Theory of the Resonant Neutron Scattering of High $T_c$ Superconductors

Abstract

Recent polarized neutron scattering experiments on $YB{a}_{2}C{u}_3{O}_7$ have revealed a sharp spectral peak at the $(\pi ,\pi )$ in reciprocal lattice centered around the energy transfer of $41meV$. We offer a theoretical explanation of this remarkable experiment in terms of a new collective mode in the particle particle channel of the Hubbard model. This collective mode yields valuable information about the symmetry of the superconducting gap.

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