Rouhollah (Kouroush) Gheisari

This paper investigates forced muon catalyzed fusion in the two layers of H/T and D2 (with density \phi and \rho ( x ) , respectively ). After injection of muons into the H/T inhomogeneous mixture, start slowing down and are finally captured by the atoms of the mixture or decay with the rate of \lambda_{0}= 0.455*10^{-6}s. This means that the muonic atoms are formed, i.e. t\mu (1s). Due to Ramsauer-Townsend effect, the t\mu muonic atoms leave the first layer of H/T, enter D2 layer where chemical fusion of produced ion of dt\mu may be performed. As before, the balance equations were written as point kinematic equations were made under simplified assumptions, most important of which were. Since the t\mu atoms are not moderated promptly, transport equations must be written. Very interesting physical results arise in this theory when time-space dependent transport equations are applied. As sequences, we analytically obtained the balance equation at the boundary of two layers where corresponds with experiment result. N^{t\mu}_{E}(x,t) and N_{\mu} (t) are the numbers of t\mu(1s) muonic atoms (in 1cm 3 ) having energy of E and, that of the produced muons from the first layer, respectively. \lambda_{a} =4 * 10 ^{12} s ^{-1} is the rate of muonic atom formation and, \lambda^{non.}_{dt\mu}= 3*10^ 8 s ^{-1} being non-resonant formation rate of the dt\mu three body. Fick law was not applied here, for the moderated muonic atoms. For the numerical calculations we used Backward Implicit Method. More details of the numerical method are described in this conference, separately.