MUONIC PROCESSES DYNAMIC IN SOLID HETEROGENEOUS H/D/T MIXTURE

Abstract

The Ramsauer–Townsend effect in hydrogen is used in a heterogeneous solid hydrogen-deuterium-tritium (H/D/T) multi-layer system to provide forced resonance muonic deuterium-tritium molecule formation. The effects of hyperfine splitting in the μd atom on the final state of nuclear spins are studied in the μpd molecule at low temperature. As deuterium concentration increases, so does the spin-flip rate, thus reducing the initial population of the quartet (s=3/2) nuclear spin of the μpd molecule and enhancing the doublet (s=1/2) state. The doublet rate is dominant, and total fusion yield increases with deuterium concentration until the lack of protium atoms significantly reduces the rate of μpd molecule formation and μdd fusion dominates completely. The Wolfenstein–Gerstein effect and the no-quartet theorem in the solid H/D layer are considered by solving the muon dynamical equations for various deuterium concentrations. It is shown that the no-quartet theorem is not valid at low temperature and deuterium concentration, but is valid only if one neglects the mixed-symmetry components. The written coupled linear point dynamical equations for the suggested system are solved using the "Lsode" computer code. The results obtained for the optimum layer thicknesses and deuterium concentration are compared with the results of a solid homogeneous deuterium-tritium system in the same physical condition (temperature, density and deuterium concentration). It is shown that for the same physical conditions, the muon cycling coefficient of two isotopes of deuterium-tritium (D/T) has only 2.7% of the muon cycling coefficient of the suggested forced solid heterogeneous H/D/T fusion system. It is shown that with very little deuterium concentration (cd=0.005), the obtained muon cycling rate and coefficient are ~147 μ s -1 and 178, respectively.