Towards a three dimensional solution for 3N bound states with 3NFs

Abstract

After a brief discussion about the necessity of using the 3D approach, we present the non PW formalism for 3N bound state with the inclusion of 3N force (3NF). As an example the evaluation of 3NF matrix elements, which appear in the obtained coupled three dimensional integral equations, for $2\pi$-exchange Tucson-Melbourne 3NF show how would be this formalism efficient and less cumbersome in comparison with the PW formalism.

8 pages, this paper is based on an invited talk given at the Fourth Asia-Pacific Conference on Few-Body Problems in Physics 2008, Depok, Indonesia, August 19 - 23, 2008

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Cited by in corpus (3)

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