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A model with interlayer pairing is proposed to explain the sinusoidalmodulation of the resonant neutron scattering in high temperaturesuperconductors. It is found that the interlayer pairing has s-wave symmetry inthe CuO$_2$ plane and has comparable magnitude with the d-wave intralayerpairing. It is also found that the interlayer pairing mainly affects momentumclose to the hot spots on the Fermi surface while its effect on the gap nodesis negligible. It is pointed out that these characteristics of the interlayerpairing can be understood in a model in which the superconducting pairingoriginates from the exchange of the antiferromagnetic spin fluctuation.Comment: 7 pages, 4 figure

THEORY OF SINUSOIDAL MODULATION OF THE RESONANT NEUTRON SCATTERING IN HIGH TEMPERATURE SUPERCONDUCTORS