Comparison between Coulomb and Hulthèn potentials behaviors in [formula omitted]-rigid nuclei within a generalized uncertainty principle

Abstract

In the present paper, we study the effect of the minimal length on two well-known potentials: Coulomb and Hulthèn in transitional nuclei near the critical point symmetry X(3). Albeit these two potentials have mathematically similar behaviors at small deformations and give the same results for energy spectra and electromagnetic transition rates of nuclei, they behave differently in the presence of a minimal length. It appears that this latter acts on the intrinsic structure of the potential allowing both potentials’ actions to be differentiated.