We applied the pairing renormalization and regularization procedures for the chain of deformed Dy isotopes. Differences between both sets of results are shown in Fig. 8. We show only the results with the mixed pairing, since, as in the spherical nuclei, the differences between both procedures are larger in this case.
As seen in Fig. 8(c), most of the nuclei considered are well deformed, and the deformations are practically the same within both procedures. Despite the fact that the maximum difference in the pairing energy is around 3MeV (not shown), other quantities are very similar. The maximum difference in the total energy is about 360keV, in the two-neutron separation energy - 160keV, in the pairing gaps - 110keV, and in the rms radii (not shown) - less than 0.005fm.