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The consequences of the short range nature of the nucleon-nucleoninteraction, which forces the spatial part of the nuclear wave function to beas symmetric as possible, on the pseudo-SU(3) scheme are examined through astudy of the collective deformation parameters beta and gamma in the rare earthregion. It turns out that beyond the middle of each harmonic oscillator shellpossessing an SU(3) subalgebra, the highest weight irreducible representation(the hw irrep) of SU(3) has to be used, instead of the irrep with the highesteigenvalue of the second order Casimir operator of SU(3) (the hC irrep), whilein the first half of each shell the two choices are identical. The choice ofthe hw irrep predicts a transition from prolate to oblate shapes just below theupper end of the rare earth region, between the neutron numbers N=114 and 116in the W, Os, and Pt series of isotopes, in agreement with availableexperimental information, while the choice of the hC irrep leads to a prolateto oblate transition in the middle of the shell, which is not seenexperimentally. The prolate over oblate dominance in the ground states ofeven-even nuclei is obtained as a by-product.

Parameter-free predictions for the collective deformation variables beta and gamma within the pseudo-SU(3) scheme