Strong decay ${\Delta }^{++}\to p\pi$ with light-cone QCD sum rules

Abstract

In this article, we calculate the strong coupling constant $g_{\Delta N\pi }$ and study the strong decay ${\Delta }^{++}\to p\pi$ with the light-cone QCD sum rules. The numerical value of the strong coupling constant $g_{\Delta N\pi }$ is consistent with the experimental data. The small discrepancy maybe due to failure to take into account the perturbative $\mathcal{O}({\alpha }_s)$ corrections.

15 pages, 2 figures, 7-version

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• Hadronic decays of mesons and baryons in the Dyson-Schwinger approach
• Analysis of the vertexes ${\Omega }_Q^{\ast }{\Omega }_Q\varphi$ and radiative decays ${\Omega }_Q^{\ast }\to {\Omega }_Q\gamma$
• Analysis of mass modifications of the vector and axial-vector heavy mesons in the nuclear matter with the QCD sum rules
• Strong decays ${\Sigma }^{\ast }\to \Sigma \pi ,\Lambda \pi$ and related strong coupling constant
• Analysis of the strong vertices of ${\Sigma }_{c}N{D}^{\ast }$ and ${\Sigma }_{b}N{B}^{\ast }$ in QCD sum rules
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