Investigation ofBe9from a nonlocalized clustering concept

Abstract

The nonlocalized aspect of clustering, which is a new concept for self-conjugate nuclei, is extended for the investigation of the $N\ensuremath{\ne}Z$ nucleus $^{9}\mathrm{Be}$. A modified version of the Tohsaki-Horiuchi-Schuck-R\"opke (THSR) wave function is introduced with a new phase factor. It is found that the constructed negative-parity THSR wave function is very suitable for describing the cluster states of $^{9}\mathrm{Be}$. Namely, the nonlocalized clustering is shown to prevail in $^{9}\mathrm{Be}$. The calculated binding energy and radius of $^{9}\mathrm{Be}$ are consistent with calculations in other models and with experimental values. The squared overlaps between the single THSR wave function and the Brink + generator coordinate method wave function for the $3/{2}^{\ensuremath{-}}$ rotational band of $^{9}\mathrm{Be}$ are found to be near 96%. Furthermore, by showing the density distribution of the ground state of $^{9}\mathrm{Be}$, the $\ensuremath{\pi}$-orbit structure is naturally reproduced by using this THSR wave function.