Exploring the Relation between \Gamma and H in the Early Universe

Magister
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Does anyone know where I can learn more about the relation between the reaction rate ( [itex]\Gamma[/itex] ) of the primordial elements and the Hubble parameter ( [itex]H[/itex] ) at the early universe? Principaly at the transition from the radiation dominated era to the the matter dominated era?
 
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on Phys.org
Thanks. But I need something more detailed...
 

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