Relic Abundance of Asymmetric Dark Matter in Quintessence

We investigate the relic abundance of asymmetric Dark Matter particles in quintessence model with a kination phase. The analytic calculation of the asymmetric Dark Matter in the standard cosmological scenario is extended to the nonstandard cosmological scenario where we specifically discuss the quintessence model with a kination phase. We found that the enhancement of Hubble rate changes the relic density of particles and anti--particles. We use the present day Dark Matter abundance to constrain the Hubble rate in quintessence model with a kination phase for asymmetric Dark Matter.