Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-10-21
Phys.Rev. D61 (2000) 123509
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, LATEX file with 2 PS figures
Scientific paper
10.1103/PhysRevD.61.123509
A convenient form of kinetic equation is derived for pair annihilation of heavy stable particles relevant to the dark matter problem in cosmology. The kinetic equation thus derived extends the on-shell Boltzmann equation in a most straightforward way, including the off-shell effect. A detailed balance equation for the equilibrium abundance is further analyzed. Perturbative analysis of this equation supports a previous result for the equilibrium abundance using the thermal field theory, and gives the temperature power dependence of equilibrium value at low temperatures. Estimate of the relic abundance is possible using this new equilibrium abundance in the sudden freeze-out approximation.
Matsumoto Sh.
Yoshimura Masaki
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