Approximations used in calculating many-body effects in resonant ((dt. mu. )dee) formation
The approximations needed to treat the resonant formation of the compound molecule ((dt..mu..)dee)/sup */ as a line-broadening process are examined. The necessary criteria for applying the impact (Lorentzian) approximation are shown to be seriously violated under the usual conditions of muon-catalyzed fusion. Neither the condition for binary collisions nor the requirement that the detuning not be too large holds. A much more appropriate description is the many-body quasistatic approximation, which is valid for large detunings at any density and for practically the whole profile at high densities. The convenient factorization of the three-body rate into a convolution of a two-body rate with a broadening factor is shown to hold within some approximations, but the broadening factor itself depends on the transition being considered.
- Research Organization:
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545
- OSTI ID:
- 6347680
- Journal Information:
- Phys. Rev. A; (United States), Vol. 39:3
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
DEUTERIUM TRITIDE
MUONIC MOLECULES
SYNTHESIS
MUON-CATALYZED FUSION
MANY-BODY PROBLEM
DENSITY
IMPACT PARAMETER
RESONANCE
TRITIUM
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
HYDROGEN ISOTOPES
ISOTOPES
LIGHT NUCLEI
MESIC MOLECULES
MOLECULES
NUCLEAR REACTIONS
NUCLEI
NUCLEOSYNTHESIS
ODD-EVEN NUCLEI
PHYSICAL PROPERTIES
RADIOISOTOPES
THERMONUCLEAR REACTIONS
YEARS LIVING RADIOISOTOPES
640303* - Atomic
Molecular & Chemical Physics- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules