Abstract
Calculations are carried out for even Ti isotopes using the self-consistent Hartree-Fock-Bogoliubov (HFB) theory, and the results are compared with those obtained from the generalized BCS approximation of Belyaev for axially symmetric deformation. It is found that in most cases the generalized BCS and HFB results agree. However, for isotopes for which the generalized BCS and Hartree-Fock results agree, the HFB approximation may yield a different solution with the same energy minimum having different pairing correlations.
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