University of Chicago

- Introduction
- Temperature Maps
- Thermal History
- Acoustic Oscillations
- Angular Peaks
- First Peak
- Second Peak
- Higher Peaks
- Damping Tail
- Parameter Estimation
- Polarization
- Summary

- Power spectrum shows baryons enhance every other peak.
- Second peak is suppressed compared with the first and third
- Additional effects on the peak position and damping yield consistency checks

When we do the full calculation of the power spectrum, the basic physics of a mass on the spring appears as advertised. The odd numbered acoustic peaks in the power spectrum are enhanced in amplitude over the even numbered ones as we increase the baryon density of the universe.

[Note:
Cosmologists label the baryon density in terms of its fraction of the critical
density W_{b}times the Hubble constant
squared (in units of 100 km/s/Mpc) to get something proportional to the
physical density of the baryons.]

There are two other related effects due to the baryons:
since adding mass to a spring slows the oscillation
down, adding baryons to the plasma decrease the frequency of the oscillations
pushing the position of the peaks to slightly
higher multipoles *l.*

Baryons also affect the way the sound waves damp
and hence how the power spectrum falls off
at high multipole moment *l*or small
angular scales as we will see later.

The many ways that baryons show up in the power spectrum imply that the power spectrum has many independent checks on the baryon density of the universe. The baryon density is a quantity that the CMB can measure to exquisite precision.