Study of discrete symmetry in 21Ne

Since their first conceptualization in the work of J.A. Wheeler, nucleons clusters havebeen invistigated thoroughly. In recent years, R. Bijker, F. Iachello and V. Della Rocca usedthe Cluster Shell-Model framework to describe light nuclei seen as kα-particles disposedon a specific lattice plusnnucleons. The objective of this thesis is to extend for the first timetheir approach to the case of21Ne. The geometrical model describing the nucleus and itsintrinsic symmetry are presented, followed by a brief excursus on numerical calculations.In addition, single-particle states in the resulting cluster field are investigated. Moreover, amethodology towards the optimization of the parameters describing the model, the resultsobtained, and the corresponding level scheme are presented and described. In conclusionthe cluster shell-model level scheme and the experimental one are compared.