Baryon acoustic signature in the clustering of density maxima

Understand

We reexamine the two-point correlation of density maxima in Gaussian initial conditions.

• Spatial derivatives of the linear density correlation, which were ignored in the calculation of Bardeen, Bond, Kaiser & Szalay (1986), are included in our analysis.
• These functions exhibit large oscillations around the sound horizon scale for generic CDM power spectra.
• We derive the exact leading-order expression for the correlation of density peaks and demonstrate the contribution of those spatial derivatives.