Faddeev calculations for the Λ9Be spectrum

• Main Authors: Vlahovic B., Suslov V.M., Filikhin I.
• Format: Article
• Language: English
• Published: EDP Sciences 2010-04-01
• Series: EPJ Web of Conferences
• Online Access: http://dx.doi.org/10.1051/epjconf/20100307004

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.