Decoupling condition for dark matter WIMP

In summary, the conversation is about a research student studying dark matter in the early universe and trying to understand how to derive a condition for dark matter decoupling. The condition, T = m/26, can be found through a numerical solution and there is a reference available for further information. The student expresses appreciation for the help.
  • #1
shahbaznihal
53
2
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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  • #2
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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  • #3
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
 

Related to Decoupling condition for dark matter WIMP

1. What is the decoupling condition for dark matter WIMP?

The decoupling condition for dark matter WIMP refers to the point in the early universe when the interaction rate of WIMPs (Weakly Interacting Massive Particles) with other particles decreases significantly, causing them to decouple from the thermal equilibrium of the universe. This allows WIMPs to survive and potentially make up a significant portion of the dark matter in the universe.

2. How does the decoupling condition affect the abundance of dark matter WIMPs?

The decoupling condition plays a crucial role in determining the abundance of dark matter WIMPs in the universe. If the decoupling occurs too early, WIMPs will not have enough time to interact and become part of the thermal equilibrium, leading to a lower abundance. On the other hand, if it occurs too late, WIMPs will have a higher interaction rate and be more likely to annihilate, reducing their abundance.

3. What factors can influence the decoupling condition for dark matter WIMPs?

Several factors can affect the decoupling condition for dark matter WIMPs, including the strength of their interactions with other particles, their mass, and the temperature of the universe. These factors can vary depending on the specific model of dark matter being studied.

4. How do scientists determine the decoupling condition for dark matter WIMPs?

Scientists use various techniques, including numerical simulations and theoretical models, to study the decoupling condition for dark matter WIMPs. They can also analyze observational data from experiments such as the Large Hadron Collider (LHC) to better understand the properties of WIMPs and their interactions with other particles.

5. Why is the decoupling condition for dark matter WIMPs important in understanding the universe?

The decoupling condition for dark matter WIMPs is crucial in understanding the universe's evolution and structure formation. Dark matter makes up about 85% of the total matter in the universe, and WIMPs are one of the most popular candidates for dark matter. Therefore, studying the decoupling condition can provide insights into the nature of dark matter and its role in the universe's formation and evolution.

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