English

Two $^9$Li clusters connected with two valence neutrons in $^{20}$C

Nuclear Theory 2021-02-10 v1 Nuclear Experiment

Abstract

Many preceding works have shown in 11^{11}Li the presence of the halo structure comprised of the weakly bound two neutrons around 9^9Li, and it is intriguing to see how this halo structure changes when another 9^9Li approaches. In this study, we introduce a four-body model for 20^{20}C with two 9^9Li clusters and two valence neutrons. The recent development of the antisymmetrized quasi cluster model (AQCM) makes it possible to generate jjjj-coupling shell-model wave functions from α\alpha cluster models. Here, jjjj-coupling shell model wave function of 9^9Li is regarded as a cluster, which corresponds to the subclosure configuration of p3/2p_{3/2} for the neutrons, and we discuss how the two neutrons connect two 9^9Li clusters. Until now, most of the clusters in the conventional models have been limited to the closures of the three-dimensional harmonic oscillators, such as 4^4He, 16^{16}O, and 40^{40}Ca; however, owing to AQCM, it is feasible to utilize the jjjj-coupling shell model wave functions as plural subsystems quite easily. The appearance of a rotational band structure with a cluster structure around the four-body threshold energy is discussed.

Keywords

Cite

@article{arxiv.2102.04589,
  title  = {Two $^9$Li clusters connected with two valence neutrons in $^{20}$C},
  author = {Naoyuki Itagaki and Tokuro Fukui and Junki Tanaka and Yuma Kikuchi},
  journal= {arXiv preprint arXiv:2102.04589},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2011.12642

R2 v1 2026-06-23T22:57:53.037Z