Two- and three-cluster decays of light nuclei with the hyperspherical harmonics

Abstract

We consider a set of three-cluster systems (${}^4$He, ${}^7$Li, ${}^7$Be, ${}^8$Be, ${}^{10}$Be) within a microscopic model which involves the hyperspherical harmonics to represent intercluster motion. We selected such three-cluster systems which have at least one binary channel. Our aim is to study whether the hyperspherical harmonics are able and under what conditions to describe two-body channel(s) (nondemocratic motion) or they are suitable for describing three-cluster continuum only (democratic motion). It is demonstrated that a rather restricted number of the hyperspherical harmonics allows us to describe bound states and scattering states in two-body continuum for a three-cluster system.

18 pages, 19 figures, extended version of the paper, new figures and references added, submitted to Phys. Rev. C

References in corpus (3)

• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• A microscopic three-cluster model with nuclear polarization applied to the resonances of 7Be and the reaction 6Li(p,3He)4He
• Formation and decay of resonance state in ${}^9$Be and ${}^9$B nuclei. Microscopic three-cluster model investigations

Cited by in corpus (3)

• 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
• Properties of a potential energy matrix in oscillator basis