Resonant nuclear transition in the {ital d}{mu}{sup 6}Li muonic molecule

Journal Article · Thu Aug 01 04:00:00 EDT 1996 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.54.1242· OSTI ID:286607

Rakityansky, S A; Sofianos, S A ^[1]; Belyaev, V B; Korobov, V I ^[2]

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1. Physics Department, University of South Africa, P.O. Box 392, Pretoria 0001 (South Africa)
2. Joint Institute for Nuclear Research, Dubna 141980 (Russia)

The reaction rate of the nuclear fusion {ital d}{sup 6}Li{r_arrow}{sup 8}Be{sup {asterisk}}(2{sup +},0) is estimated in the case where the nuclei are confined to each other by a muon. For the description of nuclear transitions, a method that is analogous to the linear combination of atomic orbitals has been used. Using the complex coordinate rotation method, we found that a molecular {ital d}{minus}{mu}{minus}{sup 6}Li state exists with energy ({minus}20.3084{minus}{ital i}0.0066) eV and {vert_bar}{Psi}{sub {ital m}}(0){vert_bar}=0.4410{sup {minus}7} fm{sup {minus}3/2}. The nuclear wave functions needed were constructed in the form of antisymmetrized products of harmonic-oscillator functions for the three-cluster approximation ({ital dd}{alpha}) to the five-body ({ital NNNN}{alpha}) problem. It was found that the reaction rate {lambda} is strongly dependent on the energy gap between the {ital d}{sup 6}Li threshold and the energy of the final {sup 8}Be{sup {asterisk}} resonant state. The value of {lambda} obtained by averaging over the width of this resonance is 0.183{times}10{sup 10} sec{sup {minus}1}. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 286607
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 2 Vol. 54; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BERYLLIUM 6
HARMONIC OSCILLATORS
LITHIUM 6
MUONIC MOLECULES
NUCLEAR REACTION YIELD
NUCLEAR REACTIONS
RESONANCE
THRESHOLD ENERGY
WAVE FUNCTIONS