Register to reply

WIMP annihilation cross section

by cohen990
Tags: annihilation, cross, wimp
Share this thread:
cohen990
#1
Nov17-12, 06:02 AM
P: 7
Hi, I'm reading an article called SuperSymmetric Dark Matter, by G. Jungman et al. doi:10.1016/0370-1573(95)00058-5 and in section 3.2, he claims that
[itex]<σv> ≈ \alpha^{2}(100 GeV)^{-2} \approx10^{-25} cm^{3} s^{-1},[\itex] for [itex]\alpha \approx \frac{1}{100}.[/itex]

When I run through the calculation, I get 1x10[itex]^{-29}[/itex]. Have I tripped up in my calculation or am I missing an assumption somewhere?

my calculation:
[itex]\frac{0.01^{2}}{10^{4}GeV^{2}} = 1GeV^{-2}= 1GeV^{-2}(\hbar c)^{2}c = 3\times10^8\times4\times10^{-2}fm^{2}ms^{-1}=1\times10^{7}\times(\frac{1m}{10^{15}fm})^{2}ms^{-1}fm^{2} = 1\times10^{7}\times10^{-30}m^{3}s^{-1} = 1\times10^{-29}cm^{3}s^{-1}[/itex]

Also he claims that his value for Ωh[itex]^2 \approx 3\times10^{-2}[/itex] is close to the value measured [itex]\approx 0.22[/itex] but it is a full order of magnitude off...

I know that a portion of cold dark matter is in machos and in baryonic matter but that cannot account for the discrepancy between the measured value and Jungman's predicted value. Can anybody help me understand?


Thanks, Dan
Phys.Org News Partner Physics news on Phys.org
Step lightly: All-optical transistor triggered by single photon promises advances in quantum applications
The unifying framework of symmetry reveals properties of a broad range of physical systems
What time is it in the universe?
mfb
#2
Nov17-12, 02:48 PM
Mentor
P: 11,911
I see an error in your first and last "=".

WolframAlpha gives 10-31m^3/s, which is equivalent to 10-31(102cm)^3/s = 10-25 cm^3/s.
cohen990
#3
Nov18-12, 11:16 AM
P: 7
Ah, thanks. Silly mistake :<

Any thoughts on my second question?
Also he claims that his value for Ωh2≈310−2 is close to the value measured ≈0.22 but it is a full order of magnitude off...

I know that a portion of cold dark matter is in machos and in baryonic matter but that cannot account for the discrepancy between the measured value and Jungman's predicted value. Can anybody help me understand?

mfb
#4
Nov18-12, 12:00 PM
Mentor
P: 11,911
WIMP annihilation cross section

Where is that claim?

One order of magnitude is not so bad for a rough estimate, concerning the magnitude of some numbers involved in particle physics and cosmology.

http://arxiv.org/abs/hepph/9506380
cohen990
#5
Nov18-12, 02:44 PM
P: 7
Well the phrase he uses is
This is remarkably close to the value required to account for the dark matter in the Universe, especially if we realize that there is no a priori reason for a weak-scale interaction to have anything to do with closure density, a cosmological parameter!
referring to [itex]<\sigma_{A}v>[/itex], the annihilation cross section.
mfb
#6
Nov18-12, 04:58 PM
Mentor
P: 11,911
The ftp links do not work :(, but this talk (pdf) has the same remark.

m can be tuned, so it is easy to find an m where Ωh2 ≈ 0.1. That happens to be at the scale of EWSB, but it could be a pure coincidence.
cohen990
#7
Nov18-12, 05:05 PM
P: 7
Thanks for your help. It makes more sense now.

Supersymmetric dark matter

If you have access, it's worth a look ^_^

Thanks again


Register to reply

Related Discussions
Selection of rectangular cross-section by section modulus Mechanical Engineering 0
Getting Extinction cross section from Radar cross section using HFSS Electrical Engineering 0
Finding the shear centre of a non-homogeneous cross section cross Engineering, Comp Sci, & Technology Homework 2
Volume by cross-section: ellipse and equilateral triangle cross sections? Calculus & Beyond Homework 0
Difference between cross section and cross sectional area? Classical Physics 0