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FIZIKA B 20 (2011) 3, 189-202
 
SPIN-FLIP DOUBLETS OF 9Be SPECTRUM WITHIN A CLUSTER MODEL
I. FILIKHIN, V. M. SUSLOV and B. VLAHOVIÆ
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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