Algebraic treatment of alpha-cluster nuclei

Roelof Bijker; Omar Alejandro Díaz Caballero

Algebraic treatment of alpha-cluster nuclei

Nuclear Theory 2025-09-12 v1 Nuclear Experiment

Authors: Roelof Bijker , Omar Alejandro Díaz Caballero

Abstract

In this contribution we review the algebraic cluster model (ACM) for $\alpha$ -cluster nuclei with $A=4k$ nucleons and its extension to the cluster shell model (CSM) for $A=4k+x$ nuclei. Particular attention is paid to the question to what extent the $\alpha$ -cluster structure survives under the addition of extra nucleons. As an example, we discuss the properties of $^{12}$ C and $^{13}$ C.

Keywords

alpha-cluster nuclei algebraic cluster model cluster shell model nuclear structure 12C

Cite

@article{arxiv.2509.09634,
  title  = {Algebraic treatment of alpha-cluster nuclei},
  author = {Roelof Bijker and Omar Alejandro Díaz Caballero},
  journal= {arXiv preprint arXiv:2509.09634},
  year   = {2025}
}

Comments

8 pages, 7 figures, 1 table, to be published in EPJ Web of Conferences, Proceedings of 14th Spring Seminar on Nuclear Physics: Cutting-edge developments in Nuclear Structure Physics, May 19-23, Ischia, Italy

Algebraic treatment of alpha-cluster nuclei

Abstract

Keywords

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