Corrections to the instanton configuration as baryon in holographic QCD

TL;DR

This paper derives corrections to the instanton configuration in holographic QCD, enabling better fits to experimental baryon spectra and providing a framework to study baryon interactions and decay processes.

Contribution

It introduces systematic corrections to the instanton configuration in the D4-D8 model, improving the modeling of baryons and related phenomena in holographic QCD.

Findings

Corrected instanton configurations fit experimental baryon spectra.

The model can incorporate heavy-light baryons and mesons.

Decay rates involving glueballs are numerically evaluated.

Abstract

In this work, we first derive the corrections to the instanton configuration of the flavored gauge field in the D4-D8 model with generic flavor numbers. Then, as the instanton configuration on the D8-branes represents equivalently baryon in this model, keeping our corrections in hand, we systemically study the spectrum of baryon, heavy-light baryon or heavy-light meson and find it is possible to fit the experimental data with the meson data in this model. Besides, we briefly outline how to include the interaction of glueball and heavy-light meson or baryon with our corrections, evaluate numerically the decay rate of the heavy-light meson or baryonic matter involving glueball. Since it is possible to fit all the spectra with same choice of the parameters to the experimental data, we believe our corrections improve the framework of D4-D8 model and the corrected instanton configuration is also useful to investigate other properties of baryon in holography.