Recently measured B(E2;0(1)(+) --> 2(1)(+)) values for the Light xenon
(Z=54) isotopes show a marked increase in deformation as the neutron
numbers approach the midshell value of N=66. At first sight, this beha
vior is anomalous because the 2: level energies are nearly the same fo
r these isotopes. Moreover, this increase is not readily explained by
several nuclear models that assign single shells to valence protons an
d neutrons. In particular, the single-shell asymptotic Nilsson model w
ith current parameters seriously underpredicts the B(E2;0(1)(+) --> 2(
1)(+)) values for Xe-118(64), Xe-120(66), and Xe-122(68). On the other
hand, several modem multishell models correctly predict these values.
We examine the latter results more closely to find ways in which the
single-shell asymptotic Nilsson model can be revised to correctly repr
oduce the measurements. We also show that the B(E2;0(1)(+) --> 2(1)(+)
) values for Lighter (N<66) barium isotopes, when they are measured, w
ill test the predictive power of existing systematics and modeling of
quadrupole deformations in nuclei.