Analysis ofY0*(1520) and Determination of theΣParity

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Abstract

The interaction of ${K}^{\ensuremath{-}}$ mesons on protons resulting in elastic and charge-exchange scattering and hyperon production are reported for a range of momenta from 250 to 513 MeV/c. About 10 000 events obtained in the Lawrence Radiation Laboratory's 15-in. bubble chamber were analyzed. Differential and total cross sections for all channels are examined. For ${\ensuremath{\Sigma}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, ${\ensuremath{\Sigma}}^{0}{\ensuremath{\pi}}^{0}$, and $\ensuremath{\Lambda}{\ensuremath{\pi}}^{0}$ production, polarization measurements are also available. A resonant state is identified with a mass 1519 MeV and a full width $\ensuremath{\Gamma}=16$ MeV, decaying into $\overline{K}N$, $\ensuremath{\Sigma}\ensuremath{\pi}$, and $\ensuremath{\Lambda}\ensuremath{\pi}\ensuremath{\pi}$ in the branching ratio 30:55:15, respectively. The resonance is found to have isotopic spin 0 and spin $\frac{3}{2}$, and its parity is that of the $\overline{K}N$ ${D}_{\frac{3}{2}}$ state. By use of the polarization arising from the ${D}_{\frac{3}{2}}\ensuremath{-}S$-wave interference, a strong argument for negative $\mathrm{KN}\ensuremath{\Sigma}$ parity is obtained. All the data are fitted to a model based on a Breit-Wigner resonant amplitude and nonresonant $S$, $P$, and $D$ amplitudes, parametrized by constant scattering lengths. An extensive search for ${\ensuremath{\chi}}^{2}$ minima was done on an IBM-7090 computer under various assumptions for the spin and parity of the resonance. Only the ${D}_{\frac{3}{2}}$ possibility in both ${K}^{\ensuremath{-}}p$ and $\ensuremath{\Sigma}\ensuremath{\pi}$ states yields a satisfactory (43% probability) fit. A ${D}_{\frac{5}{2}}$ ${K}^{\ensuremath{-}}p$ resonance (with $\ensuremath{\Sigma}\ensuremath{\pi}$ in ${F}_{\frac{5}{2}}$) is the nearest alternative possibility, with a likelihood of less than 1% of fitting the data.

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