Decay properties of $N(1535)$ in the holographic QCD

Abstract

We study one pion emission decay of the first excited state of the nucleon with negative parity $N(1535)\equiv N^{\ast }$ in the holographic model of QCD. The excited state is described as a vibrational mode along the extra $z$ direction in the five-dimensional space-time of the model. We have obtained an analytic formula for the axial coupling of $g_A^{N{N}^{\ast }}$. The off-diagonal axial coupling is obtained at the decaying pion momentum $|\mathbf{k}|=448$ MeV as $g_A^{N{N}^{\ast }}\sim 0.32$, and hence a partial decay width ${\Gamma }_{N^{\ast }\to \pi N}\sim 30$ MeV, which is smaller than but reasonably compared to the experimental data.

Comments: 7 pages, 1 figures