A Cluster Model of $^{6}$He and $^{6}$Li

Small nuclei provide an ideal testing ground of few-body theories. $^{6}$He is particularly interesting in that it shows an extended particle distribution similar to a halo nucleus, is loosely bound, and is a Borromean system. We apply the Brink Formalism in secondary quantization to study the structure of $^{6}$He. This formalism allows for the proper treatment of Fermi statistics and correct projection into eigenstates of angular momentum. The alpha plus dineutron configuration and ``cigar'' (neutron, alpha, neutron chain) configuration were studied to obtain binding energies, charge radii, matter radii, and B(E2) for $^{6}$He. The same configurations were used to obtain the same observables for $^{6}$Li. We were then able to calculate the log ft value for the beta decay of $^{6}$He. We now examine the effects of different nucleon-nucleon interactions on our systems.