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Low-lying resonances of Be: Faddeev calculation with Pade’-approximates

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 Be. Experimental data.

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Low-lying resonances of Be: Faddeev calculation with Pade’-approximates

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  1. 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

  2. Cluster model for of Be

  3. Experimental data From Review “Spectroscopy of Λ hypernuclei” O. Hashimoto, H. Tamura, Progress in Particle and Nuclear Physics, 2006

  4. Formalism Merkuriev S P and Faddeev L D 1993 Quantum Scattering Theory for Several Particle Systems (Dordrecht:Kluwer) Faddeev equations in configuration space

  5. Formalism (I Filikhin, V M Suslov, B Vlahovic, 2005J. Phys. G. 31 1207) 2-4 nm

  6. Formalism 2-4 nm

  7. Formalism 2-4 nm

  8. Model aa-potential S. Ali, A. R. Bodmer Nucl. Phys. 80 (1966) 99 aL-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.

  9. Model Three-body potential

  10. 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

  11. Numerical Results Energies of low-lying resonance and virtual levels Calculations:

  12. Numerical results Bound states

  13. Numerical results Bound states

  14. Numerical results Energies of low-lying resonance and virtual levels Calculations:

  15. Numerical Results Calculations:

  16. Numerical Results Calculations:

  17. Numerical Results Low-lying levels of aaL system:calculation with the Gibson potential

  18. 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

  19. Numerical results a+a+L Cal.1 -- calculation with “minimal” orbital momentum configuration Cal.2 – with “maximal” orbital momentum configuration

  20. 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.

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