Weak decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:math>for the study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo>(</mml:mo><mml:mn>1405</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo>(</mml:mo><mml:mn>1670</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>

Kenta Miyahara, Tetsuo Hyodo, Eulogio Oset

doi:10.1103/physrevc.92.055204

We study the ${\mathrm{\ensuremath{\Lambda}}}_{c}$ decay process to ${\ensuremath{\pi}}^{+}$ and the meson-baryon final state for the analysis of $\mathrm{\ensuremath{\Lambda}}$ resonances. Considering the Cabibbo-Kobayashi-Maskawa matrix, color suppression, diquark correlation, and the kinematical condition, we show that the final meson-baryon state should be in a pure $I=0$ combination, when the meson-baryon invariant mass is small. Because the $I=1$ contamination usually makes it difficult to analyze $\mathrm{\ensuremath{\Lambda}}$ resonances directly from experiments, the ${\mathrm{\ensuremath{\Lambda}}}_{c}$ decay is an ideal process to study $\mathrm{\ensuremath{\Lambda}}$ resonances. Calculating the final-state interaction by chiral unitary approaches, we find that the $\ensuremath{\pi}\mathrm{\ensuremath{\Sigma}}$ invariant mass distributions have the same peak structure in the all charge combination of the $\ensuremath{\pi}\mathrm{\ensuremath{\Sigma}}$ states related to the higher pole of the two poles of the $\mathrm{\ensuremath{\Lambda}}(1405)$. Furthermore, we obtain a clear $\mathrm{\ensuremath{\Lambda}}(1670)$ peak structure in the $\overline{K}N$ and $\ensuremath{\eta}\mathrm{\ensuremath{\Lambda}}$ spectra.

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