A potential consisting of two ellipsoidally deformed Gaussian potentials is suggested to be used for a two-center shell model of deformed and arbitrarily orientated nuclei. The eigenenergies of the two-center Hamiltonian are calculated with a set of Nilsson wave functions concentrated around the individual nuclear centers. The two-center shell model is applied to the system ${}_{}{}^{13}{}_{}{}^{}\mathrm{Si}$, where the ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ nucleus is assumed to have an oblately deformed shape. Consequences for reactions between deformed nuclei resulting from the level diagrams are discussed.

• Received 15 September 1986

DOI:https://doi.org/10.1103/PhysRevC.35.2146