Low-lying resonances of Be9Lambda : Faddeev calculation with Pade-approximants

Configuration space Faddeev equations are applied to describe the Be9Lambda low-lying resonances of the ground band in the alpha+alpha+Lambda cluster model. The method of analytical continuation in coupling constant is used.Comment: 4 pages, 3 Postscript figures, Talk at the 18th International IUPAP Conference on Few-Body Problems in Physics, Aug. 21-26, 2006, Santos, Brazi

Integral equations for three-body Coulombic resonances

We propose a novel method for calculating resonances in three-body Coulombic systems. The method is based on the solution of the set of Faddeev and Lippmann-Schwinger integral equations, which are designed for solving the three-body Coulomb problem. The resonances of the three-body system are defined as the complex-energy solutions of the homogeneous Faddeev integral equations. We show how the kernels of the integral equations should be continued analytically in order that we get resonances. As a numerical illustration a toy model for the three-$\alpha$ system is solved.Comment: 9 pages, 1 EPS figur