical configurations obtained with energy-density-functional (EDF) methods is presented. This results in a unified…

Nuclear Theory · Physics 2011-01-04 B. Alex Brown , Angelo Signoracci , Morten Hjorth-Jensen

An ab-initio description of atomic nuclei that solves the nuclear many-body problem for realistic nuclear forces is expected to possess a high degree of predictive power. In this contribution we treat the main obstacle, namely the…

Nuclear Theory · Physics 2017-08-23 Hans Feldmeier , Thomas Neff , Robert Roth

A problem of collisions of atoms with two-channel zero-range interaction in an atomic waveguide is solved by using of a renormalization procedure. A matching of the solution to a solution of the related one-dimensional problem leads to…

Statistical Mechanics · Physics 2007-05-23 V. A. Yurovsky

The hyperspherical harmonic (HH) method has been widely applied in recent times to the study of the bound states, using the Rayleigh-Ritz variational principle, and of low-energy scattering processes, using the Kohn variational principle,…

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

Nucleon self-energies and interaction potentials in supernova (SN) matter, which are known to have an important effect on nucleosynthesis conditions in SN ejecta are investigated. Corresponding weak charged-current interaction rates with…

Nuclear Theory · Physics 2015-05-22 Matthias Hempel