M. R. Hadizadeh

Four-Body Bound-State Calculations in Three-Dimensional Approach

Abstract.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 spin-independent and spin-averaged potentials. This is the first step toward the calculations of the four-nucleon bound-state problem in three-dimensional approach. Results for four-body binding energies are in good agreement with achievements of the other methods.

Three-nucleon bound state in a spin-isospin dependent three dimensional approach

A spin-isospin-dependent three-dimensional approach based on momentum vectors for formulation of the three-nucleon bound state is presented in this article. 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.

Solutions of the bound-state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models

A recently developed three-dimensional approach (without partial-wave decomposition) is considered to investigate solutions of Faddeev-Yakubovsky integral equations in momentum space for three- and four-body bound states, with the inclusion of three-body forces. In the calculations of the binding energies, spin-dependent nucleon-nucleon (NN) potential models [soft-core potential S3, Malfliet-Tjon (MT) I-III, Yamaguchi-type potentials (YS), and P{sub 5.5}-model of Gibson-Lehman (P{sub 55}GL)] are considered along with the scalar two-meson exchange three-body potential. The presently reported results agree well with the ones obtained by other techniques, demonstrating the advantage of an approach in which the formalism is much more simplified and easy to manage for direct computation.

Binding and structure of tetramers in the scaling limit

The momentum-space structure of the Faddeev-Yakubovsky (FY) components of weakly bound tetramers is investigated at the unitary limit using a renormalized zero-range two-body interaction. The results, obtained by considering a given trimer level with binding energy

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

{B}_{3}

Bound-state calculations of the three-dimensional Yakubovsky equations with the inclusion of three-body forces

, provide further support to a universal scaling function relating the binding energies of two successive tetramer states. The correlated scaling between the tetramer energies comes from the sensitivity of the four-boson system to a short-range four-body scale. Each excited

Three dimensional calculations of NN bound and scattering states with a chiral potential up to N{sup 3}LO

N

Low-momentum effective interaction in the three-dimensional approach

th tetramer energy

Universality in Four-Boson Systems

{B}_{4}^{(N)}

A realistic three-dimensional calculation of the 3H binding energy

moves as the short-range four-body scale changes, while the trimer properties are kept fixed, with the next excited tetramer