Low-lying collective states of ${}^{130,132}\mathrm{Xe}$ have been investigated by $\gamma$-ray spectroscopy following ${}^{12}\mathrm{C}$(Xe,Xe${}^{*}$)${}^{12}\mathrm{C}$ projectile Coulomb excitation. The one-phonon $2_{1,\mathrm{ms}}^{+}$ states have been identified: the $2_4^{+}$ state at 2150 keV with $B(M1;2_4^{+}\to 2_1^{+})=0.15(4){\mu }_N^2$ in ${}^{130}\mathrm{Xe}$ and the $2_3^{+}$ state at 1985 keV with $B(M1;2_3^{+}\to 2_1^{+})=0.22(6){\mu }_N^2$ in ${}^{132}\mathrm{Xe}$. The evolution of the one-phonon $2_{1,\mathrm{ms}}^{+}$ states in the even-even stable xenon isotopic chain from the vibrators near $N=82$ to the $\gamma$-soft nuclei toward midshell is discussed.

• Received 23 June 2010

DOI:https://doi.org/10.1103/PhysRevC.82.024317