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We study microscopic structures of monopole pair vibrational modes andassociated two-neutron transfer amplitudes in neutron-rich Sn isotopes by meansof the linear response formalism of the quasiparticle random phaseapproximation(QRPA). For this purpose we introduce a method to decompose thetransfer amplitudes with respect to two-quasiparticle components of the QRPAeigen mode. It is found that pair-addition ibrational modes in neutron-rich$^{132-140}$Sn and the pair rotational modes in $^{142-150}$Sn are commonlycharacterized by coherent contributions of quasaiparticle states having highorbital angular momenta $l \gesim 5$, which suggests transfer of a spatiallycorrelated neutron pair. The calculation also predicts a high-lying pairvibration, the giant pair vibration, emerging near the one-neutron separationenergy in $^{110-130}$Sn, and we find that they have the same di-neutroncharacters as that of the low-lying pair vibration in $^{132-140}$Sn.

Di-neutron correlation in monopole two-neutron transfer modes in Sn isotope chain