Three-body treatment of the penetration through the Coulomb field of a two-fragment nucleus

Details Three-body treatment of the penetration through the Coulomb field of a two-fragment nucleus Three-body treatment of the penetration through the Coulomb field of a two-fragment nucleus

2005-09-30

arxiv.org/abs/nucl-th/0509104v1

Int. J. Mod. Phys. E Vol.15, No.6 (2006) 1291-1316

Physics

Nuclear Physics

Nuclear Theory

LaTeX, 30 pages, 4 eps figures

Scientific paper

10.1142/S0218301306004855

On the basis of the Faddeev integral equations method and the Watson- Feshbach concept of the effective (optical) interaction potential, the first fully consistent three-body approach to the description of the penetration of a charged particle through the Coulomb field of a two-particle bound complex (composed of one charged and one neutral particles) has been developed. A general formalism has been elaborated and on its basis, to a first approximation in the Sommerfeld parameter, the influence of the nuclear structure on the probability of the penetration of a charged particle (the muon, the pion, the kaon and the proton) through the Gamow barrier of a two-fragment nucleus (the deuteron and the two lightest lambda hypernuclei, lambda hypertriton and lambda hyperhelium-5, has been calculated and studied.

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