Interpretation of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant="normal">Ω</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2012</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mover accent="true"><mml:mi>K</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">Ξ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> relative to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mover accent="true"><mml:mi>K</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">Ξ</mml:mi></mml:math> from the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Ω</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2012</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> molecular perspective

Abstract

We present a mechanism for ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}\mathrm{\ensuremath{\Omega}}(2012)$ production through an external emission Cabibbo favored weak decay mode, where the $\mathrm{\ensuremath{\Omega}}(2012)$ is dynamically generated from the interaction of $\overline{K}{\mathrm{\ensuremath{\Xi}}}^{*}(1530)$ and $\ensuremath{\eta}\mathrm{\ensuremath{\Omega}}$, with $\overline{K}\mathrm{\ensuremath{\Xi}}$ as the main decay channel. The $\mathrm{\ensuremath{\Omega}}(2012)$ decays later to $\overline{K}\mathrm{\ensuremath{\Xi}}$ in this picture, with results compatible with Belle data. As a consequence, one can evaluate the direct decay ${\mathrm{\ensuremath{\Omega}}}_{c}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{K}^{\ensuremath{-}}{\mathrm{\ensuremath{\Xi}}}^{0}$ and the decay ${\mathrm{\ensuremath{\Omega}}}_{c}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}\overline{K}{\mathrm{\ensuremath{\Xi}}}^{*}$, ${\ensuremath{\pi}}^{+}\ensuremath{\eta}\mathrm{\ensuremath{\Omega}}$ with direct couplings of $\overline{K}{\mathrm{\ensuremath{\Xi}}}^{*}$ and $\ensuremath{\eta}\mathrm{\ensuremath{\Omega}}$ to ${K}^{\ensuremath{-}}{\mathrm{\ensuremath{\Xi}}}^{0}$. We show that, within uncertainties and using data from a recent Belle measurement, all three channels account for about (12--20)% of the total ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{K}^{\ensuremath{-}}{\mathrm{\ensuremath{\Xi}}}^{0}$ decay rate. The consistency of the molecular picture with all the data is established by showing that ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}^{0}{\overline{K}}^{*0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}^{0}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ and ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\mathrm{\ensuremath{\Omega}}}^{*}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{K}^{\ensuremath{-}}{\mathrm{\ensuremath{\Xi}}}^{0}$ account for about 85% of the total ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{K}^{\ensuremath{-}}{\mathrm{\ensuremath{\Xi}}}^{0}$.

Topics & Concepts