Application of the projected Hartree--Fock method to rotational motion in 1p-shell odd-A nuclei

The rotational properties of A = 7, 9, 11, and 13 nuclei are studied in a self-consistent way by using the effective two-body interactions derived either from the Sussex relative harmonic-oscillator matrix elements or from energy-level fitting. Special care is taken in choosing the appropriate solution among others corresponding to oblate or prolate deformed orbitals. In particular, a pronounced band mixing in A = 9 and A = 11 nuclei is investigated by diagonalizing the effective Hamiltonian within the orthonormalized basis setup with the Hartree--Fock projected states. Moments of inertia of A = 6, 8, 10, and 12 nuclei are also computed by means of the cranking model. The energy levels and the magnetic dipole moments, as well as the M1 transition rates, are in good agreement with shell-model calculations which use the same effective two-body interactions. (AIP)