The relationship between the energy levels and semi-classical coupling angle θ1, 2 for ⁴⁸Sc, ⁵⁴Co nuclei using Pandya transformation

In this study, the Pandya transformation is applied to calculate the energy levels of (the ⁴⁸₂₁Sc₂₇–⁵⁴₂₇Co₂₇ spectra) and (the ⁵⁴₂₇Co₂₇–⁴⁸₂₁Sc₂₇ spectra). Thus, we have used a theoretical study to find energy levels as a function of semi-classical coupling angle θ1, 2 at same orbital within particle–hole configuration and hole–hole configuration. We can notice that the energy levels follow two universal functions which depend on the semi-classical coupling angles θ1, 2. Therefore, our results are in logical agreement with the experimental data. (author). (author)