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L=0 proton-neutron ($pn$) pair-addition and pair-removal strengths in$^{40}$Ca and $^{56}$Ni are investigated by means of the $pn$ particle-particlerandom-phase approximation employing a Skyrme energy-density functional. It isfound that the collectivity of the lowest $J^\pi = 1^+$ state in the adjacentodd-odd nuclei becomes stronger as the strength of the isoscalar (T=0) pairinginteraction increases. The results suggest the emergence of the T=0$pn$-pairing vibrational mode as a possible critical phenomenon toward the T=0pairing condensation.

Proton-neutron pairing vibrations in N=Z nuclei: Precursory soft mode of isoscalar pairing condensation