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

Abstract

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 (named, S${}_3$, MT-I/III, YS-type and P${}_{5.5}$GL) are considered along with the scalar two-meson exchange three-body potential. Good agreement of the presently reported results with the ones obtained by other techniques are obtained, demonstrating the advantage of an approach in which the formalism is much more simplified and easy to manage for direct computation.

16 pages, 1 figure and 6 tables; to appear in Physical review C

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• Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate Energies
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• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• 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]