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- W2020122912 abstract "The proton-hydrogen charge-exchange amplitude is evaluated using the first-order terms in the Faddeev expansion for the corresponding transition operator. The new Coulomb $T$ matrix derived by us recently is employed in computing the cross sections. For high energies of the incident proton, the Coulomb $T$ matrix approaches the Coulomb potential to order ${v}^{ensuremath{-}1}$ $mathrm{ln}v$ in contrast to the situation for a short-range potential ($ensuremath{sim}{v}^{ensuremath{-}2}$). In the extreme high-energy limit the results of the first-order Faddeev-Watson approximation approach those of the Jackson-Schiff approximation. Explicit numerical calculation in the energy region 100 keV to 3 MeV shows that the cross sections lie in between those of the Brinkman-Kramers and Jackson-Schiff (JS) results and they approach the JS results from above. This is in contradistinction to our previous work based on an incorrect form of the $T$ matrix." @default.
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- W2020122912 date "1972-07-01" @default.
- W2020122912 modified "2023-09-27" @default.
- W2020122912 title "CoulombTMatrix and the Proton-Hydrogen Charge Exchange" @default.
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- W2020122912 doi "https://doi.org/10.1103/physreva.6.268" @default.
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