Muon-catalyzed [ital dd] fusion between 25 and 150 K: Theoretical analysis
- Institut fuer Mittelenergiephysik, Oesterreichische Akademie der Wissenschaften, Boltzmanngasse 3, A-1090, Vienna (Austria)
- Kurchatov Atomic Energy Institute, Moscow 123182 (Russian Federation)
- Joint Institute for Nuclear Research, Dubna 141980 (Russian Federation)
We present a detailed theoretical analysis of experimental rates for [ital dd][mu] molecular formation and [ital d][mu] hyperfine transitions at temperatures 25.5--150 K, which were reported by Zmeskal [ital et] [ital al]. [Phys. Rev. A 42, 1165 (1990)]. Theoretical effective [ital dd][mu] formation rates are fitted to the observed rates by adjusting the [ital dd][mu] binding energy [var epsilon][sub 11], the effective [ital dd] fusion rate [tilde [lambda]][sub [ital f]], and the nonresonant [ital dd][mu] formation rate [lambda][sub nr]. The value of [var epsilon][sub 11]=[minus]1966.1[plus minus]0.2 meV is determined with extreme accuracy and agrees with the theoretical prediction within 0.1 meV. Experimental findings for [lambda][sub nr] are compatible with theory. Since the value of [tilde [lambda]][sub [ital f]] extracted from observed formation rates depends on the calculated value of [ital dd][mu] formation matrix elements [vert bar][ital V][sub [ital i][ital f][vert bar]], we present the region of pairs ([tilde [lambda]][sub [ital f]],[vert bar][ital V][sub [ital i][ital f][vert bar])] allowed by experiment. The theoretical values of [tilde [lambda]][sub [ital f]] and [vert bar][ital V][sub [ital i][ital f][vert bar]] lie outside this region. A significant discrepancy remains for the [ital d][mu] hyperfine transitions, where the theoretical rates, which consist of scattering and back-decay contributions, exceed experimental rates by [similar to]40%. Fits of the experimental data indicate that mostly the scattering contribution is smaller than calculated. The extrapolation of our fit to higher temperatures is in good agreement with other experiments on [ital dd][mu] formation.
- OSTI ID:
- 6456782
- Journal Information:
- Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 47:6; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
700360* -- Fusion Reactions-- (1992-)
BINDING ENERGY
DEUTERIUM TARGET
ENERGY
FUSION YIELD
HYPERFINE STRUCTURE
MUON-CATALYZED FUSION
NUCLEAR REACTION YIELD
NUCLEAR REACTIONS
NUCLEOSYNTHESIS
SYNTHESIS
TARGETS
TEMPERATURE DEPENDENCE
TEMPERATURE RANGE
TEMPERATURE RANGE 0013-0065 K
TEMPERATURE RANGE 0065-0273 K
THERMONUCLEAR REACTIONS
YIELDS