Formation and decay of resonance state in ${}^9$Be and ${}^9$B nuclei. Microscopic three-cluster model investigations

Abstract

We study nature of the low-lying resonance states in mirror nuclei ${}^9$Be and ${}^9$B. Investigations are performed within a three-cluster model. The model makes use of the hyperspherical harmonics, which provides convenient description of three-cluster continuum. The dominant three-cluster configurations $\alpha +\alpha +n$ and $\alpha +\alpha +p$ in ${}^9$Be and ${}^9$B, respectively, are taken into account. Dominant decay channels for all resonance states in ${}^9$Be and ${}^9$B are explored. Much attention is paid to the controversial $1/2^{+}$ resonance states in both nuclei. We study effects of the Coulomb interaction on energy and width of three-cluster resonances in the mirror nuclei ${}^9$Be and ${}^9$B. We also search for the Hoyle-analogue state which is a key step for alternative way of ${}^9$Be and ${}^9$B syntheses in a triple collision of clusters in a stellar environment.

Comments: 17 pages, 16 figures, submitted to Phys. Rev. C