Low lying 8 and 12 hole states in light nuclei

The positions of 4, 8 and 12 hole states in alpha particle nuclei from ²²⁰Ne to ⁵²Fe are calculated using a j dependent monopole-monopole interaction with an A⁻¹ dependence. The 12 hole states in ⁴⁰Ca and ⁴⁴Ti are lower than the 8 hole states and are calculated to be at 5 and 3 MeV respectively. B(E2)'s are calculated for ⁴⁰Ca and the nature of the 5.21 MeV state is discussed.