RESONANT NUCLEAR TRANSITION IN THE D-MU-LI-6 MUONIC MOLECULE

Citation
Sa. Rakityansky et al., RESONANT NUCLEAR TRANSITION IN THE D-MU-LI-6 MUONIC MOLECULE, Physical review. A, 54(2), 1996, pp. 1242-1251
Citations number
26
Categorie Soggetti
Physics
Journal title
ISSN journal
10502947
Volume
54
Issue
2
Year of publication
1996
Pages
1242 - 1251
Database
ISI
SICI code
1050-2947(1996)54:2<1242:RNTITD>2.0.ZU;2-R
Abstract
The reaction rate of the nuclear fusion d Li-6-->Be-8(2(+),0) is esti mated in the case where the nuclei are confined to each other by a muo n. For the description of nuclear transitions. a method that is analog ous to the linear combination of atomic orbitals has been used. Using the complex coordinate rotation method, we found that a molecular d-mu -Li-6 state exists with energy (-20.3084-i0.0066) eV and \Psi(m)(0)\=0 .44 10(-7) fm-(3/2). The nuclear wave functions needed were constructe d in the form of antisymmetrized products of harmonic-oscillator funct ions for the three-cluster approximation (dd alpha) to the five-body ( NNNN alpha) problem. It was found that the reaction rate lambda is str ongly dependent on the energy gap between the d Li-6 threshold and the energy of the final Be-8 resonant state. The value of lambda obtaine d by averaging over the width of this resonance is 0.183x10(10) sec(-1 ).