Toward the Application of Three-Dimensional Approach to Few-body Atomic Bound States
Abstract
The first step toward the application of an effective non partial wave (PW) numerical approach to few-body atomic bound states has been taken. The two-body transition amplitude which appears in the kernel of three-dimensional Faddeev-Yakubovsky integral equations is calculated as function of two-body Jacobi momentum vectors, i.e. as a function of the magnitude of initial and final momentum vectors and the angle between them. For numerical calculation the realistic interatomic interactions HFDHE2, HFD-B, LM2M2 and TTY are used. The angular and momentum dependence of the fully off-shell transition amplitude is studied at negative energies. It has been numerically shown that, similar to the nuclear case, the transition amplitude exhibits a characteristic angular behavior in the vicinity of 4He dimer pole.
Keywords
Cite
@article{arxiv.1001.1535,
title = {Toward the Application of Three-Dimensional Approach to Few-body Atomic Bound States},
author = {M. R. Hadizadeh and L. Tomio},
journal= {arXiv preprint arXiv:1001.1535},
year = {2010}
}
Comments
8 pages, 6 figures, 4 tables. Oral contribution to the 19th International IUPAP Conference on Few-Body Problems In Physics, 31 Aug-5 Sep 2009, Bonn, Germany