Solving dynamics equations of plasma in fusion-fission hybrid reactor core is performed by using Runge-kutta method.Taking different step-length at different time segment is used through computation which can ensure the solution accuracy and save CPU time. There obtained solution curves fully display burning process of plasma in reactor core. In addition, value feedack control method applies to optimization and control of solution curves.

In this paper, the Monte Carlo method is used to calculate the energy spectrum of gamma rays emitted in the three photon annihilation of positrons and electrons. Our results are compared with the results of calculation obtained by QED and experiment. These three results mentioned above are in agreement quite well.