Signatures of $\alpha$-clustering in $^{12}$C and $^{13}$C

A. H. Santana-Valdés; R. Bijker

doi:10.1016/j.physletb.2023.138026

Signatures of $\alpha$-clustering in $^{12}$C and $^{13}$C

Nuclear Theory 2023-09-29 v1

Authors: A. H. Santana-Valdés , R. Bijker

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Abstract

We study the cluster structure of $^{12}$ C and $^{13}$ C in the framework of the cluster shell model. Simple relations are derived for ratios of longitudinal form factors as well as transition probabilities. It is shown that the available experimental data for $^{12}$ C and $^{13}$ C can be well described by a triangular structure with ${\cal D}_{3h}$ and ${\cal D}'_{3h}$ symmetry, respectively.

Keywords

alpha clustering carbon nuclei cluster shell model form factors transition probabilities geometric symmetry

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@article{arxiv.2309.16586,
  title  = {Signatures of $\alpha$-clustering in $^{12}$C and $^{13}$C},
  author = {A. H. Santana-Valdés and R. Bijker},
  journal= {arXiv preprint arXiv:2309.16586},
  year   = {2023}
}

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11 pages, 4 figures, 2 tables, Phys. Lett. B

Signatures of $\alpha$-clustering in $^{12}$C and $^{13}$C

Abstract

Keywords

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