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.

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

References in corpus (19)

• Quantum Monte Carlo methods for nuclear physics
• Quantum Monte Carlo calculations of $A=9,10$ nuclei
• Unified ab initio approaches to nuclear structure and reactions
• Ab initio many-body calculations of nucleon-nucleus scattering
• Large basis ab initio shell model investigation of 9-Be and 11-Be
• Structure of the mirror nuclei ${}^9$Be and ${}^9$B in a microscopic cluster model
• Algebraic Model for scattering of three-s-cluster systems. II. Resonances in the three-cluster continuum of 6He and 6Be
• Algebraic Model for scattering in three-s-cluster systems. I. Theoretical Background
• How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Resonance parameters of the first 1/2+ state in 9Be and astrophysical implications
• ${}^4\mathrm{He}$+$n$+$n$ continuum within an ab initio framework
• Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
• Three-cluster dynamics within an ab initio framework
• The first excited states of 9Be and 9B
• The virtual-state character of the {9}^Be 1/2^+ state in the {9}^Be(γ,n){8}^Be reaction
• A Microscopic Cluster Description of 12C
• Photodisintegration cross section of ${}^9$Be up to 16 MeV in the $\alpha$ + $\alpha$ + n three-body model
• Properties of the first excited state of 9Be derived from (gamma,n) and (e,e') reactions
• Localization of shadow poles by complex scaling

Cited by in corpus (5)

• Two- and three-cluster decays of light nuclei with the hyperspherical harmonics
• Effects of the Coulomb interaction on parameters of resonance states in mirror three-cluster nuclei
• Systematic investigation of the Hoyle-analog states in light nuclei
• Second T = 3/2 state in ${}^9$B and the isobaric multiplet mass equation
• Structure of the ground and excited states in ${}_{\Lambda }^9$Be nucleus