Faddeev calculations for the Λ9Be spectrum
North Carolina Central University, Durham, NC, 27707, USA
2 Saint-Petersburg State University, Petrodvorets, St. Petersburg, Russia
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An α-cluster model is applied to study low-lying spectrum of the Λ9Be hypernicleus. The ααΛ three-body problem is numerically solved by the Faddeev equations in conﬁguration space using phenomenological pair potentials. Found is a set of the potentials that reproduces experimental data for the ground state (1+/2) binding energy and excitation energy of the 5+/2 and 3+/2 states, simultaneously. This set includes the Ali-Bodmer potential of version “e” for αα and modiﬁed Tang-Herndon potential for αΛ interactions. The spin-orbit αΛ interaction is given by modiﬁed Scheerbaum potential. Low-lying energy levels are evaluated applying a variant of the analytical continuation method in coupling constant, and the experimental data for excitation energies are well reproduced by our calculations. This result improves previous α-cluster calculations. It is shown that the spectral properties of Λ9Be can be classiﬁed as an analog of 9Be spectrum with the exception of several “genuine hypernuclear states”, which agrees qualitatively with previous studies. The energy splitting of spin-ﬂip doublet (9+/2 , 7+/2) is predicted.
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