Toward the Application of Three-Dimensional Approach to Few-body Atomic Bound States
Instituto de Física Teórica (IFT), Universidade Estadual
Paulista (UNESP), Barra Funda, 01140-070, São Paulo,
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.
© Owned by the authors, published by EDP Sciences, 2010