Hadronic Coupling Constants in Lattice QCD

TL;DR

This paper computes key hadronic coupling constants in lattice QCD with dynamical quarks, providing results that are comparable to experimental values, thus advancing understanding of strong interactions.

Contribution

The study introduces lattice QCD calculations of hadronic coupling constants including dynamical quarks, with results consistent with experimental data.

Findings

Calculated $g_{NN o ext{pi}}$ as 13.8 ± 5.8, close to experimental 13.13 ± 0.07.

Estimated $g_{ ho o ext{pi} ext{pi}}$ as 4.2 ± 1.9, compared to experimental 6.06 ± 0.01.

Demonstrated the feasibility of computing hadronic couplings with staggered fermions in lattice QCD.

Abstract

We calculate the hadronic coupling constants $g_{NN\pi}$ and $g_{\rho\pi\pi}$ in QCD, including dynamical quarks in the framework of staggered fermions in the lattice approach. For the nucleon--pion coupling we obtain $g_{NN\pi} = 13.8 \pm 5.8$, to be compared with the experimental value $13.13 \pm 0.07$. The $\rho\pi\pi$ coupling has been analysed for two different sets of operators with the averaged result $g_{\rho\pi\pi} = 4.2 \pm 1.9$ which is to be compared with the experimental value $6.06 \pm 0.01$.