Why Does Increased Baryon Loading Shift Power Spectrum to Higher Multipoles?

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SUMMARY

The discussion centers on the impact of increased baryon loading on the cosmic power spectrum, specifically how it shifts the power spectrum to higher multipoles. It is established that adding baryons reduces the frequency of oscillation, which in turn decreases the sound speed and the size of the sound horizon. This reduction in sound horizon size leads to a shift in the peaks of the power spectrum to higher multipoles, contrary to the expectation that smaller frequency would correspond to longer wavelengths and smaller multipoles.

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gluon
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About the power spectrum: if increased the number of baryons the frequency of the oscillation reduced.I want to ask why this fact moves the power spectrum to higher multipoles and no to smaller?smaller frequency doesn't mean longer wavelength and thus smaller multipoles?
 
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Adding baryons also decreases the sound speed and so decreases the size of the sound horizon. Since the sound horizon sets the wavelength of the fundamental mode, the peaks shift to higher-\ell (or smaller wavelength).
 

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