Monte Carlo calculation of muonic molecules Original Research Article

In this paper we report the results of the Green Function Monte Carlo calculation of ground state parameters for a wide set of muonic molecules. Properties of muonic molecules attract a lot of attention due to several reasons. The main one is related to the hope on efficiency of muon catalyzed thermonuclear fusion. The ground state energy, sticking probability for dtμ, pdμ and ddμ molecules have been estimated. Also more exotic complexes including light nuclei 3He and 4He were considered. It was supposed that only Coulomb interactions act between particles. In all cases geometric parameters of the molecule were calculated. Graphs of ground state wave functions obtained by the GFMC make it possible to compare the structure of the bound state in different cases. Despite the yet unsolved problem of the influence of nuclear forces on the fusion characteristics, this kind of calculations help to evaluate the contribution of Coulombic interactions into the physical picture of muon catalysed fusion.