α-particle model of²⁰Ne and²⁴Mg

The α-particle model has been applied to the²⁰Ne and²⁴Mg nuclei taking as equilibrium structures a trigonal and tetragonal bipyramid, respectively. The model easily reproduces four of the five low-lying rotational bands in²⁰Ne, and all low-energy levels with known spin and parity in²⁴Mg are found in the theoretical spectrum. However, because of the many vibrational degrees of freedom and the small symmetry groups, there are so many rotational bands and undetermined parameters that the fits become much less significant. More new experimental levels are needed to test the α-particle predictions.