On the strong coupling $N^{(*)}N^{(*)}π$

Abstract

We study the strong vertices $N^*Nπ$, $N^*N^*π$ and $NNπ$ in QCD, where $N^*$ denotes the negative parity $N (1535)$ state. We use the most general form of the interpolating currents to calculate the corresponding strong coupling constants. It is obtained that the coupling associated to $N^*Nπ$ vertex is strongly suppressed compared to those related to two other vertices. The strong coupling corresponding to $N^*N^*π$ is obtained to be roughly half of that of $NNπ$ vertex. We compare the obtained results on $N^*Nπ$ and $NNπ$ vertices with the existing predictions of other theoretical studies as well as those extracted from the experimental data.

15 Pages, 4 Figures and 3 Tables