Three-nucleon bound state calculations using the three dimensional formalism

Four-Body Bound State Calculations in Three-Dimensional Approach

The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing the partial wave decomposition. The obtained three-dimensional Faddeev-Yakubovsky integral equations are solved with two-body potentials. Results for four-bo...

A Realistic Formalism for 4 N Bound State in a Three - Dimensional Yakubovsky Scheme

A spin-isospin dependent Three-Dimensional formalism based on the momentum vectors for the four-nucleon bound state is presented. The four-nucleon Yakubovsky equations with twoand three-nucleon interactions are formulated as a function of the vector Jacobi momenta. Our formalism, according to the number of spin-isospin states that one takes into account, leads to only a strictly finite number o...

Three-nucleon bound states using realistic potential models

Numerical Implementation of Three-Body Forces in Bound State Faddeev Calculations in Three Dimensions

The Faddeev equations for the three-body bound state are solved directly as three-dimensional integral equations without employing partial wave decomposition. Two-body forces of the Mal iet-Tjon type and simple spin independent genuine three-body forces are considered for the calculation of the three-body binding energy.

Shell-model calculations for the three-nucleon system

We use Faddeev’s decomposition to solve the shell-model problem for three nucleons. The dependence on harmonic-oscillator excitations allowed in the model space, up to 32h̄Ω in the present calculations, and on the harmonicoscillator frequency is studied. Effective interactions derived from Nijmegen II and Reid93 potentials are used in the calculations. The binding energies obtained are close to ...