Asymptotic Normalization Coefficients of \({}^{28}\)Si\(\,\to \,{}^{27}\)Al\(\,+\,p\) Configurations from the Proton Transfer Reaction

In this paper, we investigate the role of potential deformation in explaining the α-decay.The deformation of the nuclear potential has been taken into account by adding a Gaussian potential to the well-known Wood-Saxon potential.For the numerical calculations, the Wentzel-Kramers-Brillouin method has been used, and also the Bohr-Sommerfeld quantization condition has been employed to restrict the parameters.The half-lives of ten nuclei have been calculated for α-decay and very good agreement has been obtained with the experimental data.