Cluster calculations for the ^6He and ^9Be spectra

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The ^6He and ^9Be nuclei are considered as a mirror cluster systems αnn and ααn. The excitation energies of the low-lying levels for ^6He and ^9Be nuclei are evaluated. These cluster calculations are based on the configuration-space Faddeev equations. The method of analytical continuation in a coupling constant is used to calculate resonance parameters [1]. Our goal is to show possibility for a reliable description of the ^6He and ^9Be within the cluster model using pair local potentials. We focus on the new αn interaction model proposed in [1]. We assume that both, central p-wave component and spin-orbital component of αn potential mainly determine the excitation spectra structure of these nuclei. The low-lying spectrum of ^9Be is well reproduced with this potential. The results for excitation resonance energies of the αnn(0+,2+,1+) systems are presented and compared with the experimental data (http://www.tunl.duke.edu/nucldata/chain/06.shtml) and those from other calculations [2]. [4pt] [1] I. Filikhin, V.M. Suslov and B. Vlahovic, Few-Body Systems 50, 255 (2011). [0pt] [2] S.N. Ershov, T. Rogde, B.V. Danilin, J.S. Vaagen, I.J. Thompson, F.A. Gareev, Phys. Rev. C 56, 1483 (1997).

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