K−pAmplitudes near theΛ(1520)
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Abstract
${\overline{K}}^{0}n$, $\ensuremath{\Lambda}{\ensuremath{\pi}}^{0}$, and ${\ensuremath{\Sigma}}^{0}{\ensuremath{\pi}}^{0}$ final-state cross sections and $\ensuremath{\Lambda}{\ensuremath{\pi}}^{0}$ and ${\ensuremath{\Sigma}}^{0}{\ensuremath{\pi}}^{0}$ polarizations are obtained in ${K}^{\ensuremath{-}}p$ interactions, for ${P}_{{K}^{\ensuremath{-}}}$ in the range 350-430 MeV/c, near the $\ensuremath{\Lambda}(1520)$ resonance. Two fits to the partial-wave amplitudes have been found, both assuming a standard Breit-Wigner amplitude for the $\ensuremath{\Lambda}(1520)$ resonance and a constant-scattering-length ${D}_{\frac{3}{2}}$ isospin-1 amplitude, but differing in their treatment of the $S$- and $P$-wave backgrounds. One method used a constant $K$ matrix, the other a momentum-dependent effective-range expansion for the inverse of the $K$ matrix. From the fitted partial waves, an upper limit of 10% is set for an isospin mixing between the $\ensuremath{\Lambda}{\ensuremath{\pi}}^{0}$ and ${\ensuremath{\Sigma}}^{0}{\ensuremath{\pi}}^{0}$ amplitudes.