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arXiv · 1001.1535

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.

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M. R. Hadizadeh, L. Tomio. 2010-01-11. Toward the Application of Three-Dimensional Approach to Few-body Atomic Bound States. https://doi.org/10.1051/epjconf%2F20100302010

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