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We present a comparative study of the high-spin ${11/2}^-$, ${10}^+$ and${27/2}^-$ nuclear isomers, observed commonly in the full semi-magic $Z=50$isotopic and $N=82$ isotonic chains, which are found to display nearlyidentical systematics in excitation energy and half-lives. A constant andparticle number independent energy gap of $\sim$ 4 MeV between the $0^+$ groundstates and ${10}^+$ isomers and, the ${11/2}^-$ and ${27/2}^-$ isomers existsbefore the mid-shell, which declines near the mid-shell, and then becomesconstant at $\sim$ 3 MeV after the mid-shell. Large scale shell modelcalculations are carried out for the full chains of Sn-isotopes and $N=82$isotones, which reproduce the observed energy systematics reasonably well. Therole of seniority, generalized seniority and alignment in the high-spinisomeric states as well as in the states populating the high spin isomers hasbeen discussed. The empirical features suggest that the generalized seniority,known to be valid in the low lying states of even-even nuclei before themid-shell, remains good up to the ${10}^+$ isomeric states; we further extendthis interpretation to the odd-A nuclei before the mid-shell, particularly the${27/2}^-$ isomers. The seniority becomes good after the mid-shell. The changein energy gap around the mid-shell, therefore, marks a transition from thegeneralized seniority regime to the seniority regime. From the alignmentconsiderations, the high-spin isomers after the mid-shell emerge as maximallyaligned decoupled states. We also note that the similar features of theisomeric half-lives in both the chains may be understood in terms of theirsimilar seniorities and configurations. An overview of the $0^+$ to ${10}^+$yrast states in the full chain of even-even Sn-isotopes has also beenpresented. We also make some predictions of possible new isomers based on theempirical systematics.

Comparative study of high-spin isomers in semi-magic $Z$=50 isotopic and $N$=82 isotonic chains