Approximations used in calculating many-body effects in resonant ((dt. mu. )dee) formation

Journal Article · Wed Feb 01 04:00:00 EST 1989 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.39.946· OSTI ID:6347680

Cohen, J S; Leon, M

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), Journal Name: Phys. Rev. A; (United States) Vol. 39:3; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640303* -- Atomic
Molecular & Chemical Physics-- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules
74 ATOMIC AND MOLECULAR PHYSICS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
DENSITY
DEUTERIUM TRITIDE
HYDROGEN ISOTOPES
IMPACT PARAMETER
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
MESIC MOLECULES
MOLECULES
MUON-CATALYZED FUSION
MUONIC MOLECULES
NUCLEAR REACTIONS
NUCLEI
NUCLEOSYNTHESIS
ODD-EVEN NUCLEI
PHYSICAL PROPERTIES
RADIOISOTOPES
RESONANCE
SYNTHESIS
THERMONUCLEAR REACTIONS
TRITIUM
YEARS LIVING RADIOISOTOPES