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9 Low-lying resonances of Be: Faddeev calculation with Pade’-approximates B. Vlahovic, V. Suslov, I. Filikhin, Department of Physics, North Carolina Central University, Durham, NC 27707, USA FB18 August 21-26, 2006 Santos, SP, Brazil Cluster model for of 9 Be Experimental data From Review “Spectroscopy of Λ hypernuclei” O. Hashimoto, H. Tamura, Progress in Particle and Nuclear Physics, 2006 Formalism Merkuriev S P and Faddeev L D 1993 Quantum Scattering Theory for Several Particle Systems (Dordrecht:Kluwer) Faddeev equations in configuration space Formalism (I Filikhin, V M Suslov, B Vlahovic, 2005 J. Phys. G. 31 1207) 2-4 nm Formalism 2-4 nm Formalism 2-4 nm Model aa-potential S. Ali, A. R. Bodmer Nucl. Phys. 80 (1966) 99 a-potential Y. Kurihara, Y. Akaishi, H. Tanaka, Phys. Rev. C 84 (1985) 971. C. Daskaloyannis, M. Grypeos, H. Nassena,Phys. Rev. C 26 (1982) 702. Model Three-body potential Method Analytical continuation in a parameter (coupling constant) of additional three-body potential Kukulin V. I., Krasnopol’sky V. M. and Horacek J. Theory of Resonances (Kluwer, Dordrecht) 1989 Numerical Results Energies of low-lying resonance and virtual levels Calculations: Numerical results Bound states Numerical results Bound states Numerical results Energies of low-lying resonance and virtual levels Calculations: Numerical Results Calculations: Numerical Results Calculations: Numerical Results Low-lying levels of aa system:calculation with the Gibson potential Numerical results Cal.1 - Yamada, K. Ikeda, H. Bando, Prog. Theor. Phys. 73 (1985) 397 Cal.2 - our calculation with the Gibson potential Cal.3 - our calculation with the Isle potential Arrows - experimental data for (p+,K+) reaction Numerical results a+a+ Cal.1 -- calculation with “minimal” orbital momentum configuration Cal.2 – with “maximal” orbital momentum configuration Conclusion Configuration space Faddeev equations have been applied to study the 9Lambda Be hypernucleus in the alpha-alpha-Lambda cluster model with phenomenological pair potentials. The method of analytical continuation in coupling constant was successfully applied to estimate spectrum of low-lying resonances. The calculations with the Gibson alpha-Lambda potential have qualitative agreement with the (pi+,K+) data. We predict 2+ resonance state close to the alpha+alpha+Lambda threshold. We also found the 0+ and 4+ virtual states formed by the (alpha+Lambda)+alpha configuration.