Narrow Results

It is shown that the cycling rate in the optimum tritium concentration in μCF and in the n=2, J=1, ν=0 state is 2.35 times higher than in n=1, J=ν=0 state. The methods to explore forced μCF of the n=2 state is discussed. Although the n=2 state shows to be more efficient in terms of its cycling rate, all suggested drivers seems to be useless with respect to the input energy requirement and short life-time of resonance states. It is shown that even using x-ray sources as a driver, and designing hybrid system, the suggested forced hybrid system energy gain is 13 and very good gain enhancement but still is far away to be of interest for practical applications with respect to very short life-time of resonance states.

The hyper-spherical adiabatic expansion is a representation for the investigation of the muonic three-body bound states. In this research we have used the method of hyper-spherical "surface" functions for charge-nonsymmetric muonic molecules (isotopes of helium-deuterium-muon). Through this approach, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecular ions are calculated in extreme adiabatic approximation. The obtained results are close to other's calculation.

In the pdμ system, fusion occurs from four incoherent hyperfine states, with varying combinations of pd nuclear spins (3/2 or 1/2). The two possible fusion products, 5.5 MeV gammas and 5.3 MeV conversion muons, is dependent on which nuclear hyperfine state the molecule is in (S=1/2 or 3/2). At low temperatures, the hyperfine splitting in the μd atom alters the final state of nuclear spins in the pdμ molecule. 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 pdμ molecule and enhancing the doublet (S=1/2) state. Since the fusion rates depend on the nuclear states, the quartet state only fuses with γ-emission, so having more of the doublet state changes the ratio of gamma to conversion muon yields. The doublet rate is dominant, thus total fusion yield increases with deuterium concentration until the lack of protium atoms significantly reduces the rate of pdμ molecule formation and ddμ fusion dominates completely. The kinematics of pdμ system are studied by Monte-Carlo method using "Lsode" computer code. The Wolfenstein–Gerstein effect and no-quartet theorem in the solid H/D mixture 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, and is valid only if one neglects the mixed-symmetry components.

The hyper-spherical adiabatic expansion is a representation for the investigation of the muonic three-body bound states. In this research, we have used the method of hyper-spherical "surface" functions for the muonic molecule, tritium-tritium-muon. Through this approach, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecular ions are calculated in the extreme adiabatic approximation. The results obtained are close to the calculation of other researchers.