Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach

Abstract

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 function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angle between them with the inclusion of the spin-isospin quantum numbers, without employing a partial wave decomposition. As an application the spin-isospin dependent Faddeev integral equations are solved with Bonn-B potential. Our result for the Triton binding energy with the value of -8.152 MeV is in good agreement with the achievements of the other partial wave based methods.

24 pages, 1 figure, 7 tables. Major changes; version to appear in Physical Review C

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Cited by in corpus (23)

• A new way to perform partial wave decompositions of few-nucleon forces
• The Two-Nucleon System in Three Dimensions
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models
• A Three-Dimensional Treatment of the Three-Nucleon Bound State
• A New Treatment of 2N and 3N Bound States in Three Dimensions
• Different Methods for the Two-Nucleon T-Matrix in the Operator Form
• Trion clustering structure and binding energy in 2D semiconductor materials: Faddeev equations approach
• The three dimensional calculations of NN bound and scattering states with chiral potential up to N3LO
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
• A Realistic Three-Dimensional Calculation of 3H Binding Energy
• Low-momentum effective interaction in the three-dimensional approach
• A Spin-Isospin Dependent 3N Scattering Formalism in a 3D Faddeev Scheme
• Three-Body Bound State Calculations by Using Three-Dimensional Low Momentum Interaction $V_{low-k}$
• Triton photodisintegration in three-dimensional approach
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• Towards a three dimensional solution for 3N bound states with 3NFs
• Relativistic Faddeev 3D Equations for Three-Body Bound States Without Two-Body $t-$Matrices
• 3H and 3He calculations without angular momentum decomposition
• Four-body bound states in momentum space: the Yakubovsky approach without two-body $t-$matrices
• Comment on "Three-dimensional study of the six-body bound-state for the case of effective three-body configuration model" [Int. J. Mod. Phys. E 25, 9 (2016) 1650072]
• Numerical study of the two-boson bound-state problem with and without partial-wave decomposition