Abstract
The conditions under which a Hartree-Fock wave function may be a good description of the intrinsic state of a rotational nucleus are discussed from two points of view; first by studying the fluctuations of the modified Hamiltonian as a function of , and second by studying the response of the wave function to a small external perturbation . Following Thouless and Valatin, this response is given in terms of an anti-Hermitian cranking operator . We demonstrate that, when the Hartree-Fock wave function is adequate, , is of the form , where is the single-particle density operator and is twice the rotational energy content of the intrinsic state. These considerations lead to simple tests of the adequacy of the Hartree-Fock wave function as a rotational intrinsic wave function. A comparative study of various formulas for the moment of inertia, utilizing the aforementioned result for , is presented.
- Received 24 June 1968
DOI:https://doi.org/10.1103/PhysRev.181.1404
©1969 American Physical Society