High-spin states in $^{122,124}$Sn above the 10$^{+}$ isomers.

High-spin states above the previously known 10$^{+}$ isomers of $^{122}$Sn and $^{124}$Sn were studied via prompt $\gamma$-ray spectroscopy. $^{122}$Sn and $^{124}$Sn were populated as fission fragments in the fission of the $^{226}$Th compound nucleus formed in a fusion-fission reaction in a Gammasphere experiment at LBNL. $^{122}$Sn was also populated and studied as evaporation residue in the $^{124}$Sn$(n,3n)$ reaction using the GEANIE array coupled to the spallation neutron source of the Los Alamos Neutron Science Center's WNR facility. The $^{124}$Sn$(n,n^{\prime})$ reaction in this experiment did not bring in enough angular momentum to adequately populate states above the 10$^{+}$ isomer in $^{124}$Sn. Sequences of transitions were observed for the first time feeding the previously known 10$^{+}$ isomers, at 2766-, and 2657-keV excitation energy, and with 62$\mu$s and 45$\mu$s half-life, for $^{122}$Sn and $^{124}$Sn, respectively. The level schemes above the isomers were established up to 5386-, and 5952-keV excitation energy, for $^{122}$Sn and $^{124}$Sn, respectively. The experimental results are compared with predictions from shell-model calculations.