English

Cluster structures of the $0^+$ states of $^{13}_\Lambda{\rm C}$ with the 3$\alpha+\Lambda$ four-body orthogonality condition model

Nuclear Theory 2023-02-01 v1

Abstract

We study structures of the 0+0^+ states of Λ13^{13}_\LambdaC within the framework of α+α+α+Λ\alpha+\alpha+\alpha+\Lambda four-body orthogonality condition model with the Gaussian expansion method. We obtain five 0+0^+ states of Λ13^{13}_\LambdaC and compare them with the low-lying four 0+0^+ states of 12^{12}C. We find that the 01+0_1^+, 02+0_2^+ and 04+0_4^+ states correspond to the 01+0_1^+, 02+0_2^+ and 04+0_4^+ states of 12^{12}C, respectively. We also find that both the 03+0_3^+ and 05+0_5^+ states have analogous nature to the 03+0_3^+ state of 12^{12}C, where the additional Λ\Lambda particle couples with 8^8Be cluster and one α\alpha cluster, in the 03+0_3^+ state of 12^{12}C, respectively. The former is then shown to have an elongated Λ9^9_\LambdaBe(01+)+α(0_1^+) + \alpha cluster structure with a higher nodal behaviour for their relative wave function, and the latter have a dilute three-body gas consisting of 2α+Λ52\alpha+^5_\LambdaHe clusters.

Keywords

Cite

@article{arxiv.2210.04601,
  title  = {Cluster structures of the $0^+$ states of $^{13}_\Lambda{\rm C}$ with the 3$\alpha+\Lambda$ four-body orthogonality condition model},
  author = {Qian Wu and Yasuro Funaki and Xurong Chen},
  journal= {arXiv preprint arXiv:2210.04601},
  year   = {2023}
}