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- W2232976538 startingPage "327" @default.
- W2232976538 abstract "Transition rates for the final states ${ensuremath{Sigma}}^{0}+n+n$ and $ensuremath{Lambda}+n+n$ are calculated in impulse approximation for ${ensuremath{Sigma}}^{ensuremath{-}}d$ capture from rest, taking into account the $^{1}S_{0}$ $nensuremath{-}n$ attraction and the tensor term in the ${ensuremath{Sigma}}^{ensuremath{-}}pensuremath{rightarrow}ensuremath{Lambda}n$ transition amplitude. Using the ${ensuremath{Sigma}}^{ensuremath{-}}pensuremath{rightarrow}{ensuremath{Sigma}}^{0}n$ and ${ensuremath{Sigma}}^{ensuremath{-}}pensuremath{rightarrow}ensuremath{Lambda}n$ amplitudes calculated for global symmetry by de Swart and Dullemond, the branching ratio $frac{{ensuremath{Sigma}}^{0}}{({ensuremath{Sigma}}^{0}+ensuremath{Lambda})}$ obtained is 0.24, compared with the observed ratio 0.037ifmmodepmelsetextpmfi{}0.022. The uncertainties in the comparison between the observed and calculated ratios are discussed in detail, especially those concerned with the validity of the impulse approximation, in view of the near-resonant $ensuremath{Sigma}N$ interaction in the global symmetry model, and the question of the appropriate form of the spin average, in view of the strong electromagnetic spin-orbit forces in the ${ensuremath{Sigma}}^{ensuremath{-}}d$ atom. It is concluded that the appropriate spin average is $frac{2}{3}{[frac{{ensuremath{Sigma}}^{0}}{({ensuremath{Sigma}}^{0}+ensuremath{Lambda})}]}_{S=frac{3}{2}}+frac{1}{3}{[frac{{ensuremath{Sigma}}^{0}}{({ensuremath{Sigma}}^{0}+ensuremath{Lambda})}]}_{S=frac{1}{2}}$ within corrections of about 10%. Agreement with the experimental ratio appears unlikely with global symmetry, even when these uncertainties are taken into account." @default.
- W2232976538 created "2016-06-24" @default.
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- W2232976538 date "1963-04-01" @default.
- W2232976538 modified "2023-09-25" @default.
- W2232976538 title "Σ−Capture in Deuterium" @default.
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- W2232976538 doi "https://doi.org/10.1103/physrev.130.327" @default.
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