[math-fun] dark matter cross sections, a few simple calculations
According to my calculations, white dwarfs are highly transparent to dark matter particles -- proven by experiments setting upper limits on dark matter cross sections with nucleons of 10^(-46) to 10^(-50) meter^2. Assuming the dark matter particles have masses 1-10000 GeV/c^2. Certainly over 99% transmission through a white dwarf. [However white dwarfs should be quite opaque to neutrinos with energies >=1 GeV, based on cross section data & formulas here: http://cupp.oulu.fi/neutrino/nd-cross.html .] However, neutron stars could be anywhere from highly transparent to highly opaque to dark matter, we cannot tell which from detector experiments up to year 2015. It has been alleged based on astronomical observations that dark matter has a cross section for interaction with other dark matter particles (1.7 +- 0.7) * 10^(-4) cm^2/gram. That for a dark matter particle mass of 1-10000 GeV/c^2 would be 3*10^(-32) to 3*10^(-28) meter^2 cross section for interaction per particle. This is INSANELY LARGER than the known upper limits from detectors. How can it be that dark matter is much more interactive with other dark matter, than it is with normal matter? This is simply not possible with the known physics forces. The astronomers blissfully never did this simple calculation, thus happily remaining ignorant of what would seem to be a huge contradiction. Seems to me the only escapes are either (a) the observers are wrong, (b) dark matter particles are tremendously more massive than previously suspected, (c) my calculations are wrong, (d) there are new "dark forces" in physics that do not affect normal matter, but do affect dark matter.
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Warren D Smith