Static quadrupole moments and B(E2)'s in N=Z nuclei $^{88}$Ru, $^{92}$Pd, and $^{96}$Cd in shell model calculations

We calculate B(E2)'s and quadrupole moments Q(J) in the even-even N=Z nuclei ($^{88}$Ru,$^{92}$Pd and $^{96}$Cd) in the model space p$_{3/2}$, f$_{5/2}$, p$_{1/2}$, and g$_{9/2}$. We use 2 interactions( jj44b, jun45). For the J=0$^{+}$ ground states the occupations of the lowest configuration i.e. the one with least g$_{9/2}$ occupancy are quite different for the 2 interactions-((1.6,7.4), (9.7,28.8) and (49.6,58.8)). To the extent that one can make a collective associatkon with the shell model it appears that in this model space $^{88}$Ru is strongly oblate, $^{92}$Pd is vibrational and $^{96}$Cd is prolate. The values of B(E2, J$\rightarrow$ J-2) (e$^{2}$ fm$^{4}$) and Q(J) (e fm$^{2}$ ) using jj44b for J=2,4,6,8,10 are $^{88}$Ru B(E2) (578,843,972,1056, 1107) and for Q(J) (28.0,37.1,45.5,49.5,51.1). The positive Q (2$^{+}$ ) is indicative of oblateness. $^{92}$Pd B(E2) (366, 498, 465, 283, 344) and for Q(J) (4.8,11.1,24.0,33.8,40.0) . In the harmonic vibrational limit Q(2$^{+}$ ) is zero. Here it is small. $^{96}$Cd B(E2) (155, 206, 187, 71, 81 and for Q(J) (-16.4,-15.2,-2.4, +37.6, +24.0 ) . Note the change in sign from J=6 to J=8 and 10.