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• W2029122474 startingPage "1489" @default.
• W2029122474 abstract "The degree of charge-independence violation for the low-energy nucleon-nucleon system is studied on the basis of a semiphenomenological meson theory. The difference between the singlet $nensuremath{-}p$ and $nensuremath{-}n$ scattering lengths induced by the ${ensuremath{pi}}^{ifmmodepmelsetextpmfi{}}ensuremath{-}{ensuremath{pi}}^{0}$ and ${ensuremath{rho}}^{ifmmodepmelsetextpmfi{}}ensuremath{-}{ensuremath{rho}}^{0}$ ($ensuremath{Delta}m$) electromagnetic mass splittings is investigated for the one-pion-, two-pion-, and $ensuremath{rho}$-exchange potentials. A charge-independent boundary condition is used to replace the short-range behavior. It is found that approximately 60% of the measured difference between the scattering lengths can be accounted for by the one-pion and two-pion potentials with charge-independent pseudoscalar coupling. The calculated results are sensitive to parameters of the $ensuremath{rho}$-exchange potential, such as $ensuremath{Delta}m$ and coupling constants, which are not well known. The dependence of the scattering lengths on these parameters is found. Finally, we note that a negative $ensuremath{Delta}m$, or a change of the order of 2% in the boundary condition or in the ratio of charged to neutral coupling constants, can account for the discrepancy that remains after pion electromagnetic mass splittings are included." @default.
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• W2029122474 date "1966-01-28" @default.
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• W2029122474 title "n−nandn−pScattering Lengths and Charge Independence" @default.
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• W2029122474 doi "https://doi.org/10.1103/physrev.141.1489" @default.
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