Charmed baryon <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi>c</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi mathvariant="normal">Ω</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>l</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msub><mml:mi>ν</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi>c</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mo stretchy="false">→</mml:mo><mml:msubsup><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi>c</mml:mi><mml:mo>−</mml:mo></mml:msubsup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>ρ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> decays in light cone sum rules
T. M. Aliev, M. Savcı, S. Bilmiş
Abstract
The semileptonic ${\mathrm{\ensuremath{\Omega}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Omega}}}^{\ensuremath{-}}l\ensuremath{\nu}$ and nonleptonic ${\mathrm{\ensuremath{\Omega}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Omega}}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$, ${\mathrm{\ensuremath{\Omega}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Omega}}}^{\ensuremath{-}}{\ensuremath{\rho}}^{+}$ decays of the charmed ${\mathrm{\ensuremath{\Omega}}}_{c}$ baryon are studied within the light cone sum rules. The form factors responsible for ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}\mathrm{\ensuremath{\Omega}}$ transitions are calculated using the distribution amplitudes of the ${\mathrm{\ensuremath{\Omega}}}_{c}$ baryon. With the obtained form factors, the branching ratios of ${\mathrm{\ensuremath{\Omega}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Omega}}}^{\ensuremath{-}}{l}^{+}{\ensuremath{\nu}}_{l}$, ${\mathrm{\ensuremath{\Omega}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Omega}}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$, and ${\mathrm{\ensuremath{\Omega}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Omega}}}^{\ensuremath{-}}{\ensuremath{\rho}}^{+}$ decays are estimated. The results are compared with Belle data as well as the findings of other approaches.