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

TL;DR

This paper calculates the strong decay coupling constant for the $elta^{++} rrow p pi$ process using light-cone QCD sum rules, aligning well with experimental data and discussing potential sources of discrepancy.

Contribution

It provides a novel calculation of the strong coupling constant for the $elta^{++} rrow p pi$ decay using light-cone QCD sum rules, including analysis of theoretical uncertainties.

Findings

The calculated $g_{elta N pi}$ is consistent with experimental data.

Discrepancies may be due to neglecting perturbative $lpha_s$ corrections.

The method offers a reliable approach to studying strong decays in QCD.

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.