Abstract
The ground state equilibrium deformation and the deformation energy are calculated for even nuclei in the rare-earth region. The method of calculation is the same as that of Bès and Szymański, but the projected wave functions (PBCS) corresponding to a definite number of particles is used, instead of the BCS wave function. It is shown that although the value of the ground state energy is lowered by a few MeV in comparison with the BCS case, the dependence of the energy on the deformation and hence the equilibrium deformations are not changed much. The role of the Coulomb term in the formula for the energy is discussed.
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