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. 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
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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, USAFB18 August 21-26, 2006 Santos, SP, Brazil
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Cluster model for of Be
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Experimental dataFrom Review Spectroscopy of hypernuclei O. Hashimoto, H. Tamura, Progress in Particle and Nuclear Physics, 2006
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FormalismMerkuriev S P and Faddeev L D 1993 Quantum Scattering Theory for Several Particle Systems (Dordrecht:Kluwer)Faddeev equations in configuration space
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2-4 nmFormalism(I Filikhin, V M Suslov, B Vlahovic,2005 J. Phys. G. 31 1207)
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2-4 nmFormalism
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2-4 nmFormalism
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aa-potentialModelS. Ali, A. R. Bodmer Nucl. Phys. 80 (1966) 99
aL-potentialY. Kurihara, Y. Akaishi, H. Tanaka, Phys. Rev. C 84 (1985) 971.C. Daskaloyannis, M. Grypeos, H. Nassena,Phys. Rev. C 26 (1982) 702.
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Three-body potentialModel
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MethodAnalytical continuation in aparameter (coupling constant) of additional three-body potentialKukulin V. I., Krasnopolsky V. M. and Horacek J. Theory of Resonances (Kluwer, Dordrecht) 1989
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Numerical Results Energies of low-lying resonance and virtual levelsCalculations:
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Numerical resultsBound states
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Numerical resultsBound states
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Numerical resultsEnergies of low-lying resonance and virtual levelsCalculations:
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Numerical Results Calculations:
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Numerical Results Calculations:
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Numerical ResultsLow-lying levels of aaL system:calculation with the Gibson potential
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Numerical resultsCal.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 (p+,K+) reaction
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Numerical resultsCal.1 -- calculation with minimal orbital momentum configurationCal.2 with maximal orbital momentum configuration
a+a+L
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ConclusionConfiguration 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.
