English

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

Nuclear Theory 2018-06-13 v3

Abstract

We consider a set of three-cluster systems (4^{4}He, 7^{7}Li, 7^{7}Be, 8^{8}Be, 10^{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.

Keywords

Cite

@article{arxiv.1706.04127,
  title  = {Two- and three-cluster decays of light nuclei with the hyperspherical harmonics},
  author = {V. S. Vasilevsky and Yu. A. Lashko and G. F. Filippov},
  journal= {arXiv preprint arXiv:1706.04127},
  year   = {2018}
}

Comments

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