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Paring correlations in weakly bound nuclei on the edge of neutron drip line is studied by using a three-body model. A density-dependent contact interaction is employed to calculate the ground state of halo nuclei He and Li, as well as a skin nucleus O. Dipole excitations in these nuclei are also studied within the same model. We point out that the di-neutron type correlation plays a dominant role in the halo nuclei He and Li having the coupled spin of the two neutrons =0, while the correlation similar to the BCS type is important in O. Contributions of the spin =1 and S=0 configurations are separately discussed in the low energy dipole excitations.

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