QCD sum rules study on weak decays $Ω_c^0\toΩ^- (π^+, ρ^+, l^+ν_l)$

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Main Authors: Shi, Yu-Ji, Zeng, Jun
Format: Preprint
Published: 2025
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author Shi, Yu-Ji
Zeng, Jun
author_facet Shi, Yu-Ji
Zeng, Jun
contents We study the weak decays of the charmed baryon $Ω_c^0$ to the $Ω^-$ baryon within the framework of QCD sum rules. A three-point correlation function is defined for calculating eight form factors governing the $Ω_c^0 \to Ω^-$ transition. The cutting rules are employed to extract the double imaginary parts of the correlation functions, enabling their expression in the form of dispersive integrals. These form factors are then used to determine the branching fractions for the hadronic decays $Ω_c^0 \to Ω^- π^+$ and $Ω_c^0 \to Ω^- ρ^+$, as well as the semi-leptonic decay $Ω_c^0 \to Ω^- \ell^+ ν_\ell$. Our results are compared with existing theoretical predictions and experimental data, providing a comprehensive analysis of $Ω_c^0$ decays and offering valuable insights into the dynamics of charmed baryon decays.
format Preprint
id arxiv_https___arxiv_org_abs_2503_18628
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle QCD sum rules study on weak decays $Ω_c^0\toΩ^- (π^+, ρ^+, l^+ν_l)$
Shi, Yu-Ji
Zeng, Jun
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We study the weak decays of the charmed baryon $Ω_c^0$ to the $Ω^-$ baryon within the framework of QCD sum rules. A three-point correlation function is defined for calculating eight form factors governing the $Ω_c^0 \to Ω^-$ transition. The cutting rules are employed to extract the double imaginary parts of the correlation functions, enabling their expression in the form of dispersive integrals. These form factors are then used to determine the branching fractions for the hadronic decays $Ω_c^0 \to Ω^- π^+$ and $Ω_c^0 \to Ω^- ρ^+$, as well as the semi-leptonic decay $Ω_c^0 \to Ω^- \ell^+ ν_\ell$. Our results are compared with existing theoretical predictions and experimental data, providing a comprehensive analysis of $Ω_c^0$ decays and offering valuable insights into the dynamics of charmed baryon decays.
title QCD sum rules study on weak decays $Ω_c^0\toΩ^- (π^+, ρ^+, l^+ν_l)$
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2503.18628