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Differential Form of the Skornyakov--Ter-Martirosyan Equations

F. M. Pen'kov, W. Sandhas

physics.atm-clusarXiv:physics/0507031

Abstract

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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