Toward the Application of Three-Dimensional Approach to Few-body Atomic Bound States

Details Toward the Application of Three-Dimensional Approach to Few-body Atomic Bound States Toward the Application of Three-Dimensional Approach to Few-body Atomic Bound States

2010-01-11

arxiv.org/abs/1001.1535v1

EPJ Web Conf. 3:02010,2010

Physics

Atomic Physics

8 pages, 6 figures, 4 tables. Oral contribution to the 19th International IUPAP Conference on Few-Body Problems In Physics, 31

Scientific paper

10.1051/epjconf/20100302010

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.

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