FIZIKA B 20 (2011) 3, 189-202

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SPIN-FLIP DOUBLETS OF 9Be SPECTRUM WITHIN A CLUSTER MODEL

I. FILIKHIN, V. M. SUSLOV and B. VLAHOVI∆
Department of Physics, North Carolina Central University, Durham, NC 27707, U. S. A.

Received 12 July 2011;    Accepted 16 November 2011
Online 27 January 2012

The structure of the 9Be low-lying spectrum is studied within the cluster model α+α+n. In the model, the total orbital momentum is fixed for each energy level. Thus each level is determined as a member of the spin-flip doublet corresponding to the total orbital momentum (Lπ=0+, 2+,4+, 1, 2,3, 4) of the system. The Ali-Bodmer potential (model E) is applied for the αα interaction. We employ a local αn potential which was constructed to reproduce the α−n scattering data. The Pauli blocking is simulated by the repulsive core of the s-wave components of these potentials. Configuration-space Faddeev equations are used to calculate the energy of the bound state (Ecalc=−1.493 MeV vs. Eexp=−1.5735 MeV) and resonances. A variant of the method of analytical continuation in the coupling constant is applied to calculate energies of the low-lying levels. Available 9Be spectral data are satisfactorily reproduced by the proposed model.

PACS numbers: 21.45.-v, 21.60.Gx, 21.80.+a
UDC 539.142, 539.144

Keywords: few-body systems, cluster models, hypernuclei

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