Systematic nuclear-structure dependence of analyzing powers for (p→,t) reactions on mediummass vibrational nuclei

A neutron-number ($N$) dependence of analyzing powers $A\left(\theta \right)$ has been observed in ($\overrightarrow{p}$,$t$) reaction leading to the quadrupole vibrational states ($2_1^{+}$) in ${}_{}{}^{98}{}_{}{}^{}\mathrm{Ru}$, ${}_{}{}^{102,108}{}_{}{}^{}\mathrm{Pd}$, ${}_{}{}^{114}{}_{}{}^{}\mathrm{Cd}$, ${}_{}{}^{116}{}_{}{}^{}\mathrm{Sn}$, and ${}_{}{}^{120,126}{}_{}{}^{}\mathrm{Te}$. Although analyzing powers for the ground-state transitions $A(\theta ,0_g^{+})$ are very similar to each other, $A(\theta ,2_1^{+})$ for the nuclei belonging to the beginning of the $N=50-82\mathrm{}$ shell are markedly different, having almost opposite signs, from those for nuclei belonging to the latter half of the shell.