A new data for Fusion power density has been obtained for T-3He and T-T fusion reactions, power density is a substantial term in the researches related to the fusion energy generation and ignition calculations of magnetic confined systems. In the current work, thermal nuclear reactivities, power densities of a fusion reactors and the ignition condition inquiry are achieved by using a new and accurate formula of cross section, the maximum values of fusion power density for T-3He and TT reaction are 1.1×107 W/m3 at T=700 KeV and 4.7×106 W/m3 at T=500 KeV respectively, While Zeff suggested to be 1.44 for the two reactions. Bremsstrahlung radiation has also been determined to reaching self- sustaining reactors, Bremsstrahlung values are 4.5×106 W/m3 at T=700 MeV and 3.8×106 W/m3 at T=500 MeV for T-3He and TT reaction respectively, ignation values then are 136 KeV for T-T and 155 KeV for T-3He. So small Zeff mean small ignition and large fusion power. Tritium Fusion Reactions have large ignition temperature than deuterium reactions.

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In this paper, we focused on the investigated and studied the cold fusion reaction rate for D-D using the theory of Bose-Einstein condensation and depending on the quantum mechanics consideration. The quantum theory was based on the concept of single conventional of deuterons in Nickel-metal due to Bose-Einstein condensation, it has supplied a consistent description and explained of the experimental data. The analysis theory model has capable of explaining the physical behaviour of deuteron induced nuclear reactions in Nickel metals upon the five-star matter, it‘s the most expected for a quantitative predicted of the physical theory. Based on the Bose-Einstein condensation theorem formulation, we calculation the cold fusion reaction rate for D-D transfer to Nickel-metal using the astrophysical S factors (S = 110KeV — barn) for d(d,p)T, d(d, n)3He reactions and (S = 110 × 106 and S = 110 × 1013KeV — barn) for D + D × 4 He + 23.8MeV reaction. The results of the calculation for three reactions give rise a wide compatible with the other experimental works.

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