Shape polarizations of two-quasiparticle<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>π</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo>=</mml:mo><mml:mn>8</mml:mn><mml:mn/></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>isomeric configurations

Two-quasiparticle ${K}^{\ensuremath{\pi}}{=8}^{\ensuremath{-}}$ isomeric states in the $A\ensuremath{\sim}130$ and 180 regions are studied with configuration-constrained calculations of potential-energy surfaces. Strong shape-polarization effects due to the two quasiparticles are found. In particular, the nuclei ${}^{188}\mathrm{Pb}{,}^{186}\mathrm{Hg},$ and ${}^{126}\mathrm{Te}$ can be polarized from ground-state spherical or oblate shapes to prolate shapes, indicating a combination of K isomerism and shape isomerism as the Fermi level approaches shell closure.

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