Model Study of Three-Body Forces in the Three-Body Bound State

Abstract

The Faddeev equations for the three-body bound state with two- and three-body forces are solved directly as three-dimensional integral equation. The numerical feasibility and stability of the algorithm, which does not employ partial wave decomposition is demonstrated. The three-body binding energy and the full wave function are calculated with Malfliet-Tjon-type two-body potentials and scalar Fujita-Miyazawa type three-body forces. The influence of the strength and range of the three-body force on the wave function, single particle momentum distributions and the two-body correlation functions are studied in detail. The extreme case of pure three-body forces is investigated as well.

25 pages, 15 postscript figures

Cited by in corpus (19)

• Three-Body Scattering at Intermediate Energies
• Four-Body Bound State Calculations in Three-Dimensional Approach
• Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Poincaré Invariant Three-Body Scattering at Intermediate Energies
• Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate Energies
• Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models
• The Operator form of 3H (3He) and its Spin Structure
• Faddeev and Glauber Calculations at Intermediate Energies in a Model for n+d Scattering
• Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces
• A New Treatment of 2N and 3N Bound States in Three Dimensions
• A Realistic Three-Dimensional Calculation of 3H Binding Energy
• Low-momentum effective interaction in the three-dimensional approach
• 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
• The Relativistic Three-Body Bound State in Three-Dimensions
• Towards a three dimensional solution for 3N bound states with 3NFs
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• 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]