Differential Form of the Skornyakov--Ter-Martirosyan Equations

Details Differential Form of the Skornyakov--Ter-Martirosyan Equations Differential Form of the Skornyakov--Ter-Martirosyan Equations

2005-07-05

arxiv.org/abs/physics/0507031v1

Physics

Atomic and Molecular Clusters

4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.72.060702

The Skornyakov--Ter-Martirosyan three-boson integral equations in momentum space are transformed into differential equations. This allows us to take into account quite directly the Danilov condition providing self-adjointness of the underlying three-body Hamiltonian with zero-range pair interactions. For the helium trimer the numerical solutions of the resulting differential equations are compared with those of the Faddeev-type AGS equations.

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