Astrophysical \(S(0)\)-factors for the \(^{3}{\mathrm {He}}(\alpha ,\gamma )^{7}{\mathrm {Be}}\), \(^{3}{\mathrm {H}}(\alpha , \gamma )^{7}{\mathrm {Li}}\), and \(^{7}{\mathrm {Be}}(p, \gamma )^{8}{\mathrm {B}}\) Direct Capture Processes in a Potential Model

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.

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