Supersymmetric interpretation of core+α type cluster systems

We discuss the U(4|12) supersymmetry scheme that allows the unified treatment of core+α-type configurations of six neighbouring A = 20, 19, and 18 nuclei. The bosons are dipole and monopole excitations of the relative motion, while the fermions are holes on the p-shell core. The validity of the supersymmetry scheme is tested by analyzing correlations in the E2 transitions of the six nuclei and six one-nucleon transfer reactions between them. Further possible cluster supersymmetry schemes are also outlined. (author)