Abstract

A recently developed three-Dimensional (3D) approach, without Partial-Wave (PW) decomposition is considered to investigate solutions of Faddeev–Yakubovsky (F–Y) integral equations in momentum space representation. The F–Y formulation for six-nucleon bound-state problem leads to five coupled equations in terms of five independent structures, which can be reduced to two coupled ones for considering the effective interactions of the two loosely bound nucleons with respect to the α-core nucleus. In order to study, the effective structure of six-nucleon bound-state in 3D representation, the coupled equations are represented in momentum space as a two coupled 3D integral equations. This is the first step to approach the calculations, of six-nucleon bound-state problem in 3D approach. In our calculations, we considered simple potential models, namely spin-independent two-body (2B) interactions. Our numerical results are fair compatible with results of other methods.

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