Delayed γ-ray cascades, originating from the decay of ð6þÞ isomeric states, in the very neutron-rich,
semimagic isotopes 136;138Sn have been observed following the projectile fission of a 238U beam at RIBF,
RIKEN. The wave functions of these isomeric states are proposed to be predominantly a fully aligned pair
of f7=2 neutrons. Shell-model calculations, performed using a realistic effective interaction, reproduce
well the energies of the excited states of these nuclei and the measured transition rates, with the exception
of the BðE2; 6þ → 4þÞ rate of 136Sn, which deviates from a simple seniority scheme. Empirically reducing
the νf2
7=2 orbit matrix elements produces a 4
þ
1 state with almost equal seniority 2 and 4 components,
correctly reproducing the experimental BðE2; 6þ → 4þÞ rate of 136Sn. These data provide a key benchmark
for shell-model interactions far from stability.