Low-lying resonances of Be: Faddeev calculation with Pade’-approximates
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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 8 August 21-26, 2006 Santos, SP, Brazil 9
description
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. - PowerPoint PPT Presentation
Transcript of 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
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Cluster model for of Be9
Experimental dataFrom Review “Spectroscopy of Λ hypernuclei” O. Hashimoto, H. Tamura, Progress in Particle and Nuclear Physics, 2006
FormalismMerkuriev S P and Faddeev L D 1993 Quantum Scattering Theory for Several Particle Systems (Dordrecht:Kluwer)
Faddeev equations in configuration space
2-4 nm
Formalism
(I Filikhin, V M Suslov, B Vlahovic,2005 J. Phys. G. 31 1207)
2-4 nm
Formalism
2-4 nm
Formalism
Model
potentialS. Ali, A. R. Bodmer Nucl. Phys. 80 (1966) 99potentia
l
Y. Kurihara, Y. Akaishi, H. Tanaka, Phys. Rev. C 84 (1985) 971.
C. Daskaloyannis, M. Grypeos, H. Nassena,Phys. Rev. C 26 (1982) 702.
Three-body potentialModel
MethodAnalytical continuation in aparameter (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 levelsCalculations:
Numerical results
Bound states
Numerical results
Bound states
Numerical results
Energies of low-lying resonance and virtual levelsCalculations:
Numerical Results Calculations:
Numerical Results Calculations:
Numerical ResultsLow-lying levels of system:calculation with the Gibson potential
Numerical results
Cal.1 - Yamada, K. Ikeda, H. Bando, Prog. Theor. Phys. 73 (1985) 397Cal.2 - our calculation with the Gibson potentialCal.3 - our calculation with the Isle potential Arrows - experimental data for K+) reaction
Numerical results
Cal.1 -- calculation with “minimal” orbital momentum configurationCal.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.
