Corrections to the instanton configuration as baryon in holographic QCD

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. We also 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 the 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.