Projected Faddeev-Yakubovsky equations for the N-body problem

Nir Barnea, Michele Viviani

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Cluster expansion of the many-body Schrödinger wave function is manifested through the projected Faddeev-Yakubovsky equations. It is shown that using these equations one can formulate a systematic expansion for the wave function of finite systems in a translational invariant manner. The solution of the N-body problem at a given order becomes equivalent to solving the few-body Faddeev-Yakubovsky equations. The first two orders in this expansion are given explicitly and then solved for the case of N bosons interacting through the nucleon-nucleon Afnan-Tang S3 and Malfliet-Tjon MT-V potentials.

Original languageAmerican English
Pages (from-to)9
Number of pages1
JournalPhysical Review C - Nuclear Physics
Issue number3
StatePublished - 2000
Externally publishedYes


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