New kinetic equation for pair-annihilating particles: Generalization of the Boltzmann equation

Sh Matsumoto, Motohiko Yoshimura

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number123509
Pages (from-to)1-9
Number of pages9
JournalPhysical Review D
Volume61
Issue number12
Publication statusPublished - Jun 15 2000
Externally publishedYes

Fingerprint

Kinetic Equation
Boltzmann Equation
kinetic equations
Shell
Detailed Balance
Balance Equations
Dark Matter
Cosmology
Annihilation
Field Theory
cosmology
dark matter
Generalization
estimates
Approximation
approximation
Estimate
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)

Cite this

New kinetic equation for pair-annihilating particles : Generalization of the Boltzmann equation. / Matsumoto, Sh; Yoshimura, Motohiko.

In: Physical Review D, Vol. 61, No. 12, 123509, 15.06.2000, p. 1-9.

Research output: Contribution to journalArticle

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