Differential Form of the Skornyakov--Ter-Martirosyan Equations
arXiv:physics/0507031 · doi:10.1103/PhysRevA.72.060702
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.
4 pages, 2 figures