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The structure of A=3 low-energy scattering states is described using the hyperspherical harmonics method with realistic Hamiltonian models, consisting of two- and three-nucleon interactions. Both coordinate and momentum space two-nucleon…

Nuclear Theory · Physics 2009-01-16 L. E. Marcucci , L. Girlanda , A. Kievsky , S. Rosati , M. Viviani

Three-body $AAB$ model for the $NN{\bar K}(s_{NN}=0)$ kaonic cluster is considered based on the configuration space Faddeev equations. Within a single-channel approach, the difference between masses of nucleons and kaons and the charge…

Nuclear Theory · Physics 2021-11-15 Igor Filikhin , Yury B. Kuzmichev , Branislav Vlahovic

Understanding hadronic interactions is crucial for investigating the properties of unstable hadrons, since measuring physical quantities for unstable hadrons including the resonance mass and decay width requires simultaneous calculations of…

High Energy Physics - Lattice · Physics 2015-03-31 Takeshi Yamazaki

The n-3H and p-3He elastic phase-shifts below the trinucleon disintegration thresholds are calculated by solving the 4-nucleon problem with three different realistic nucleon-nucleon interactions (the I-N3LO model by Entem and Machleidt, the…

Nuclear Theory · Physics 2015-05-30 M. Viviani , A. Deltuva , R. Lazauskas , J. Carbonell , A. C. Fonseca , A. Kievsky , L. E. Marcucci , S. Rosati

A spin-isospin dependent Three-Dimensional approach based on momentum vectors for formulation of the three-nucleon bound state is presented in this paper. The three-nucleon Faddeev equations with two-nucleon interactions are formulated as a…

Nuclear Theory · Physics 2008-11-26 S. Bayegan , M. R. Hadizadeh , M. Harzchi

Nuclei are prototypes of many-body open quantum systems. Complex aggregates of protons and neutrons that interact through forces arising from quantum chromo-dynamics, nuclei exhibit both bound and unbound states, which can be strongly…

Nuclear Theory · Physics 2015-06-04 S. Quaglioni , P. Navratil , R. Roth , W. Horiuchi

We propose a novel approach to solve the three-nucleon (3N) Faddeev equation which avoids the complicated singularity pattern going with the moving logarithmic singularities of the standard approach. In this new approach the treatment of…

Nuclear Theory · Physics 2008-11-26 H. Witala , W. Gloeckle

We investigate the influence of phenomenological three-nucleon interactions on the systematics of ground-state energies and charge radii throughout the whole nuclear mass range from 4-He to 208-Pb. The three-nucleon interactions supplement…

Nuclear Theory · Physics 2014-11-21 A. Günther , R. Roth , H. Hergert , S. Reinhardt

The relativistic three-nucleon problem is formulated by constructing a dynamical unitary representation of the Poincar\'e group on the three-nucleon Hilbert space. Two-body interactions are included that preserve the Poincar\'e symmetry,…

Nuclear Theory · Physics 2009-01-16 W. N. Polyzou , Ch. Elster , T. Lin , W. Glöckle

The recently developed method to solve the Faddeev equations in coordinate space is used to study the weakly bound halo nucleus, the hypertriton (Lambda + n + p). The long distances are treated carefully to achieve convergence and high…

Nuclear Theory · Physics 2008-11-26 A. Cobis , A. S. Jensen , D. V. Fedorov

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

A recently developed formulation for treating two- and three-nucleon bound states in a three-dimensional formulation based on spin-momentum operators is extended to nucleon-nucleon scattering. Here the nucleon-nucleon t-matrix is…

Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclear systems the $\chi^2$ per datum results to be much bigger than one. In particular it is not possible to reproduce the three- and four-nucleon binding…

Nuclear Theory · Physics 2015-05-20 A. Kievsky

The treatment of nuclear effects in neutrino-nucleus interactions is one of the main sources of systematic uncertainty for the analysis and interpretation of data of neutrino oscillation experiments. Neutrinos interact with nuclei via…

High Energy Physics - Phenomenology · Physics 2020-01-29 Carlotta Giusti , Martin V. Ivanov

Three-neutron resonances are investigated using realistic nucleon-nucleon interaction models. The resonance pole trajectories are explored by first adding an additional interaction to artificially bind the three-neutron system and then…

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

In the present work, which aims at searching for bound sates, the interactions of the $D$-multi-$\rho$ systems are investigated by means of the formalism of the fixed-center-approximation to Faddeev equations. Reproducing the states of $f_2…

High Energy Physics - Phenomenology · Physics 2017-09-20 C. W. Xiao

This paper investigates the possible use of the Hyperspherical Adiabatic basis in the description of scattering states of a three-body system. In particular, we analyze a 1+2 collision process below the three-body breakup. The convergence…

Nuclear Theory · Physics 2009-03-24 P. Barletta , A. Kievsky

Exploratory simulations of four-nucleon interactions are performed taking into account the dynamical effects of internal nucleon loops. The four-nucleon interactions in the isoscalar and isovector channels are described by Yukawa…

High Energy Physics - Lattice · Physics 2012-11-01 Istvan Montvay

We aim to describe the cluster states of nuclear systems starting with a realistic interaction, which is a challenge of modern nuclear theories. Here, the short-range correlation of realistic interaction is treated by employing the damping…

Nuclear Theory · Physics 2020-03-20 Naoyuki Itagaki , Tokuro Fukui , Akihiro Tohsaki

Four-body equations in momentum space are solved for neutron-$\He$, proton-$\Hh$, and deuteron-deuteron scattering; all three reactions are coupled. The Coulomb interaction between the protons is included using the screening and…

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