Conjectured Hole States ( Be-7, F-19) and p-h states (Be-8) of the CSM

The remarkable success of the Algebraic Cluster Model (ACM) to describe the N=Z even-even light nuclei, Be-8, C-12, O-16 and Ne-20, and the neighbouring nuclei with one particle added, Be-9, B-9, C-13, Ne-21 and Na-21, using the Cluster Shell Model (CSM), lead us to consider the phenomenology of data on conjectured hole states of the CSM in Be-7 and F-19, and conjectured high lying particle-hole states (p-h) in Be-8. We propose the first application of the Cluster Shell Model (CSM) of Della Rocca and Iachello to conjectured p-h states in 8Be. We demonstrate a few essential phenomenological features of the CSM in Be-8: 1) All predicted conjectured p-h states of the CSM, and only the predicted p-h states, are observed near thresholds and up to 19.5 MeV in Be-8. 2) The states are observed in the predicted order, with positive parity states below negative parity states. 3) Some of the conjectured p-h states are already known to have the predicted rotational structure of the deformed p-h states. 4) The rotational structures observed at high excitations in the conjectured p-h bands in Be-8, resemble the ground state bands of Be-8, Be-9 and B-9, with similar moment of inertia. Based on these observations we contemplate new measurements of the spectroscopy of Be-8 at energies above 19.5 MeV, where our knowledge of states in Be-8 is incomplete. We examine the observed B(M1)s and B(E2)s in these nuclei and contemplate a measurement of the B(E2) of the iso-baric Analog transition in Li-8.