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We study the evolution of the neutron cross-section with variable frequency$\omega$ and fixed $T$ below $T_c$ in two different cuprate families. Ourcalculations, which predominantly probe the role of d-wave pairing, lead togeneric features, independent of Fermi surface shapes. Among our findings,reasonably consistent with experiment, are (i) for $\omega $ near the gapenergy $\Delta$, both optimal {LaSrCuO} and slightly underdoped YBCO exhibit(comparably) incommensurate peaks (ii) peak sharpening below $T_c$ is seen in{LaSrCuO}, (iii) quite generically, a frequency evolution from incommensurateto commensurate and then back to incommensurate structure is found withincreasing $\omega$. Due to their narrow $\omega$ regime of stability,commensurate peaks in {LaSrCuO} should be extremely difficult to observe.Comment: RevTex 5pages, 4figures; Manuscript rewritten, figures revised, and  direct comparisons with experiments adde

physical review. b, condensed matter

Frequency evolution of neutron peaks below<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>:</mml:mo></mml:math>Commensurate and incommensurate structure in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">La</mml:mi></mml:mrow><mml:mrow><mml:mn>0.85</mml:mn></…

Frequency evolution of neutron peaks belowTc:Commensurate and incommensurate structure inLa0.85