Two distinct variational methods for obtaining single determinantal states in light spherical nuclei are studied. The first is the well-known Hartree-Fock method and the second is the minimization of the energy variance method. The equations for determining the self-consistent set of single particle orbits using the new variational procedure are derived. The widths of these states are also evaluated, which provide us with a measure of their departure from the exact eigenstates of the nuclear system. Perturbation theory corrections are also calculated for these determinantal states to estimate the correlation effects. A comparative study of the properties of the Slater determinants using the Hartree-Fock method and the new variational method is also made.

NUCLEAR STRUCTURE Evaluation of variance for Hartree-Fock states, minimization of energy variance for Slater determinants.

• Received 10 December 1975

DOI:https://doi.org/10.1103/PhysRevC.14.1198