The ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$ spectrum is investigated with microscopic wave functions defined in the generator-coordinate formalism. This nucleus is described in a three-cluster model, involving an ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ core surrounded by a dineutron and an α particle. The ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}$ cluster is projected out on the $0^{+}$ and $2^{+}$ states. We propose a band structure of ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$ with experimental candidates. The model suggests the existence of a $0^{+}$ band presenting a marked α${+}^{18}$O cluster structure. We present the α${+}^{18}$O${(0\mathrm{}}^{+}$,$2^{+}$) collision matrices, and discuss the resonance properties in the ${}_{}{}^{18}{}_{}{}^{}(\mathit{\alpha }$,α${)}^{18}$O scattering. Electromagnetic transition probabilities in the ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$ nucleus are calculated. From the theoretical Coulomb shifts between the mirror ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$ and ${}_{}{}^{22}{}_{}{}^{}\mathrm{Mg}$ nuclei, we suggest spin assignments for different ${}_{}{}^{22}{}_{}{}^{}\mathrm{Mg}$ states. The ${}_{}{}^{18}{}_{}{}^{}(\mathit{\alpha }$,γ${)}^{22}$Ne capture cross section is calculated, and is used for determining microscopically the nonresonant reaction rate.

• Received 16 February 1988

DOI:https://doi.org/10.1103/PhysRevC.38.2397