Search for E(5) symmetry in nuclei: The Ru isotopes

We carry out an interacting boson model study of the Ru isotopes using a U(5)-SO(6) transitional Hamiltonian with fixed parameters, where the variation is due only to the change in boson number N. Transitional behavior in ${}^{104}\mathrm{Ru}$ is compared with recent predictions of an E(5) critical symmetry, including a modified version with an alternative $\beta$ dependence for the $T^{\left(\mathrm{E}2\right)}$ operator.