Three-body theory of the penetration of a charged particle through Coulomb field of a two-fragment nucleus

Abstract

On the basis of the Faddeev integral equations method and the Watson-Feshbach concept of the effective (optical) interaction potential, the first fully consistent threebody 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, 3 Λ H and 5 Λ He) has been calculated and studied.