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

TL;DR

This paper investigates the decay of the $N(1535)$ baryon in holographic QCD, deriving an analytic axial coupling and estimating decay width, which aligns reasonably with experimental observations.

Contribution

It provides a novel holographic QCD calculation of the $N(1535)$ decay process, including an analytic formula for the axial coupling and decay width estimation.

Findings

Calculated $g_A^{NN^*} o 0.32$ at $|oldsymbol{k}|=448$ MeV

Estimated decay width $ o 30$ MeV

Results are reasonably consistent with experimental data

Abstract

We study one pion emission decay of the first excited state of the nucleon with negative parity $N(1535) \equiv N^*$ 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 $g_A^{NN^*}$. The off-diagonal axial coupling is obtained at the decaying pion momentum $|\boldsymbol{k}| = 448$ MeV as $g_A^{NN^*} \sim 0.32$, and hence a partial decay width $\Gamma_{N^* \to \pi N} \sim 30$ MeV, which is smaller than but reasonably compared to the experimental data.