Decoupling condition for dark matter WIMP

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SUMMARY

The discussion centers on deriving the decoupling condition for dark matter Weakly Interacting Massive Particles (WIMPs), specifically the equation T = m/26. The calculation is recognized as a standard numerical solution found in textbooks on dark matter cosmology. A key reference provided is the TASI lectures from 2008, which includes relevant graphical data in figure 1. The Boltzmann equation is mentioned as the foundational tool for this derivation.

PREREQUISITES
  • Understanding of the Boltzmann equation in cosmology
  • Familiarity with dark matter WIMP properties
  • Knowledge of thermal decoupling concepts
  • Access to TASI lectures on dark matter
NEXT STEPS
  • Study the TASI lectures on dark matter from 2008 for detailed numerical solutions
  • Explore the derivation of thermal decoupling conditions in cosmological contexts
  • Research the implications of WIMP decoupling on early universe evolution
  • Examine the role of the Boltzmann equation in particle physics
USEFUL FOR

This discussion is beneficial for theoretical physicists, cosmologists, and research students focused on dark matter and its interactions in the early universe.

shahbaznihal
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Hi,

I am a research student in Theoretical Dark Matter Cosmology. I am currently working on the evolution of dark matter WIMP in the early universe. I am trying to understand how to derive the famous condition for dark matter decoupling,T = m/26. How do you get this condition from the Boltzmann equation?

Any discussion or comments will be much appreciated. Thanks!
 
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Hello,

The calculation you seek is a standard one in most textbooks on the subject, but unfortunately it is a numerical one, so its a little bit hard to just write it down for you in such a forum.

See the Tasi lectures on dark matter from 2008,
http://arxiv.org/abs/0901.4090
figure 1 is the curve you are looking for.
 
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Okay, so it is a numerical solution. I had a feeling but was thinking if one can get it analytically someway. Thanks a lot for the reference though. Cheers!1
 

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