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tel-00724955, version 1 - 23 Aug 2012<br />

1.8 Dark Matter <strong>par</strong>ticle candidates 23<br />

Figure 1.15: The bullet cluster (right) passing through the cluster on the left. The<br />

hot gas that is stripped off the colliding clusters is colored in red-yellow. The white<br />

bar indicates 200 kpc at the distance of the cluster. Shown in green contours are<br />

the levels surfaces of gravitational lensing convergence. The two peaks of this do not<br />

coinci<strong>de</strong> with those of the gas X-ray image which is mostly all the known mass, but<br />

point in the direction of the galaxy concentrations. Figure from [48].<br />

1.8.1 Axions<br />

The axion is a dark matter <strong>par</strong>ticle candidate that arises as a consequence of a<br />

theory by Peccei and Quinn [52] that proposes a dynamical mechanism to conserve<br />

strong CP symmetry. This symmetry, according to the Standard Mo<strong>de</strong>l of <strong>par</strong>ticle<br />

physics, should be violated and therefore produce a neutron electric dipole moment<br />

10 or<strong>de</strong>rs of magnitu<strong>de</strong> larger than the current experimental lower limit of 10−26 ecm<br />

[53]. Therefore, this upper limit requires a mechanism to preserve CP symmetry.<br />

The axion is <strong>de</strong>scribed by the spontaneous symmetry breaking scale of the Peccei-<br />

Quinn symmetry, fa, and is related to the mass, ma, as<br />

<br />

12 10 GeV<br />

ma 6µeV<br />

(1.26)<br />

and the axion-photon coupling gaγγ is <strong>de</strong>fined as<br />

fa<br />

gaγγ ≡ αgγ<br />

πfa<br />

(1.27)<br />

where α is the fine structure constant and gγ is a dimension<strong>les</strong>s mo<strong>de</strong>l <strong>de</strong>pen<strong>de</strong>nt<br />

coupling <strong>par</strong>ameter.<br />

Axions may be created in the early universe as a non-relativistic con<strong>de</strong>nsate<br />

through the “misalignment” mechanism [54]. The average axion relic <strong>de</strong>nsity is<br />

Ωah 2 ∼<br />

<br />

fa<br />

1012GeV 7/6 (1.28)<br />

1

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