6533b871fe1ef96bd12d0e02

RESEARCH PRODUCT

Chiral coupled channel dynamics of theΛ(1520)and theK−p→π0π0Λreaction

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description

We study the $\ensuremath{\Lambda}(1520){D}_{03}$ in a chiral coupled channel approach. This resonance appears to be dynamically generated from the interaction of the decuplet of baryons and the octet of mesons in s wave, and its treatment is improved here with the phenomenological inclusion of the $\overline{K}N$ and $\ensuremath{\pi}\ensuremath{\Sigma}$ channels in d wave. Since the most important building block in $\ensuremath{\Lambda}(1520)$ is the $\ensuremath{\pi}{\ensuremath{\Sigma}}^{*}(1385){P}_{13}$ channel, we study the ${K}^{\ensuremath{-}}p\ensuremath{\rightarrow}\ensuremath{\pi}{\ensuremath{\Sigma}}^{*}(1385)({\ensuremath{\pi}}^{0}\ensuremath{\Lambda})$ reaction in the region of $\ensuremath{\Lambda}(1520)$ and above, and compare the results with recent experimental data. With the coupling of $\ensuremath{\Lambda}(1520)$ to the $\ensuremath{\pi}{\ensuremath{\Sigma}}^{*}$ channel predicted by the theory, we find a cross section in good agreement with the data. There is also agreement for the invariant mass distributions which show a neat peak for ${\ensuremath{\Sigma}}^{*}(1385)$ in the $({\ensuremath{\pi}}^{0}\ensuremath{\Lambda})$ spectrum. Predictions are made of a strong $\ensuremath{\Lambda}(1520)$ resonant peak of the cross section, as a function of the ${K}^{\ensuremath{-}}$ momentum, in the region below the measured data, which, if confirmed experimentally, would give stronger support to the idea of $\ensuremath{\Lambda}(1520)$ as a dynamically generated resonance.