A model with interlayer pairing is proposed to explain the sinusoidal modulation of the resonant neutron scattering in high temperature superconductors. It is found that the interlayer pairing has s-wave symmetry in the CuO2 plane and has comparable magnitude as the d-wave intralayer pairing. It is also found that the interlayer pairing mainly affects momentum close to the hot spot on the Fermi surface while its effect on the gap nodes is negligible. It is pointed out that such characteristics of the interlayer pairing can be understood in a model in which the superconducting pairing originates from the exchange of the antiferromagnetic spin fluctuation. 1 The observation of the resonant neutron scattering is one of the most important progress in the high-Tc field in recent years [1–5]. This resonance, also called (π, π) resonance, has many interesting characteristics and has attracted much theoretical attention [6–18]. The c-axis modulation is an interesting and intriguing problem in the explanation of the (π, π) resonance. Experimentally, only the odd channel magnetic response (qc = π) is observe
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