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<strong>Axion</strong> Hot Dark Matter from Thermalization after Λ QCD<br />
Georg Raffelt, Max-Planck-Institut für Physik, München, Germany<br />
PONT d‘Avignon, 21-25 April 2008, Avignon, France<br />
Cosmic thermal degrees of<br />
freedom<br />
Freeze-out temperature<br />
L<br />
a<br />
π<br />
C<br />
=<br />
a<br />
f<br />
f<br />
a<br />
π<br />
π<br />
(<br />
π<br />
π π<br />
0<br />
π<br />
+<br />
∂<br />
μ<br />
π<br />
−<br />
−<br />
2<br />
π<br />
+ π<br />
+<br />
0<br />
π<br />
π<br />
−<br />
−<br />
∂<br />
∂<br />
μ<br />
μ<br />
π<br />
π<br />
0<br />
+<br />
)<br />
∂<br />
μ<br />
a<br />
10 4 10 5 10 6 10 7<br />
f a (GeV)<br />
Cosmic thermal degrees of<br />
freedom at axion freeze-out<br />
π<br />
a<br />
C a<br />
1<br />
−<br />
z<br />
π<br />
=<br />
≈<br />
0.094094<br />
3(1<br />
+<br />
z)<br />
Chang & Choi, PLB 316 (1993) 51<br />
10 4 10 5 10 6 10 7<br />
f a (GeV)
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