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arXiv · 2205.06054

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

Akihiro Iwanaka·Daisuke Fujii·Atsushi Hosaka
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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.

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Akihiro Iwanaka, Daisuke Fujii, Atsushi Hosaka. 2022-05-12. Decay properties of $N(1535)$ in the holographic QCD. https://doi.org/10.1103/physrevd.105.114057

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