English

Differential Form of the Skornyakov--Ter-Martirosyan Equations

Atomic and Molecular Clusters 2009-11-11 v1 Atomic Physics

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.

Keywords

Cite

@article{arxiv.physics/0507031,
  title  = {Differential Form of the Skornyakov--Ter-Martirosyan Equations},
  author = {F. M. Pen'kov and W. Sandhas},
  journal= {arXiv preprint arXiv:physics/0507031},
  year   = {2009}
}

Comments

4 pages, 2 figures