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Journal of Physical Studies 7(2), 127–139 (2003)
DOI: https://doi.org/10.30970/jps.07.127 THREE-BODY THEORY OF THE PENETRATION OF A CHARGED PARTICLE THROUGH COULOMB FIELD OF A TWO-FRAGMENT NUCLEUSV. F. Kharchenko1, A. V. Kharchenko{1,2}
1Bogolyubov Institute for Theoretical Physics,
Nat. Acad. Sci. of Ukraine |
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A consistent three-body approach to the study of the penetration of a charged particle through the Coulomb field of a two-particle bound complex (composed of a charged and neutral particles) has been developed. A general formalism has been elaborated and on its basis the influence of the Coulomb field within the two-particle complex on the magnitude of the probability of finding an incident charged particle at the centre of mass of the complex has been studied. A formula for the relative difference of the penetration factors (to a charged particle) for the Coulomb field of the two-particle complex and for the Coulomb field of the corresponding point charge has been derived. In the first approximation in the Sommerfield parameter, the effect of the target structure on the probabilities of closing in of some charged particles (the muon, the pion, the kaon and the proton) on two-fragment nuclei (the deuteron and two lightest lambda hypernuclei, $_{Λ}^3\mbox{H}$ and $_{Λ}^5\mbox{He}$) has been calculated.
PACS number(s): 03.65.Nk, 21.45.+v, 21.80.+a