Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-04-20
Phys.Rev.D80:043505,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 5 figures. Comments and references added
Scientific paper
10.1103/PhysRevD.80.043505
Approximate analytical solutions of the Boltzmann equation for particles that are either extremely relativistic or non-relativistic when they decouple from the thermal bath are well established. However, no analytical formula for the relic density of particles that are semi-relativistic at decoupling is yet known. We propose a new ansatz for the thermal average of the annihilation cross sections for such particles, and find a semi-analytical treatment for calculating their relic densities. As examples, we consider Majorana- and Dirac-type neutrinos. We show that such semi-relativistic relics cannot be good cold Dark Matter candidates. However, late decays of meta-stable semi-relativistic relics might have released a large amount of entropy, thereby diluting the density of other, unwanted relics.
Drees Manuel
Kakizaki Mitsuru
Kulkarni Suchita
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