From the static Hartree-Fock solutions for ${\mathrm{Ne}}^{20}$ and ${\mathrm{Mg}}^{24}$, the intrinsic wave functions of the excited bands are obtained in the Tamm-Dancoff approximation (TDA). For both the ground and excited states, axially symmetric deformation has been assumed. A phenomenological interaction with Yukawa radial dependence and exchange mixture of the Rosenfeld type is used in the calculation. The good angular-momentum states are then projected out from the TDA wave functions. The agreement between the calculated and the experimental spectra of ${\mathrm{Ne}}^{20}$ is only reasonably good. Contrary to expectation, the projected spectrum in one case deviates significantly from the $J(J+1\mathrm{})\mathrm{}$ law.

• Received 22 April 1968

DOI:https://doi.org/10.1103/PhysRev.174.1324