FIZIKA B 20 (2011) 3, 189202
SPINFLIP DOUBLETS OF ^{9}Be 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 ^{9}Be lowlying 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 spinflip doublet corresponding
to the total orbital momentum (L^{π}=0^{+}, 2^{+},4^{+}, 1^{−}, 2^{−},3^{−}, 4^{−})
of the system. The AliBodmer 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 swave components of these potentials.
Configurationspace Faddeev equations are used to calculate the energy
of the bound state (E_{calc}=−1.493 MeV vs. E_{exp}=−1.5735 MeV)
and resonances. A variant of the method of analytical continuation
in the coupling constant is applied to calculate energies of the
lowlying levels. Available ^{9}Be 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: fewbody systems, cluster models, hypernuclei
