We describe a full nonspurious 4ħω shell-model calculation that successfully reproduces the low-lying spectrum of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, including the superdeformed $0^{+}$ (6.05 MeV) state, and discuss its connection with the coexistence model. This treatment provides a realistic microscopic framework for discussing various electroweak processes: E2 transitions in ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, the role of exchange currents and the pseudoscalar coupling constant in the $0^{+}$⇆$0^{\mathrm{-}}$ β-decay and μ-capture transition, and the evaluation of the Gamow-Teller inclusive response function.

• Received 29 May 1990

DOI:https://doi.org/10.1103/PhysRevLett.65.1325