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Theory of Neutron Scattering in the Normal and Superconducting States of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Y</mml:mi><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ba</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow…
We analyze neutron experiments on $\mathrm{Y}{\mathrm{Ba}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{6+x}$ at various stoichiometries in the superconducting state, within the context of a bilayer theory that yields good agreement with the normal state Cu NMR and neutron data as a function of $\ensuremath{\omega}$, q, and $T$. A $d$-wave superconducting state exhibits peaks at $\mathrm{q}=(\ensuremath{\pi}, \ensuremath{\pi}, …