Lowlying resonances of Be: Faddeev calculation with Pade’approximates
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Lowlying resonances of Be: Faddeev calculation with Padeapproximates
B. Vlahovic, V. Suslov, I. Filikhin, Department of Physics, North Carolina Central University, Durham, NC 27707, USAFB18 August 2126, 2006 Santos, SP, Brazil

Cluster model for of Be

Experimental dataFrom Review Spectroscopy of 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

24 nmFormalism(I Filikhin, V M Suslov, B Vlahovic,2005 J. Phys. G. 31 1207)

24 nmFormalism

24 nmFormalism

aapotentialModelS. Ali, A. R. Bodmer Nucl. Phys. 80 (1966) 99
aLpotentialY. Kurihara, Y. Akaishi, H. Tanaka, Phys. Rev. C 84 (1985) 971.C. Daskaloyannis, M. Grypeos, H. Nassena,Phys. Rev. C 26 (1982) 702.

Threebody potentialModel

MethodAnalytical continuation in aparameter (coupling constant) of additional threebody potentialKukulin V. I., Krasnopolsky V. M. and Horacek J. Theory of Resonances (Kluwer, Dordrecht) 1989

Numerical Results Energies of lowlying resonance and virtual levelsCalculations:

Numerical resultsBound states

Numerical resultsBound states

Numerical resultsEnergies of lowlying resonance and virtual levelsCalculations:

Numerical Results Calculations:

Numerical Results Calculations:

Numerical ResultsLowlying levels of aaL system:calculation with the Gibson potential

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

Numerical resultsCal.1  calculation with minimal orbital momentum configurationCal.2 with maximal orbital momentum configuration
a+a+L

ConclusionConfiguration space Faddeev equations have been applied to study the 9Lambda Be hypernucleus in the alphaalphaLambda cluster model with phenomenological pair potentials. The method of analytical continuation in coupling constant was successfully applied to estimate spectrum of lowlying resonances. The calculations with the Gibson alphaLambda 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.