A Study Of The New Agegraphic Dark Energy In A Non-flat Universe

Recent years, the astronomical observations data (such as Type Ia super-novae, the probing of the cosmic microwave background (CMB) anisotropy andconstraints from large scale structure (LSS)) has proved that our universe is go-ing through a phase of accelerated expansion at the present time. People haveproposed many kinds of theories to explain the acceleration and it has become ahot-point problem. Among these theories, the best one is dark energy. It arguesthat our universe is full of some fantastic"matter"whose pressure is negative,and can provide the exclusion which counteract the gravitation, therefore it drivesthe acceleration. Lots of dark energy scenarios have been proposed so far, andeach of them has some advantage and shortage.In this paper, we will further investigate the new Agegraphic dark energymodel with interaction in a non-?at universe. We take three di?erent forms of theinteraction term to discuss the evolutions of some related cosmological quantities.By analysis, we find that it is more reasonable to takeΓ= 3b~2Hρ_q as the inter-action term, and the EoS can cross -1. Furthermore, by applying two geometricaldiagnostic approaches, i.e., the statefinder and Om diagnostics to the new model,we plot the evolutionary trajectories of the statefinder and Om parameters inr - s, r - q, w_q' - w_q planes and Om plane. We have shown that the constants nand b~2 play very important roles in the new Agegraphic dark energy model, andimpact the evolutionary of the cosmological quantities. Moreover, the di?erencebetween the model with and without interaction is obvious from the statefinderfigures. Meanwhile, we can distinguish the new model, the old model and LCDMmodel in Om plane.