Resonances in three-body systems with short and long-range interactions

Details Resonances in three-body systems with short and long-range interactions Resonances in three-body systems with short and long-range interactions

2007-01-15

arxiv.org/abs/nucl-th/0701040v1

Nucl.Phys.A790:96-102,2007

Physics

Nuclear Physics

Nuclear Theory

invited talk at the 18th International Conference on Few-Body Problems in Physics, Santos-S.Paulo, August 21-26, 2006

Scientific paper

10.1016/j.nuclphysa.2007.03.033

The complex scaling method permits calculations of few-body resonances with the correct asymptotic behaviour using a simple box boundary condition at a sufficiently large distance. This is also valid for systems involving more than one charged particle. We first apply the method on two-body systems. Three-body systems are then investigated by use of the (complex scaled) hyperspheric adiabatic expansion method. The case of the 2$^+$ resonance in $^6$Be and $^6$Li is considered. Radial wave functions are obtained showing the correct asymptotic behaviour at intermediate values of the hyperradii, where wave functions can be computed fully numerically.

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