Low-lying resonances of 9ΛBe: Faddeev calculation with Padé-approximants Original Research Article

Configuration space Faddeev equations are applied to describe the 9ΛBe hypernucleus in the ααΛ cluster model. For calculation of resonance state energies a variant of the method of analytical continuation in coupling constant is used. To realize this method, an auxiliary three-body potential is added to the Hamiltonian of the equations. A proper choice of strength parameter of the potential converts a resonance state into a bound state and an energy trajectory is obtained by variations of this parameter. To fulfill analytical continuation of this trajectory as a function of the strength parameter onto the complex plane, the Padé approximation is used. Spectrum of low-lying resonances is calculated with two αΛ phenomenological potentials. We predict existence of the 0+2 and 4+1 virtual states as well as the 2+2 resonance state near by the ααΛ threshold. The View the MathML source configuration for description of the 9ΛBe ground band is discussed.