What's the Dark Matter Density in Universe?

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Discussion Overview

The discussion revolves around the calculation of dark matter density in the universe, particularly focusing on the relationship between baryonic matter density and dark matter density as expressed in the Lambda-CDM model. Participants explore the implications of the Hubble constant on these calculations and the discrepancies in values obtained from different assumptions.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants note the values for physical baryon density and dark matter density as presented in Wikipedia, questioning how these contribute to the overall matter density.
  • There is a discussion about the significance of the term ##h^2## in the context of these densities, with some participants explaining that it scales with the Hubble constant.
  • One participant seeks guidance on how to calculate the ratio of dark matter mass to baryonic matter mass.
  • Several participants express confusion over the values they obtain when summing baryonic and dark matter densities, leading to discussions about the correct value of ##h## to use.
  • It is mentioned that using the correct value of ##h##, specifically ##h = 0.6774##, is crucial for accurate calculations, with some participants acknowledging the importance of using the same ##h## value as in the original measurements.

Areas of Agreement / Disagreement

Participants generally agree on the importance of the Hubble constant in calculations but exhibit disagreement regarding the specific values to use and the resulting calculations of matter density.

Contextual Notes

There are unresolved issues regarding the assumptions made about the values of ##h## and the potential errors in the measurements of baryonic and dark matter densities.

RyanH42
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In wikipedia says Physical baryon density: ##Ω_bh^2=0.02230±0.00014## and
Physical dark matter density:##Ω_ch^2=0.1188±0.0010##
Matter density:##Ω_m=0.3089±0.0062##
so If we collect baryonic matter density and dark matter density we cannot get matter density

https://en.wikipedia.org/wiki/Lambda-CDM_model
 
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Notice the appearance of h^2 in the values you quote for DM and baryon abundances.
 
Lets suppose I want to calculate dark matter mass/baryonic matter mass ? What should I do
 
Whats the meaning of ##h^2## in here
 
You ignore the h2 which tells you the result scales with H0. Substituting h~0.7 you get the correct results.
 
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I got it thanks.
 
##h## is the Hubble constant H today divided by 100, i.e., ##h \simeq 0.6780\pm 0.0077## (PLANCK 2013).
 
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I add them and I get 0.287 not 0.3089
 
RyanH42 said:
I add them and I get 0.287 not 0.3089

What did you use for ##h##? Using 0.678 gives me 0.3069.
 
  • #10
I used 0.49
 
  • #11
You mean you used ##h^2 = 0.49##? For ##h = 0.678## you will get ##h^2 = 0,46##. You should however note that ##h## also comes with an error. The reason that the abundance is given in ##\Omega h^2## is that this quantity is better bounded.
 
  • #12
Yeah I used h2=0.49
 
  • #13
To get the right answer, you have to use the value of ##h## that was used to measure those parameters. As ##h = H_0 / 100 km/s/Mpc##, and ##H_0 = 67.74 km/s/Mpc## in that data set, ##h = 0.6774##. Use that number, and it will work. There will be some small differences, due to the fact that these numbers aren't published with full accuracy. But it'll be well within the errors.
 
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  • #14
Chalnoth said:
To get the right answer, you have to use the value of ##h## that was used to measure those parameters. As ##h = H_0 / 100 km/s/Mpc##, and ##H_0 = 67.74 km/s/Mpc## in that data set, ##h = 0.6774##. Use that number, and it will work. There will be some small differences, due to the fact that these numbers aren't published with full accuracy. But it'll be well within the errors.

Finally.Thank you
 

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