Effect of tritium reduction in determining energy gain by using R-matrix method direct laser fusion in D-T reaction

Abstract

The laser fusion criterion is known as the ρ R-Criterion, also called high-gain condition. This parameter is temperature dependent and can be calculated by R-matrix method. This method is applied for determining improved fusion cross-section for the reactions T(d,n) 4He, 3He(d,p) 4He, D(d,p)T, D(d,n) 3He. In this paper the time dependent reaction rate equations for fusion reaction T(d,n) 4He are solved and by using the obtained results we computed the fusion power density, energy gain versus temperature and ρ R-parameter. The obtained results show that a suitable combination may be a deuterium fraction f D=0.65 and f r=0.35 which would lead 30% reduction in the tritium content of the fuel mixture, and this choice would not change the energy gain value very much. Finally, the obtained energy gain for D-T reaction by using R-matrix is in good agreement with other theories.